{"id":136,"date":"2025-10-31T00:25:51","date_gmt":"2025-10-31T00:25:51","guid":{"rendered":"https:\/\/vibromera.eu\/glossary\/harmonics\/"},"modified":"2026-06-08T04:12:17","modified_gmt":"2026-06-08T04:12:17","slug":"harmonics","status":"publish","type":"glossary","link":"https:\/\/vibromera.eu\/hu\/glossary\/harmonics\/","title":{"rendered":"Mik a harmonikusok a rezg\u00e9sanal\u00edzisben?"},"content":{"rendered":"<style>\n:root {\n  --navy: #0a2540;\n  --navy-light: #1a3a5c;\n  --blue: #2563eb;\n  --blue-light: #3b82f6;\n  --blue-pale: #dbeafe;\n  --blue-ghost: #eff6ff;\n  --beige: #f5f0e8;\n  --beige-dark: #e8dfd3;\n  --beige-light: #faf7f2;\n  --white: #ffffff;\n  --text: #1e293b;\n  --text-secondary: #475569;\n  --text-muted: #94a3b8;\n  --border: #cbd5e1;\n  --border-light: #e2e8f0;\n  --success: #059669;\n  --success-light: #d1fae5;\n  --warning: #d97706;\n  --warning-light: #fef3c7;\n  --danger: #dc2626;\n  --danger-light: #fee2e2;\n  --purple: #7c3aed;\n  --purple-light: #ede9fe;\n  --shadow-sm: 0 1px 3px rgba(10,37,64,0.08);\n  --shadow-md: 0 4px 12px rgba(10,37,64,0.1);\n  --shadow-lg: 0 8px 30px rgba(10,37,64,0.12);\n  --radius: 12px;\n  --radius-sm: 8px;\n  --radius-lg: 16px;\n}\n* { margin: 0; padding: 0; box-sizing: border-box; }\nbody {\n  font-family: 'Source Sans 3', sans-serif;\n  color: var(--text);\n  background: var(--beige-light);\n  min-width: 1200px;\n  line-height: 1.7;\n  font-size: 16px;\n  -webkit-font-smoothing: antialiased;\n}<\/p>\n<p>\/* ===== HERO ===== *\/\n.hero {\n  background: linear-gradient(135deg, var(--navy) 0%, var(--navy-light) 50%, #234e7a 100%);\n  color: var(--white);\n  padding: 56px 0 48px;\n  position: relative;\n  overflow: hidden;\n}\n.hero::before {\n  content: '';\n  position: absolute; inset: 0;\n  background:\n    radial-gradient(circle at 25% 75%, rgba(37,99,235,0.15) 0%, transparent 50%),\n    radial-gradient(circle at 75% 25%, rgba(37,99,235,0.1) 0%, transparent 50%);\n  pointer-events: none;\n}\n.hero::after {\n  content: '';\n  position: absolute; inset: 0;\n  background: url(\"data:image\/svg+xml,%3Csvg width='80' height='80' viewBox='0 0 80 80' xmlns='http:\/\/www.w3.org\/2000\/svg'%3E%3Cg fill='none'%3E%3Cpath d='M0 40 Q20 20 40 40 Q60 60 80 40' stroke='%23ffffff' stroke-opacity='0.02' stroke-width='1' fill='none'\/%3E%3C\/g%3E%3C\/svg%3E\");\n  pointer-events: none;\n}\n.hero-inner {\n  max-width: 1280px; margin: 0 auto; padding: 0 48px; position: relative; z-index: 1;\n}\n.hero h1 {\n  font-family: 'DM Serif Display', serif; font-size: 46px; font-weight: 400; line-height: 1.15; margin-bottom: 16px; letter-spacing: -0.5px;\n}\n.hero h1 span { color: var(--blue-light); }\n.hero .subtitle { font-size: 19px; font-weight: 300; color: rgba(255,255,255,0.78); max-width: 820px; line-height: 1.6; }\n.breadcrumb { margin-bottom: 20px; font-size: 14px; color: rgba(255,255,255,0.5); }\n.breadcrumb a { color: rgba(255,255,255,0.6); text-decoration: none; }\n.breadcrumb a:hover { color: rgba(255,255,255,0.9); }<\/p>\n<p>\/* ===== QUICK NAV ===== *\/\n.quick-nav {\n  background: var(--white); border-bottom: 1px solid var(--border-light); position: sticky; top: 0; z-index: 100; box-shadow: var(--shadow-sm);\n}\n.quick-nav-inner { max-width: 1280px; margin: 0 auto; padding: 0 48px; display: flex; gap: 0; overflow-x: auto; }\n.quick-nav a {\n  display: flex; align-items: center; gap: 6px; padding: 14px 18px; font-size: 14px; font-weight: 500;\n  color: var(--text-secondary); text-decoration: none; white-space: nowrap; border-bottom: 2px solid transparent; transition: all 0.2s;\n}\n.quick-nav a:hover { color: var(--blue); border-bottom-color: var(--blue); background: var(--blue-ghost); }<\/p>\n<p>.container { max-width: 1280px; margin: 0 auto; padding: 0 48px; }<\/p>\n<p>\/* ===== SUMMARY DASHBOARD ===== *\/\n.summary-dashboard { padding: 40px 0; background: var(--white); border-bottom: 1px solid var(--border-light); }\n.dashboard-grid { display: grid; grid-template-columns: 1fr 1fr; gap: 32px; }<\/p>\n<p>.calc-panel {\n  background: var(--beige-light); border: 1px solid var(--beige-dark); border-radius: var(--radius-lg); padding: 32px; position: relative; overflow: hidden;\n}\n.calc-panel::before { content: ''; position: absolute; top: 0; left: 0; right: 0; height: 4px; background: linear-gradient(90deg, var(--blue), var(--blue-light)); }\n.panel-title { font-family: 'DM Serif Display', serif; font-size: 22px; margin-bottom: 6px; color: var(--navy); }\n.panel-subtitle { font-size: 14px; color: var(--text-muted); margin-bottom: 24px; }\n.calc-form { display: grid; grid-template-columns: 1fr 1fr; gap: 16px; }\n.form-group { display: flex; flex-direction: column; gap: 5px; }\n.form-group.full-width { grid-column: 1 \/ -1; }\n.form-group label { font-size: 13px; font-weight: 600; color: var(--text-secondary); text-transform: uppercase; letter-spacing: 0.5px; }\n.form-group label .unit { font-weight: 400; text-transform: none; color: var(--text-muted); }\n.form-group input, .form-group select {\n  padding: 10px 14px; border: 1px solid var(--border); border-radius: var(--radius-sm); font-size: 15px;\n  font-family: 'JetBrains Mono', monospace; background: var(--white); color: var(--text); transition: border-color 0.2s, box-shadow 0.2s;\n}\n.form-group input:focus, .form-group select:focus { outline: none; border-color: var(--blue); box-shadow: 0 0 0 3px rgba(37,99,235,0.12); }\n.calc-btn {\n  grid-column: 1 \/ -1; padding: 13px; background: var(--blue); color: var(--white); border: none; border-radius: var(--radius-sm);\n  font-size: 15px; font-weight: 600; font-family: 'Source Sans 3', sans-serif; cursor: pointer; transition: all 0.2s; margin-top: 4px;\n}\n.calc-btn:hover { background: var(--navy); transform: translateY(-1px); box-shadow: var(--shadow-md); }<\/p>\n<p>\/* Results panel *\/\n.results-panel {\n  background: var(--navy); border-radius: var(--radius-lg); padding: 32px; color: var(--white); position: relative; overflow: hidden;\n}\n.results-panel::before { content: ''; position: absolute; inset: 0; background: radial-gradient(circle at 100% 0%, rgba(37,99,235,0.2) 0%, transparent 60%); pointer-events: none; }\n.results-panel .panel-title { color: var(--white); }\n.results-panel .panel-subtitle { color: rgba(255,255,255,0.5); }<\/p>\n<p>.spectrum-canvas-wrap { position: relative; z-index: 1; width: 100%; height: 250px; margin-bottom: 12px; }\n.spectrum-canvas-wrap canvas { width: 100%; height: 100%; }<\/p>\n<p>.harmonic-table-mini { position: relative; z-index: 1; width: 100%; max-height: 195px; overflow-y: auto; }\n.harmonic-table-mini table { width: 100%; border-collapse: collapse; }\n.harmonic-table-mini th {\n  background: rgba(255,255,255,0.1); color: rgba(255,255,255,0.7); padding: 6px 10px; font-size: 11px;\n  text-transform: uppercase; letter-spacing: 0.5px; text-align: left; position: sticky; top: 0;\n}\n.harmonic-table-mini td {\n  padding: 5px 10px; font-family: 'JetBrains Mono', monospace; font-size: 13px;\n  border-bottom: 1px solid rgba(255,255,255,0.06); color: rgba(255,255,255,0.8);\n}\n.harmonic-table-mini tr:hover td { background: rgba(255,255,255,0.05); }\n.results-empty { text-align: center; padding: 120px 20px; color: rgba(255,255,255,0.35); font-size: 15px; position: relative; z-index: 1; }\n.results-empty .icon { font-size: 36px; margin-bottom: 12px; display: block; }<\/p>\n<p>\/* ===== DIAGNOSTIC SECTION ===== *\/\n.diagnostic-section { padding: 40px 0 48px; background: var(--beige-light); }\n.section-header { margin-bottom: 28px; }\n.section-header h2 { font-family: 'DM Serif Display', serif; font-size: 30px; color: var(--navy); margin-bottom: 6px; }\n.section-header p { font-size: 16px; color: var(--text-secondary); }<\/p>\n<p>.fault-cards { display: grid; grid-template-columns: repeat(3, 1fr); gap: 20px; margin-bottom: 36px; }\n.fault-card {\n  background: var(--white); border: 1px solid var(--border-light); border-radius: var(--radius); padding: 24px;\n  box-shadow: var(--shadow-sm); transition: all 0.3s; position: relative; overflow: hidden;\n}\n.fault-card:hover { box-shadow: var(--shadow-lg); transform: translateY(-3px); }\n.fault-card::before { content: ''; position: absolute; top: 0; left: 0; right: 0; height: 3px; }\n.fault-card.unbalance::before { background: var(--blue); }\n.fault-card.misalignment::before { background: var(--warning); }\n.fault-card.looseness::before { background: var(--danger); }\n.fault-card.electrical::before { background: var(--purple); }\n.fault-card.rub::before { background: #ec4899; }\n.fault-card.bearing::before { background: var(--success); }<\/p>\n<p>.fc-icon { font-size: 28px; margin-bottom: 10px; }\n.fc-title { font-family: 'DM Serif Display', serif; font-size: 18px; color: var(--navy); margin-bottom: 4px; }\n.fc-pattern { font-family: 'JetBrains Mono', monospace; font-size: 13px; color: var(--blue); margin-bottom: 10px; font-weight: 600; }\n.fc-body { font-size: 13px; color: var(--text-secondary); line-height: 1.5; }\n.fc-body strong { color: var(--text); }<\/p>\n<p>.fc-spectrum { display: flex; align-items: flex-end; gap: 3px; height: 50px; margin-top: 12px; padding: 4px; background: var(--beige-light); border-radius: 4px; }\n.fc-spectrum .bar { flex: 1; border-radius: 2px 2px 0 0; min-height: 2px; position: relative; }\n.fc-spectrum .bar-label {\n  position: absolute; bottom: -14px; left: 50%; transform: translateX(-50%);\n  font-size: 8px; font-family: 'JetBrains Mono', monospace; color: var(--text-muted); white-space: nowrap;\n}<\/p>\n<p>\/* Tables *\/\n.table-wrap {\n  background: var(--white); border-radius: var(--radius); border: 1px solid var(--border-light); overflow: hidden; box-shadow: var(--shadow-sm); margin-bottom: 32px;\n}\n.table-wrap .table-title { padding: 16px 24px; font-weight: 600; font-size: 15px; background: var(--beige); border-bottom: 1px solid var(--border-light); color: var(--navy); }\ntable { width: 100%; border-collapse: collapse; }\ntable th {\n  background: var(--navy); color: var(--white); padding: 12px 16px; font-size: 13px;\n  font-weight: 600; text-transform: uppercase; letter-spacing: 0.5px; text-align: left;\n}\ntable td { padding: 11px 16px; font-size: 14px; border-bottom: 1px solid var(--border-light); color: var(--text); }\ntable tr:last-child td { border-bottom: none; }\ntable tr:hover td { background: var(--blue-ghost); }\ntable td:first-child { font-weight: 600; }\n.mono { font-family: 'JetBrains Mono', monospace; font-size: 13px; }\n.tag { display: inline-block; padding: 2px 8px; border-radius: 4px; font-size: 11px; font-weight: 600; text-transform: uppercase; letter-spacing: 0.3px; }\n.tag.high { background: var(--danger-light); color: #991b1b; }\n.tag.medium { background: var(--warning-light); color: #92400e; }\n.tag.low { background: var(--success-light); color: #065f46; }\n.tag.info { background: var(--blue-pale); color: var(--navy); }\n.tag.purple { background: var(--purple-light); color: #5b21b6; }<\/p>\n<p>\/* ===== MAIN CONTENT ===== *\/\n.main-content { padding: 48px 0 64px; background: var(--white); }\n.content-layout { display: grid; grid-template-columns: 1fr 300px; gap: 48px; }<\/p>\n<p>.toc-sidebar { position: sticky; top: 80px; align-self: start; }\n.toc-box { background: var(--beige-light); border: 1px solid var(--beige-dark); border-radius: var(--radius); padding: 24px; }\n.toc-box h3 { font-size: 14px; font-weight: 700; text-transform: uppercase; letter-spacing: 0.5px; color: var(--navy); margin-bottom: 16px; }\n.toc-box a {\n  display: block; padding: 6px 0; font-size: 14px; color: var(--text-secondary); text-decoration: none;\n  border-left: 2px solid transparent; padding-left: 12px; transition: all 0.2s;\n}\n.toc-box a:hover { color: var(--blue); border-left-color: var(--blue); }\n.toc-box a.sub { padding-left: 28px; font-size: 13px; color: var(--text-muted); }<\/p>\n<p>.article-content h2 { font-family: 'DM Serif Display', serif; font-size: 28px; color: var(--navy); margin: 48px 0 16px; padding-top: 20px; }\n.article-content h2:first-child { margin-top: 0; }\n.article-content h3 { font-size: 20px; font-weight: 700; color: var(--navy-light); margin: 32px 0 12px; }\n.article-content h4 { font-size: 16px; font-weight: 700; color: var(--text); margin: 24px 0 8px; }\n.article-content p { margin-bottom: 16px; color: var(--text); line-height: 1.8; }\n.article-content ul, .article-content ol { margin: 0 0 16px 24px; line-height: 1.8; }\n.article-content li { margin-bottom: 6px; }\n.article-content li strong { color: var(--navy); }\n.article-content a { color: var(--blue); text-decoration: none; border-bottom: 1px solid transparent; transition: border-color 0.2s; }\n.article-content a:hover { border-bottom-color: var(--blue); }<\/p>\n<p>.info-box { background: var(--blue-ghost); border-left: 4px solid var(--blue); border-radius: 0 var(--radius-sm) var(--radius-sm) 0; padding: 20px 24px; margin: 24px 0; }\n.info-box.warning { background: #fffbeb; border-left-color: var(--warning); }\n.info-box.success { background: #ecfdf5; border-left-color: var(--success); }\n.info-box.danger { background: #fef2f2; border-left-color: var(--danger); }\n.info-box .box-title { font-weight: 700; font-size: 15px; margin-bottom: 6px; color: var(--navy); }\n.info-box p { margin-bottom: 8px; font-size: 14px; }\n.info-box p:last-child { margin-bottom: 0; }<\/p>\n<p>.example-block { background: var(--beige-light); border: 1px solid var(--beige-dark); border-radius: var(--radius); padding: 28px; margin: 24px 0; }\n.example-block .example-title { font-family: 'DM Serif Display', serif; font-size: 18px; color: var(--navy); margin-bottom: 16px; }<\/p>\n<p>.formula-box {\n  background: var(--navy); color: var(--white); border-radius: var(--radius); padding: 24px 32px; margin: 24px 0;\n  text-align: center; position: relative; overflow: hidden;\n}\n.formula-box::before { content: ''; position: absolute; inset: 0; background: radial-gradient(circle at 80% 50%, rgba(37,99,235,0.15) 0%, transparent 60%); pointer-events: none; }\n.formula-box .formula-label { font-size: 12px; font-weight: 700; text-transform: uppercase; letter-spacing: 1px; color: var(--blue-light); margin-bottom: 10px; position: relative; }\n.formula-box .formula-main { font-family: 'JetBrains Mono', monospace; font-size: 22px; font-weight: 600; position: relative; line-height: 1.4; }\n.formula-box .formula-note { font-size: 13px; color: rgba(255,255,255,0.5); margin-top: 10px; position: relative; }<\/p>\n<p>.article-table { width: 100%; margin: 20px 0; border: 1px solid var(--border-light); border-radius: var(--radius-sm); overflow: hidden; }\n.article-table th { padding: 10px 14px; font-size: 12px; }\n.article-table td { padding: 10px 14px; font-size: 14px; }<\/p>\n<p>\/* ===== SHOP CTA ===== *\/\n.shop-cta {\n  background: linear-gradient(135deg, var(--navy) 0%, var(--navy-light) 100%); padding: 48px 0; color: var(--white);\n  text-align: center; position: relative; overflow: hidden;\n}\n.shop-cta::before { content: ''; position: absolute; inset: 0; background: radial-gradient(circle at 50% 50%, rgba(37,99,235,0.15) 0%, transparent 60%); pointer-events: none; }\n.shop-cta h2 { font-family: 'DM Serif Display', serif; font-size: 32px; margin-bottom: 12px; position: relative; }\n.shop-cta p { font-size: 17px; color: rgba(255,255,255,0.7); margin-bottom: 28px; max-width: 640px; margin-left: auto; margin-right: auto; position: relative; }\n.shop-cta .cta-btn {\n  display: inline-flex; align-items: center; gap: 8px; padding: 14px 36px; background: var(--blue); color: var(--white);\n  text-decoration: none; border-radius: var(--radius-sm); font-weight: 600; font-size: 16px; transition: all 0.2s; position: relative;\n}\n.shop-cta .cta-btn:hover { background: var(--blue-light); transform: translateY(-2px); box-shadow: 0 8px 24px rgba(37,99,235,0.3); }<\/p>\n<p>.page-footer { background: var(--beige); border-top: 1px solid var(--beige-dark); padding: 32px 0; text-align: center; }\n.page-footer a { color: var(--blue); text-decoration: none; font-weight: 500; }\n.page-footer p { font-size: 14px; color: var(--text-muted); }<\/p>\n<p>@media print { .quick-nav, .shop-cta { display: none; } body { min-width: auto; } }\n<\/style>\n<p><!-- HERO --><\/p>\n<header class=\"hero\">\n<div class=\"hero-inner\">\n<div class=\"breadcrumb\">\n      <a href=\"https:\/\/vibromera.eu\/hu\/\">Home<\/a> \u2192 <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/\">Sz\u00f3jegyz\u00e9k<\/a> \u2192 Felharmonikusok\n    <\/div>\n<h1>A  meg\u00e9rt\u00e9se <span>Felharmonikusok<\/span> a rezg\u00e9sanal\u00edzisben<\/h1>\n<p class=\"subtitle\">Mi\u00e9rt jelennek meg a tengelysebess\u00e9g eg\u00e9sz sz\u00e1m\u00fa t\u00f6bbsz\u00f6r\u00f6sei a rezg\u00e9si spektrumokban \u2013 \u00e9s hogyan t\u00e1rja fel az 1\u00d7, 2\u00d7, 3\u00d7\u2026 harmonikusok mint\u00e1zata a g\u00e9pek hib\u00e1inak pontos term\u00e9szet\u00e9t, az egyens\u00falyhi\u00e1nyt\u00f3l \u00e9s a be\u00e1ll\u00edt\u00e1si hib\u00e1kt\u00f3l kezdve a lazas\u00e1gon \u00e9s a s\u00farl\u00f3d\u00e1son \u00e1t.<\/p>\n<\/p><\/div>\n<\/header>\n\t\t<section class=\"woocommerce hestia-shop products is-shortcode\" id=\"products\" data-sorder=\"hestia_shop\" >\n\t\t\t\t\t\t<div class=\"\">\n\t\t\t\t\t\t<div class=\"hestia-shop-content\">\n\t\t\t<div class=\"row\" data-aos=\"fade-up\" >\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hu\/product\/balanset-1\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hu\/product\/balanset-1\/\" title=\"Hordozhat\u00f3 kiegyens\u00falyoz\u00f3 \u00e9s rezg\u00e9selemz\u0151 Balanset-1A\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Balanset-1A teljes k\u00e9szlet\u0171 hordozhat\u00f3 kiegyens\u00falyoz\u00f3 \u00e9s rezg\u00e9selemz\u0151 k\u00e9sz\u00fcl\u00e9k\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-18x12.webp 18w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-272x182.webp 272w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/hu\/product-category\/devices\/\" rel=\"tag\">Eszk\u00f6z\u00f6k<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/hu\/product\/balanset-1\/\" title=\"Hordozhat\u00f3 kiegyens\u00falyoz\u00f3 \u00e9s rezg\u00e9selemz\u0151 Balanset-1A\">Hordozhat\u00f3 kiegyens\u00falyoz\u00f3 \u00e9s rezg\u00e9selemz\u0151 Balanset-1A<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>1,975.00<\/span> + \u00c1FA (ha alkalmazand\u00f3)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/hu\/wp-json\/wp\/v2\/glossary\/136?add-to-cart=986\" data-quantity=\"1\" data-product_id=\"986\" data-product_sku=\"BS-1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Kos\u00e1rba teszem\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Kos\u00e1rba teszem\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/hu\/wp-json\/wp\/v2\/glossary\/136?add-to-cart=986\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_986\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"986\" data-product_sku=\"BS-1\" aria-label=\"Kos\u00e1rba: \u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d\" rel=\"nofollow\" data-success_message=\"\u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d has been added to your cart\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Kos\u00e1rba teszem<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_986\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hu\/product\/vibration-sensor\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hu\/product\/vibration-sensor\/\" title=\"Rezg\u00e9s\u00e9rz\u00e9kel\u0151\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Balanset-1A rezg\u00e9s\u00e9rz\u00e9kel\u0151 k\u00f6zelr\u0151l\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-1024x682.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3.webp 1280w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/hu\/product-category\/parts\/\" rel=\"tag\">Alkatr\u00e9szek<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/hu\/product\/vibration-sensor\/\" title=\"Rezg\u00e9s\u00e9rz\u00e9kel\u0151\">Rezg\u00e9s\u00e9rz\u00e9kel\u0151<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>90.00<\/span> + \u00c1FA (ha alkalmazand\u00f3)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/hu\/wp-json\/wp\/v2\/glossary\/136?add-to-cart=1820\" data-quantity=\"1\" data-product_id=\"1820\" data-product_sku=\"VS-1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Kos\u00e1rba teszem\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Kos\u00e1rba teszem\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/hu\/wp-json\/wp\/v2\/glossary\/136?add-to-cart=1820\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_1820\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"1820\" data-product_sku=\"VS-1\" aria-label=\"Kos\u00e1rba: \u201cVibration sensor\u201d\" rel=\"nofollow\" data-success_message=\"\u201cVibration sensor\u201d has been added to your cart\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Kos\u00e1rba teszem<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_1820\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hu\/product\/optical-sensor-for-balanset-and-arbalance\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hu\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optikai \u00e9rz\u00e9kel\u0151 (l\u00e9zeres fordulatsz\u00e1mm\u00e9r\u0151)\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Optikai \u00e9rz\u00e9kel\u0151 (l\u00e9zeres fordulatsz\u00e1mm\u00e9r\u0151)\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-1024x682.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-1536x1023.webp 1536w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-18x12.webp 18w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-460x306.webp 460w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU.webp 1600w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/hu\/product-category\/parts\/\" rel=\"tag\">Alkatr\u00e9szek<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/hu\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optikai \u00e9rz\u00e9kel\u0151 (l\u00e9zeres fordulatsz\u00e1mm\u00e9r\u0151)\">Optikai \u00e9rz\u00e9kel\u0151 (l\u00e9zeres fordulatsz\u00e1mm\u00e9r\u0151)<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>124.00<\/span> + \u00c1FA (ha alkalmazand\u00f3)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/hu\/wp-json\/wp\/v2\/glossary\/136?add-to-cart=1832\" data-quantity=\"1\" data-product_id=\"1832\" data-product_sku=\"Tach-1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Kos\u00e1rba teszem\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Kos\u00e1rba teszem\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/hu\/wp-json\/wp\/v2\/glossary\/136?add-to-cart=1832\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_1832\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"1832\" data-product_sku=\"Tach-1\" aria-label=\"Kos\u00e1rba: \u201cOptical Sensor (Laser Tachometer)\u201d\" rel=\"nofollow\" data-success_message=\"\u201cOptical Sensor (Laser Tachometer)\u201d has been added to your cart\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Kos\u00e1rba teszem<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_1832\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hu\/product\/balanset-4\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hu\/product\/balanset-4\/\" title=\"Balanset-4\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Vibromera rotor kiegyens\u00falyoz\u00f3 k\u00e9szlet: hordt\u00e1ska, t\u00f6bbcsatorn\u00e1s jel\u00e1talak\u00edt\u00f3, k\u00e9zi analiz\u00e1tor, m\u00e1gneses talp, rezg\u00e9s\u00e9rz\u00e9kel\u0151k \u00e9s tekercselt k\u00e1belek.\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-18x12.webp 18w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-460x306.webp 460w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4.webp 640w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/hu\/product-category\/devices\/\" rel=\"tag\">Eszk\u00f6z\u00f6k<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/hu\/product\/balanset-4\/\" title=\"Balanset-4\">Balanset-4<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>6,803.00<\/span> + \u00c1FA (ha alkalmazand\u00f3)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/hu\/wp-json\/wp\/v2\/glossary\/136?add-to-cart=1833\" data-quantity=\"1\" data-product_id=\"1833\" data-product_sku=\"BS-4\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Kos\u00e1rba teszem\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Kos\u00e1rba teszem\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/hu\/wp-json\/wp\/v2\/glossary\/136?add-to-cart=1833\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_1833\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"1833\" data-product_sku=\"BS-4\" aria-label=\"Kos\u00e1rba: \u201cBalanset-4\u201d\" rel=\"nofollow\" data-success_message=\"\u201cBalanset-4\u201d has been added to your cart\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Kos\u00e1rba teszem<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_1833\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div><!-- \/.row --><div class=\"row\">\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hu\/product\/magnet-stand\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hu\/product\/magnet-stand\/\" title=\"M\u00e1gneses \u00e1llv\u00e1ny Insize-60-kgf\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"M\u00e1gneses alap.\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-1024x682.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36.webp 1280w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/hu\/product-category\/parts\/\" rel=\"tag\">Alkatr\u00e9szek<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/hu\/product\/magnet-stand\/\" title=\"M\u00e1gneses \u00e1llv\u00e1ny Insize-60-kgf\">M\u00e1gneses \u00e1llv\u00e1ny Insize-60-kgf<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>46.00<\/span> + \u00c1FA (ha alkalmazand\u00f3)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/hu\/wp-json\/wp\/v2\/glossary\/136?add-to-cart=1852\" data-quantity=\"1\" data-product_id=\"1852\" data-product_sku=\"MS-1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Kos\u00e1rba teszem\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Kos\u00e1rba teszem\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/hu\/wp-json\/wp\/v2\/glossary\/136?add-to-cart=1852\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_1852\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"1852\" data-product_sku=\"MS-1\" aria-label=\"Kos\u00e1rba: \u201cMagnetic Stand Insize-60-kgf\u201d\" rel=\"nofollow\" data-success_message=\"\u201cMagnetic Stand Insize-60-kgf\u201d has been added to your cart\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Kos\u00e1rba teszem<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_1852\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hu\/product\/reflective-tape\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hu\/product\/reflective-tape\/\" title=\"F\u00e9nyvisszaver\u0151 szalag\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"F\u00e9nyvisszaver\u0151 szalag\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-16x12.webp 16w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-460x306.webp 460w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-272x182.webp 272w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/hu\/product-category\/parts\/\" rel=\"tag\">Alkatr\u00e9szek<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/hu\/product\/reflective-tape\/\" title=\"F\u00e9nyvisszaver\u0151 szalag\">F\u00e9nyvisszaver\u0151 szalag<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>10.00<\/span> + \u00c1FA (ha alkalmazand\u00f3)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/hu\/wp-json\/wp\/v2\/glossary\/136?add-to-cart=2329\" data-quantity=\"1\" data-product_id=\"2329\" data-product_sku=\"rt-1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Kos\u00e1rba teszem\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Kos\u00e1rba teszem\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/hu\/wp-json\/wp\/v2\/glossary\/136?add-to-cart=2329\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_2329\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"2329\" data-product_sku=\"rt-1\" aria-label=\"Kos\u00e1rba: \u201cReflective tape\u201d\" rel=\"nofollow\" data-success_message=\"\u201cReflective tape\u201d has been added to your cart\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Kos\u00e1rba teszem<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_2329\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hu\/product\/dynamic-balancer-balanset-1a\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hu\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dinamikus kiegyens\u00falyoz\u00f3 &quot;Balanset-1A&quot; OEM\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Balanset-1A k\u00e9szlet tartalma interf\u00e9sz egys\u00e9ggel, \u00e9rz\u00e9kel\u0151kkel, tachom\u00e9terrel \u00e9s tartoz\u00e9kokkal\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-1024x683.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-1536x1024.webp 1536w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-2048x1366.webp 2048w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-e1732998877834.webp 708w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/hu\/product-category\/devices\/\" rel=\"tag\">Eszk\u00f6z\u00f6k<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/hu\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dinamikus kiegyens\u00falyoz\u00f3 &quot;Balanset-1A&quot; OEM\">Dinamikus kiegyens\u00falyoz\u00f3 \"Balanset-1A\" OEM<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>1,735.00<\/span> + \u00c1FA (ha alkalmazand\u00f3)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/hu\/wp-json\/wp\/v2\/glossary\/136?add-to-cart=4193\" data-quantity=\"1\" data-product_id=\"4193\" data-product_sku=\"BS-1OEM\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Kos\u00e1rba teszem\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Kos\u00e1rba teszem\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/hu\/wp-json\/wp\/v2\/glossary\/136?add-to-cart=4193\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_4193\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"4193\" data-product_sku=\"BS-1OEM\" aria-label=\"Kos\u00e1rba: \u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d\" rel=\"nofollow\" data-success_message=\"\u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d has been added to your cart\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Kos\u00e1rba teszem<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_4193\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/section>\n\t\t\n<p><!-- QUICK NAV --><\/p>\n<nav class=\"quick-nav\">\n<div class=\"quick-nav-inner\">\n    <a href=\"#calculator\">\u2699 Harmonikus kalkul\u00e1tor<\/a><br \/>\n    <a href=\"#diagnostic-cards\">\ud83d\udcca Hibamint\u00e1k<\/a><br \/>\n    <a href=\"#diagnostic-table\">\ud83d\udccb Diagnosztikai t\u00e1bl\u00e1zat<\/a><br \/>\n    <a href=\"#definition\">\ud83d\udcd0 Meghat\u00e1roz\u00e1s<\/a><br \/>\n    <a href=\"#why-generated\">\ud83d\udd22 Mi\u00e9rt keletkeznek?<\/a><br \/>\n    <a href=\"#fault-signatures\">\ud83d\udd0d Hibakarakterisztik\u00e1k<\/a><br \/>\n    <a href=\"#non-synchronous\">\u3030\ufe0f Nem szinkron<\/a><br \/>\n    <a href=\"#analysis-guide\">\ud83d\udee0 Elemz\u00e9si \u00fatmutat\u00f3<\/a><br \/>\n    <a href=\"#case-studies\">\ud83d\udcdd Esettanulm\u00e1nyok<\/a>\n  <\/div>\n<\/nav>\n<p><!-- SUMMARY DASHBOARD --><\/p>\n<section class=\"summary-dashboard\" id=\"calculator\">\n<div class=\"container\">\n<div class=\"dashboard-grid\">\n<p>      <!-- Calculator --><\/p>\n<div class=\"calc-panel\">\n<h2 class=\"panel-title\">Harmonikus frekvencia kalkul\u00e1tor<\/h2>\n<p class=\"panel-subtitle\">Sz\u00e1m\u00edtsa ki a harmonikusokat \u00e9s a k\u00f6z\u00f6s hibafrekvenci\u00e1kat b\u00e1rmely tengelysebess\u00e9ghez<\/p>\n<div class=\"calc-form\">\n<div class=\"form-group\">\n            <label>A tengely fordulatsz\u00e1ma <span class=\"unit\">(FORDULATSZ\u00c1M)<\/span><\/label><br \/>\n            <input type=\"number\" id=\"shaftRPM\" value=\"1800\" min=\"1\" step=\"1\">\n          <\/div>\n<div class=\"form-group\">\n            <label>Harmonikusok sz\u00e1ma<\/label><br \/>\n            <select id=\"numHarmonics\"><option value=\"5\">5 felharmonikus<\/option><option value=\"10\" selected>10 felharmonikus<\/option><option value=\"15\">15 felharmonikus<\/option><option value=\"20\">20 felharmonikus<\/option><\/select>\n          <\/div>\n<div class=\"form-group\">\n            <label>Lap\u00e1tok\/lamell\u00e1k sz\u00e1ma <span class=\"unit\">(opcion\u00e1lis)<\/span><\/label><br \/>\n            <input type=\"number\" id=\"numBlades\" value=\"\" min=\"0\" step=\"1\" placeholder=\"pl. 5, 7\">\n          <\/div>\n<div class=\"form-group\">\n            <label>Fogasker\u00e9k fogainak sz\u00e1ma <span class=\"unit\">(opcion\u00e1lis)<\/span><\/label><br \/>\n            <input type=\"number\" id=\"numTeeth\" value=\"\" min=\"0\" step=\"1\" placeholder=\"pl. 48\">\n          <\/div>\n<div class=\"form-group\">\n            <label>Vonalfrekvencia <span class=\"unit\">(Hz)<\/span><\/label><br \/>\n            <select id=\"lineFreq\"><option value=\"50\" selected>50 Hz (Eur\u00f3pa \/ \u00c1zsia)<\/option><option value=\"60\">60 Hz (Amerika)<\/option><\/select>\n          <\/div>\n<div class=\"form-group\">\n            <label>P\u00f3lusok sz\u00e1ma <span class=\"unit\">(motor)<\/span><\/label><br \/>\n            <select id=\"numPoles\"><option value=\"2\">2 p\u00f3lus\u00fa<\/option><option value=\"4\" selected>4 p\u00f3lus\u00fa<\/option><option value=\"6\">6 p\u00f3lus\u00fa<\/option><option value=\"8\">8 p\u00f3lus\u00fa<\/option><\/select>\n          <\/div>\n<p>          <button class=\"calc-btn\" onclick=\"calculate()\">\u00d6sszes frekvencia kisz\u00e1m\u00edt\u00e1sa \u2192<\/button>\n        <\/div>\n<\/p><\/div>\n<p>      <!-- Results --><\/p>\n<div class=\"results-panel\">\n<h2 class=\"panel-title\">Harmonikus spektrum<\/h2>\n<p class=\"panel-subtitle\">Vizu\u00e1lis frekvenciat\u00e9rk\u00e9p \u00e9s teljes harmonikus t\u00e1bl\u00e1zat<\/p>\n<div id=\"resultsArea\">\n<div class=\"results-empty\">\n            <span class=\"icon\">\ud83d\udcc8<\/span><br \/>\n            Adja meg a tengelysebess\u00e9get, majd kattintson a Sz\u00e1m\u00edt\u00e1s gombra<br \/>harmonikus frekvenci\u00e1k megtekint\u00e9s\u00e9hez\n          <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/section>\n<p><!-- DIAGNOSTIC CARDS + TABLES --><\/p>\n<section class=\"diagnostic-section\" id=\"diagnostic-cards\">\n<div class=\"container\">\n<div class=\"section-header\">\n<h2>Hibakarakterisztika-mint\u00e1k \u2013 Gyors azonos\u00edt\u00e1s<\/h2>\n<p>Minden g\u00e9phiba jellegzetes harmonikus mint\u00e1zatot hoz l\u00e9tre, amely l\u00e1that\u00f3 a <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/spectrum\/\">rezg\u00e9si spektrum<\/a><\/p>\n<\/p><\/div>\n<div class=\"fault-cards\">\n<div class=\"fault-card unbalance\">\n<div class=\"fc-icon\">\u2696\ufe0f<\/div>\n<div class=\"fc-title\">Kiegyens\u00falyozatlans\u00e1g<\/div>\n<div class=\"fc-pattern\">Domin\u00e1ns 1\u00d7 \u2014 tiszta, egyetlen cs\u00facs<\/div>\n<div class=\"fc-body\"><strong>Minta:<\/strong> Er\u0151s 1\u00d7 minim\u00e1lis felharmonikusokkal. Az amplit\u00fad\u00f3 ar\u00e1nyos a sebess\u00e9ggel\u00b2. A f\u00e1zis stabil \u00e9s megism\u00e9telhet\u0151. <strong>Ir\u00e1ny:<\/strong> Els\u0151sorban radi\u00e1lis rezg\u00e9s.<\/div>\n<div class=\"fc-spectrum\">\n<div class=\"bar\" style=\"height:95%;background:var(--blue)\"><span class=\"bar-label\">1\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:8%;background:var(--blue-pale)\"><span class=\"bar-label\">2\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:3%;background:var(--blue-pale)\"><span class=\"bar-label\">3\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:2%;background:var(--blue-pale)\"><span class=\"bar-label\">4\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:1%;background:var(--blue-pale)\"><span class=\"bar-label\">5\u00d7<\/span><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"fault-card misalignment\">\n<div class=\"fc-icon\">\u2194\ufe0f<\/div>\n<div class=\"fc-title\">Tengelyeltol\u00f3d\u00e1s<\/div>\n<div class=\"fc-pattern\">Er\u0151s 2\u00d7 (\u00e9s 3\u00d7) az 1\u00d7-hez k\u00e9pest<\/div>\n<div class=\"fc-body\"><strong>Sz\u00f6gelt\u00e9r\u00e9s:<\/strong> Magas 1\u00d7 axi\u00e1lis. <strong>P\u00e1rhuzamos:<\/strong> Nagy, 2\u00d7 radi\u00e1lis, gyakran \u2265 1\u00d7 amplit\u00fad\u00f3j\u00fa. S\u00falyos esetekben 3\u00d7, 4\u00d7. <strong>Kulcsfontoss\u00e1g\u00fa:<\/strong> Nagy axi\u00e1lis rezg\u00e9s a tengelykapcsol\u00f3n\u00e1l.<\/div>\n<div class=\"fc-spectrum\">\n<div class=\"bar\" style=\"height:60%;background:var(--warning)\"><span class=\"bar-label\">1\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:90%;background:var(--warning)\"><span class=\"bar-label\">2\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:40%;background:var(--warning-light)\"><span class=\"bar-label\">3\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:15%;background:var(--warning-light)\"><span class=\"bar-label\">4\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:5%;background:var(--warning-light)\"><span class=\"bar-label\">5\u00d7<\/span><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"fault-card looseness\">\n<div class=\"fc-icon\">\ud83d\udd29<\/div>\n<div class=\"fc-title\">Mechanikai lazas\u00e1g<\/div>\n<div class=\"fc-pattern\">Sok felharmonikus: 1\u00d7, 2\u00d7, 3\u00d7, 4\u00d7\u2026 10\u00d7+-ig<\/div>\n<div class=\"fc-body\"><strong>Minta:<\/strong> Gazdag felharmonikus-csal\u00e1d, gyakran szubharmonikusokkal (\u00bd\u00d7, \u2153\u00d7). Instabil f\u00e1zis. T\u00f6bb felharmonikus = s\u00falyosabb lazas\u00e1g. <strong>F\u0151 mutat\u00f3:<\/strong> szubharmonikusok jelen vannak.<\/div>\n<div class=\"fc-spectrum\">\n<div class=\"bar\" style=\"height:70%;background:var(--danger)\"><span class=\"bar-label\">1\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:55%;background:var(--danger)\"><span class=\"bar-label\">2\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:50%;background:var(--danger)\"><span class=\"bar-label\">3\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:40%;background:var(--danger)\"><span class=\"bar-label\">4\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:35%;background:var(--danger-light)\"><span class=\"bar-label\">5\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:25%;background:var(--danger-light)\"><span class=\"bar-label\">6\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:20%;background:var(--danger-light)\"><span class=\"bar-label\">7\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:12%;background:var(--danger-light)\"><span class=\"bar-label\">8\u00d7<\/span><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"fault-card bearing\">\n<div class=\"fc-icon\">\ud83d\udd34<\/div>\n<div class=\"fc-title\">Csap\u00e1gyhiba<\/div>\n<div class=\"fc-pattern\">Nem szinkron cs\u00facsok: BPFO, BPFI + harmonikusok<\/div>\n<div class=\"fc-body\"><strong>Minta:<\/strong> Cs\u00facsok itt: <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/bearing-fault-frequencies\/\" style=\"color:var(--success)\">csap\u00e1gyhiba-frekvenci\u00e1k<\/a> (nem a fordulatsz\u00e1m eg\u00e9sz sz\u00e1m\u00fa t\u00f6bbsz\u00f6r\u00f6sei). A hibafrekvencia harmonikusai + <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/sidebands\/\" style=\"color:var(--success)\">oldals\u00e1vok<\/a> at 1\u00d7 spacing.<\/div>\n<div class=\"fc-spectrum\">\n<div class=\"bar\" style=\"height:30%;background:var(--success)\"><span class=\"bar-label\">1\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:5%;background:#ddd\"><span class=\"bar-label\"><\/span><\/div>\n<div class=\"bar\" style=\"height:75%;background:var(--success)\"><span class=\"bar-label\">BPFO<\/span><\/div>\n<div class=\"bar\" style=\"height:45%;background:var(--success-light)\"><span class=\"bar-label\">2\u00d7BPF<\/span><\/div>\n<div class=\"bar\" style=\"height:25%;background:var(--success-light)\"><span class=\"bar-label\">3\u00d7BPF<\/span><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"fault-card electrical\">\n<div class=\"fc-icon\">\u26a1<\/div>\n<div class=\"fc-title\">Elektromos hib\u00e1k<\/div>\n<div class=\"fc-pattern\">2\u00d7 vonali frekvencia (2FL) \u00b1 cs\u00fasz\u00e1si oldals\u00e1vok<\/div>\n<div class=\"fc-body\"><strong>\u00c1ll\u00f3r\u00e9sz:<\/strong> 2FL (100\/120 Hz) domin\u00e1ns. <strong>Rotor rudak:<\/strong> 1\u00d7 oldals\u00e1vokkal a k\u00f6vetkez\u0151n\u00e9l: <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/pole-pass-frequency\/\" style=\"color:var(--purple)\">p\u00f3lus\u00e1thalad\u00e1si frekvencia<\/a>. <strong>Teszt:<\/strong> \u00c1ramkimarad\u00e1s \u2013 az elektromos rezg\u00e9s azonnal megsz\u0171nik.<\/div>\n<div class=\"fc-spectrum\">\n<div class=\"bar\" style=\"height:50%;background:var(--purple)\"><span class=\"bar-label\">1\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:85%;background:var(--purple)\"><span class=\"bar-label\">2FL<\/span><\/div>\n<div class=\"bar\" style=\"height:30%;background:var(--purple-light)\"><span class=\"bar-label\">4FL<\/span><\/div>\n<div class=\"bar\" style=\"height:15%;background:var(--purple-light)\"><span class=\"bar-label\">6FL<\/span><\/div>\n<div class=\"bar\" style=\"height:5%;background:var(--purple-light)\"><span class=\"bar-label\">8FL<\/span><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"fault-card rub\">\n<div class=\"fc-icon\">\ud83d\udd25<\/div>\n<div class=\"fc-title\">Tengely d\u00f6rzs\u00f6l\u00e9s<\/div>\n<div class=\"fc-pattern\">Sok magas rend\u0171 felharmonikus + alharmonikusok<\/div>\n<div class=\"fc-body\"><strong>K\u00f6nny\u0171 d\u00f6rzs\u00f6l\u00e9s:<\/strong> \u00bd\u00d7, 1\u00d7 \u00e9s sok felharmonikus 10\u00d7+-ig. <strong>Teljes gy\u0171r\u0171s:<\/strong> A szubharmonikusok (\u00bd\u00d7, \u2153\u00d7, \u00bc\u00d7) domin\u00e1nsak. A h\u0151hat\u00e1s miatti hajl\u00e1s az 1\u00d7-es vektor eltol\u00f3d\u00e1s\u00e1t okozhatja.<\/div>\n<div class=\"fc-spectrum\">\n<div class=\"bar\" style=\"height:35%;background:#ec4899\"><span class=\"bar-label\">\u00bd\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:65%;background:#ec4899\"><span class=\"bar-label\">1\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:40%;background:#ec4899\"><span class=\"bar-label\">2\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:30%;background:#fbcfe8\"><span class=\"bar-label\">3\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:25%;background:#fbcfe8\"><span class=\"bar-label\">4\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:20%;background:#fbcfe8\"><span class=\"bar-label\">5\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:15%;background:#fbcfe8\"><span class=\"bar-label\">6\u00d7<\/span><\/div>\n<div class=\"bar\" style=\"height:12%;background:#fbcfe8\"><span class=\"bar-label\">7\u00d7<\/span><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<p>    <!-- MASTER DIAGNOSTIC TABLE --><\/p>\n<div class=\"table-wrap\" id=\"diagnostic-table\">\n<div class=\"table-title\">\ud83d\udccb Teljes harmonikus minta diagnosztikai referencia<\/div>\n<table>\n<thead>\n<tr>\n<th>Hiba\u00e1llapot<\/th>\n<th>Domin\u00e1ns harmonikusok<\/th>\n<th>Amplit\u00fad\u00f3mint\u00e1zat<\/th>\n<th>Ir\u00e1ny<\/th>\n<th>F\u00e1zis viselked\u00e9s<\/th>\n<th>Megk\u00fcl\u00f6nb\u00f6ztet\u0151 jegy<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>T\u00f6meg-egyens\u00falyhi\u00e1ny<\/td>\n<td class=\"mono\">1\u00d7<\/td>\n<td>1\u00d7 \u226b minden m\u00e1s<\/td>\n<td>Sug\u00e1rir\u00e1ny\u00fa<\/td>\n<td>Stabil; a neh\u00e9zpontot k\u00f6veti<\/td>\n<td>Tiszta, egyetlen cs\u00facs; ar\u00e1nyos a sebess\u00e9ggel\u00b2<\/td>\n<\/tr>\n<tr>\n<td>Hajl\u00edtott tengely<\/td>\n<td class=\"mono\">1\u00d7 + 2\u00d7<\/td>\n<td>Mindkett\u0151 magas<\/td>\n<td>Axi\u00e1lis + Radi\u00e1lis<\/td>\n<td>1\u00d7 f\u00e1zis 180\u00b0 a v\u00e9gek k\u00f6z\u00f6tt (axi\u00e1lis)<\/td>\n<td>Nagy axi\u00e1lis 1\u00d7; kiegyens\u00falyoz\u00e1ssal nem korrig\u00e1lhat\u00f3<\/td>\n<\/tr>\n<tr>\n<td>Sz\u00f6gelt\u00e9r\u00e9s<\/td>\n<td class=\"mono\">1\u00d7 (axi\u00e1lis)<\/td>\n<td>Nagy axi\u00e1lis 1\u00d7 a tengelykapcsol\u00f3n\u00e1l<\/td>\n<td>Axi\u00e1lis domin\u00e1ns<\/td>\n<td>180\u00b0 a tengelykapcsol\u00f3n \u00e1t (axi\u00e1lis)<\/td>\n<td>Axi\u00e1lis 1\u00d7 a tengelykapcsol\u00f3n\u00e1l &gt; radi\u00e1lis<\/td>\n<\/tr>\n<tr>\n<td>P\u00e1rhuzamos tengelybe\u00e1ll\u00edt\u00e1si hiba<\/td>\n<td class=\"mono\">2\u00d7 (radi\u00e1lis)<\/td>\n<td>2\u00d7 \u2248 vagy &gt; 1\u00d7; 3\u00d7 is megjelenhet<\/td>\n<td>Radi\u00e1lis domin\u00e1ns<\/td>\n<td>180\u00b0 a tengelykapcsol\u00f3n \u00e1t (radi\u00e1lis)<\/td>\n<td>A 2\u00d7-es ar\u00e1ny az 1\u00d7-eshez diagnosztikai \u00e9rt\u00e9k<\/td>\n<\/tr>\n<tr>\n<td>Lazas\u00e1g \u2013 szerkezeti (A t\u00edpus)<\/td>\n<td class=\"mono\">1\u00d7<\/td>\n<td>Ir\u00e1ny\u00edtott \u2014 laza ir\u00e1nyban magasabb<\/td>\n<td>Ir\u00e1ny<\/td>\n<td>Instabil; elv\u00e1ndorolhat<\/td>\n<td>Az amplit\u00fad\u00f3 v\u00e1ltoz\u00e1sa a csavarnyomat\u00e9kkal<\/td>\n<\/tr>\n<tr>\n<td>Lazas\u00e1g \u2013 forg\u00f3 (B t\u00edpus)<\/td>\n<td class=\"mono\">1\u00d7, 2\u00d7, 3\u00d7\u2026n\u00d7<\/td>\n<td>Gazdag harmonikus sorozat + \u00bd\u00d7<\/td>\n<td>Sug\u00e1rir\u00e1ny\u00fa<\/td>\n<td>Instabil; szesz\u00e9lyes<\/td>\n<td>A szubharmonikusok (\u00bd\u00d7, \u2153\u00d7) kulcsfontoss\u00e1g\u00fa megk\u00fcl\u00f6nb\u00f6ztet\u0151 t\u00e9nyez\u0151k<\/td>\n<\/tr>\n<tr>\n<td>Lazas\u00e1g \u2013 csap\u00e1gy\u00fcl\u00e9s (C t\u00edpus)<\/td>\n<td class=\"mono\">Sok felharmonikus + alharmonikus<\/td>\n<td>Padl\u00f3zaj-emelked\u00e9s sok cs\u00faccsal<\/td>\n<td>Sug\u00e1rir\u00e1ny\u00fa<\/td>\n<td>Nagyon instabil<\/td>\n<td>Sz\u00e9less\u00e1v\u00fa zajszint-emelked\u00e9s<\/td>\n<\/tr>\n<tr>\n<td>Puha l\u00e1b<\/td>\n<td class=\"mono\">1\u00d7 + 2\u00d7<\/td>\n<td>1\u00d7 v\u00e1ltozik a csavarok megh\u00faz\u00e1si nyomat\u00e9k\u00e1val<\/td>\n<td>Vertik\u00e1lis domin\u00e1ns<\/td>\n<td>V\u00e1lt\u00e1sok csavar megh\u00faz\u00e1ssal<\/td>\n<td>1\u00d7 amplit\u00fad\u00f3v\u00e1ltoz\u00e1s a csavarok egyenk\u00e9nti meglaz\u00edt\u00e1sakor<\/td>\n<\/tr>\n<tr>\n<td>Rotor d\u00f6rzs\u00f6l\u0151d\u00e9se (enyhe, r\u00e9szleges)<\/td>\n<td class=\"mono\">\u00bd\u00d7, 1\u00d7, 2\u00d7\u2026n\u00d7<\/td>\n<td>Sok magas rend\u0171 felharmonikus<\/td>\n<td>Sug\u00e1rir\u00e1ny\u00fa<\/td>\n<td>Szab\u00e1lytalan; h\u0151eltol\u00f3d\u00e1s<\/td>\n<td>\u00bd\u00d7 \u00e9s \u2153\u00d7 szubharmonikusok; termikus vektoreltol\u00f3d\u00e1s<\/td>\n<\/tr>\n<tr>\n<td>Rotor s\u00farl\u00f3d\u00e1sa (teljes gy\u0171r\u0171s)<\/td>\n<td class=\"mono\">\u00bd\u00d7, \u2153\u00d7, \u00bc\u00d7 domin\u00e1ns<\/td>\n<td>Szubharmonikusok &gt; 1\u00d7<\/td>\n<td>Sug\u00e1rir\u00e1ny\u00fa<\/td>\n<td>Kaotikus<\/td>\n<td>Szubszinkron dominancia; ford\u00edtott precesszi\u00f3<\/td>\n<\/tr>\n<tr>\n<td>Olaj\u00f6rv\u00e9ny<\/td>\n<td class=\"mono\">0,42\u20130,48\u00d7<\/td>\n<td>Szubszinkron cs\u00facs valamivel \u00bd\u00d7 alatt<\/td>\n<td>Sug\u00e1rir\u00e1ny\u00fa<\/td>\n<td>El\u0151re ir\u00e1nyul\u00f3 precesszi\u00f3<\/td>\n<td>Frekvencia ~0,43\u00d7 RPM-en k\u00f6veti; sebess\u00e9gf\u00fcgg\u0151<\/td>\n<\/tr>\n<tr>\n<td>Olaj\u00fct\u00e9s<\/td>\n<td class=\"mono\">\u2248 1. kritikus<\/td>\n<td>Az els\u0151 kritikus pontn\u00e1l z\u00e1rolva, a sebess\u00e9gt\u0151l f\u00fcggetlen\u00fcl<\/td>\n<td>Sug\u00e1rir\u00e1ny\u00fa<\/td>\n<td>El\u0151re ir\u00e1nyul\u00f3 precesszi\u00f3<\/td>\n<td>Frekvenciaz\u00e1rak; katasztrof\u00e1lisak, ha nem kezelik \u0151ket<\/td>\n<\/tr>\n<tr>\n<td>Fogasker\u00e9k-kapcsol\u00f3d\u00e1s<\/td>\n<td class=\"mono\">GMF, 2\u00d7GMF, 3\u00d7GMF<\/td>\n<td>GMF = # fog \u00d7 RPM + oldals\u00e1vok<\/td>\n<td>Radi\u00e1lis + Axi\u00e1lis<\/td>\n<td>N\/A (k\u00e9nyszer\u00edtett)<\/td>\n<td>A tengelysebess\u00e9gn\u00e9l m\u00e9rt oldals\u00e1vok azonos\u00edtj\u00e1k a s\u00e9r\u00fclt fogaskereket<\/td>\n<\/tr>\n<tr>\n<td>Penge\/lap\u00e1t \u00e1thalad\u00e1s<\/td>\n<td class=\"mono\">BPF, 2\u00d7BPF<\/td>\n<td>BPF = # penge \u00d7 RPM<\/td>\n<td>Radi\u00e1lis + Axi\u00e1lis<\/td>\n<td>N\/A (k\u00e9nyszer\u00edtett)<\/td>\n<td>Norm\u00e1lis; nagy amplit\u00fad\u00f3 = h\u00e9zag vagy rezonancia probl\u00e9ma<\/td>\n<\/tr>\n<tr>\n<td>Az \u00e1ll\u00f3r\u00e9sz excentricit\u00e1sa<\/td>\n<td class=\"mono\">2FL (100\/120 Hz)<\/td>\n<td>2\u00d7 vonali frekvencia domin\u00e1ns<\/td>\n<td>Sug\u00e1rir\u00e1ny\u00fa<\/td>\n<td>Nem alkalmazhat\u00f3<\/td>\n<td>\u00c1ramsz\u00fcnet eset\u00e9n azonnal elt\u0171nik<\/td>\n<\/tr>\n<tr>\n<td>Rotorr\u00fad hiba<\/td>\n<td class=\"mono\">1\u00d7 p\u00f3lus-\u00e1tereszt\u00e9si oldals\u00e1vokkal<\/td>\n<td>Oldals\u00e1vok cs\u00fasz\u00e1si frekvenci\u00e1n \u00d7 p\u00f3lusok<\/td>\n<td>Sug\u00e1rir\u00e1ny\u00fa<\/td>\n<td>Modul\u00e1lt<\/td>\n<td>Az 1\u00d7 k\u00f6r\u00fcli nagy\u00edt\u00e1s egyenletesen elosztott oldals\u00e1vokat mutat<\/td>\n<\/tr>\n<tr>\n<td>VFD-induk\u00e1lt<\/td>\n<td class=\"mono\">Kapcsol\u00e1si frekvenciaharmonikusok<\/td>\n<td>Nem szinkron cs\u00facsok PWM frekvenci\u00e1n<\/td>\n<td>Sug\u00e1rir\u00e1ny\u00fa<\/td>\n<td>Nem alkalmazhat\u00f3<\/td>\n<td>A frekvencia f\u00fcggetlen a tengelysebess\u00e9gt\u0151l<\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n<p>    <!-- SUB-HARMONIC TABLE --><\/p>\n<div class=\"table-wrap\">\n<div class=\"table-title\">\u3030\ufe0f Szubharmonikus \u00e9s t\u00f6rtharmonikus referencia<\/div>\n<table>\n<thead>\n<tr>\n<th>Frekvencia<\/th>\n<th>Kijel\u00f6l\u00e9s<\/th>\n<th>Gyakori okok<\/th>\n<th>S\u00falyoss\u00e1g<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"mono\">0,42\u20130,48\u00d7<\/td>\n<td>Olaj\u00f6rv\u00e9ny<\/td>\n<td>El\u00e9gtelen csap\u00e1gyterhel\u00e9s; t\u00falzott h\u00e9zag; k\u00f6nny\u0171 tengely<\/td>\n<td><span class=\"tag high\">Kritikus \u2013 olajver\u00e9st okozhat<\/span><\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">\u00bd\u00d7 (0,50\u00d7)<\/td>\n<td>F\u00e9lrend\u0171<\/td>\n<td>D\u00f6rzs\u00f6l\u0151d\u00e9s, lazas\u00e1g (B\/C t\u00edpus), repedt tengely (ritka), sz\u00edjjal kapcsolatos probl\u00e9m\u00e1k<\/td>\n<td><span class=\"tag high\">Jelent\u0151s \u2013 azonnal vizsg\u00e1lja ki<\/span><\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">\u2153\u00d7 (0,33\u00d7)<\/td>\n<td>Harmadrend\u0171 alegys\u00e9g<\/td>\n<td>Teljes gy\u0171r\u0171s d\u00f6rzs\u00f6l\u0151d\u00e9s; s\u00falyos lazas\u00e1g; folyad\u00e9k okozta instabilit\u00e1s<\/td>\n<td><span class=\"tag high\">S\u00falyos \u2013 vesz\u00e9lyes \u00e1llapot<\/span><\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">\u00bc\u00d7 (0,25\u00d7)<\/td>\n<td>Negyed rend (alharmonikus)<\/td>\n<td>Teljes d\u00f6rzs\u00f6l\u00e9s r\u00f6gz\u00edtett p\u00e1ly\u00e1val; extr\u00e9m lazas\u00e1g<\/td>\n<td><span class=\"tag high\">Nagyon s\u00falyos \u2013 le\u00e1ll\u00edt\u00e1sra lehet sz\u00fcks\u00e9g<\/span><\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">1,5\u00d7 (3\/2\u00d7)<\/td>\n<td>3\/2 rend<\/td>\n<td>Olaj\u00f6rv\u00e9nyl\u00e9s kiegyens\u00falyozatlans\u00e1ggal kombin\u00e1lva<\/td>\n<td><span class=\"tag medium\">Figyelje szorosan<\/span><\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">2,5\u00d7, 3,5\u00d7\u2026<\/td>\n<td>F\u00e9lrend\u0171 csal\u00e1d<\/td>\n<td>Lazas\u00e1g er\u0151s d\u00f6rzs\u00f6l\u0151 komponenssel<\/td>\n<td><span class=\"tag medium\">Kombin\u00e1lt hibamechanizmusok<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n<\/p><\/div>\n<\/section>\n<p><!-- MAIN ARTICLE CONTENT --><br \/>\n<main class=\"main-content\" id=\"definition\"><\/p>\n<div class=\"container\">\n<div class=\"content-layout\">\n<article class=\"article-content\">\n<h2>Defin\u00edci\u00f3: Mi a harmonikus?<\/h2>\n<p>A rezg\u00e9sanal\u00edzis sor\u00e1n egy <strong>harmonikus<\/strong> egy olyan frekvencia, amely az alapfrekvencia pontos eg\u00e9sz sz\u00e1m\u00fa t\u00f6bbsz\u00f6r\u00f6se. Forg\u00f3 g\u00e9pekben az alapfrekvencia jellemz\u0151en a tengely forg\u00e1si sebess\u00e9ge, amelyet els\u0151 harmonikusnak vagy <strong>1\u00d7<\/strong>. A k\u00f6vetkez\u0151 harmonikusok eg\u00e9sz sz\u00e1mok t\u00f6bbsz\u00f6r\u00f6sei: 2\u00d7 (a tengelysebess\u00e9g k\u00e9tszerese), 3\u00d7 (h\u00e1romszorosa) \u00e9s \u00edgy tov\u00e1bb. Ezeket a frekvenci\u00e1kat m\u00e1s n\u00e9ven <em>rendek<\/em> a fut\u00e1si sebess\u00e9gr\u0151l, vagy <em>szinkron harmonikusok<\/em> mert pontosan szinkroniz\u00e1lva vannak a tengely forg\u00e1s\u00e1val.<\/p>\n<p>P\u00e9ld\u00e1ul, ha egy motor 1800 ford\/perc fordulatsz\u00e1mon (30 Hz) m\u0171k\u00f6dik, a felharmonikusok 60 Hz (2\u00d7), 90 Hz (3\u00d7), 120 Hz (4\u00d7), 150 Hz (5\u00d7) \u00e9s \u00edgy tov\u00e1bb frekvenci\u00e1n jelennek meg. A felharmonikus sorozat elm\u00e9letileg v\u00e9gtelen, de a gyakorlatban az amplit\u00fad\u00f3 magasabb rendekben cs\u00f6kken, \u00e9s csak az els\u0151 n\u00e9h\u00e1ny felharmonikus hordoz diagnosztikai inform\u00e1ci\u00f3t.<\/p>\n<div class=\"formula-box\">\n<div class=\"formula-label\">Harmonikus frekvencia meghat\u00e1roz\u00e1sa<\/div>\n<div class=\"formula-main\">f<sub>n<\/sub> = n \u00d7 f<sub>1<\/sub> = n \u00d7 (fordulat\/perc \/ 60)<\/div>\n<div class=\"formula-note\">ahol n = 1, 2, 3, 4\u2026 (harmonikus rend) \u00e9s f\u2081 = a tengely forg\u00e1si frekvenci\u00e1ja Hz-ben<\/div>\n<\/p><\/div>\n<div class=\"info-box\">\n<div class=\"box-title\">Harmonikusok vs. szubharmonikusok vs. nem szinkron cs\u00facsok<\/div>\n<p><strong>Felharmonikusok<\/strong> a tengelysebess\u00e9g eg\u00e9sz sz\u00e1m\u00fa t\u00f6bbsz\u00f6r\u00f6sei (2\u00d7, 3\u00d7, 4\u00d7\u2026). <strong>Alharmonikusok<\/strong> t\u00f6rt t\u00f6bbsz\u00f6r\u00f6sei (\u00bd\u00d7, \u2153\u00d7, \u00bc\u00d7), \u00e9s mindig s\u00falyos mechanikai probl\u00e9m\u00e1kra utalnak. <strong>Nem szinkron cs\u00facsok<\/strong> olyan frekvenci\u00e1k, amelyek nem kapcsol\u00f3dnak a tengelysebess\u00e9ghez \u2014 p\u00e9ld\u00e1ul <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/bearing-fault-frequencies\/\">csap\u00e1gyhiba-frekvenci\u00e1k<\/a>, fogasker\u00e9k-kapcsol\u00e1si frekvenci\u00e1k, h\u00e1l\u00f3zati frekvencia (50\/60 Hz), vagy <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/natural-frequency\/\">saj\u00e1tfrekvenci\u00e1k<\/a> \u2014 \u00e9s elt\u00e9r\u0151 diagnosztikai megk\u00f6zel\u00edt\u00e9seket ig\u00e9nyelnek. A 3,57\u00d7 RPM-n\u00e9l m\u00e9rt cs\u00facs NEM harmonikus; val\u00f3sz\u00edn\u0171leg egy csap\u00e1gyhiba-frekvencia.<\/p>\n<\/p><\/div>\n<h2 id=\"why-generated\">Mi\u00e9rt keletkeznek harmonikusok?<\/h2>\n<p>Egy tiszta szinuszos er\u0151 \u00e1ltal gerjesztett t\u00f6k\u00e9letesen line\u00e1ris rendszerben (p\u00e9ld\u00e1ul egy t\u00f6k\u00e9letesen kiegyens\u00falyozott, t\u00f6k\u00e9letesen be\u00e1ll\u00edtott rotorban t\u00f6k\u00e9letes csap\u00e1gyakban) csak az 1\u00d7 alapharmonikus jelenne meg. A val\u00f3di g\u00e9pek soha nem t\u00f6k\u00e9letesen line\u00e1risak. A harmonikusok akkor jelennek meg, amikor a rezg\u00e9si hull\u00e1mforma torzul egy tiszta szinuszhull\u00e1mb\u00f3l \u2014 amikor a rendszer v\u00e1lasza <em>nemline\u00e1ris<\/em> vagy maga a k\u00e9nyszer\u00edt\u0151 f\u00fcggv\u00e9ny nem szinuszos.<\/p>\n<h3>A matematika: Fourier t\u00e9tele<\/h3>\n<p><strong>Fourier&#8217;s theorem<\/strong> kijelenti, hogy b\u00e1rmely periodikus hull\u00e1mforma \u2013 f\u00fcggetlen\u00fcl att\u00f3l, hogy mennyire \u00f6sszetett \u2013 felbonthat\u00f3 az alapfrekvenci\u00e1n l\u00e9v\u0151 szinuszhull\u00e1mok \u00e9s azok eg\u00e9sz sz\u00e1m\u00fa t\u00f6bbsz\u00f6r\u00f6seinek \u00f6sszeg\u00e9re, amelyek mindegyike meghat\u00e1rozott amplit\u00fad\u00f3val \u00e9s f\u00e1zissal rendelkezik. A rezg\u00e9sanaliz\u00e1torok \u00e1ltal haszn\u00e1lt FFT (gyors Fourier-transzform\u00e1ci\u00f3) algoritmus ezt a felbont\u00e1st sz\u00e1m\u00edt\u00f3g\u00e9pes \u00faton v\u00e9gzi el, felt\u00e1rva a jel harmonikus tartalm\u00e1t.<\/p>\n<p>Egy tiszta szinuszhull\u00e1mnak csak egyetlen frekvenciakomponense van. Egy n\u00e9gysz\u00f6ghull\u00e1m minden p\u00e1ratlan felharmonikust tartalmaz (1\u00d7, 3\u00d7, 5\u00d7, 7\u00d7\u2026), amelyek amplit\u00fad\u00f3ja 1\/n-nel cs\u00f6kken. Egy f\u0171r\u00e9szfoghull\u00e1m minden felharmonikust tartalmaz, amelyek amplit\u00fad\u00f3ja 1\/n-nel cs\u00f6kken. A torz\u00edt\u00e1s specifikus alakja hat\u00e1rozza meg, hogy mely felharmonikusok jelennek meg \u2013 ez teszi a harmonikus elemz\u00e9st olyan diagnosztikailag hat\u00e9konny\u00e1.<\/p>\n<h3>Harmonikusokat gener\u00e1l\u00f3 fizikai mechanizmusok<\/h3>\n<ul>\n<li><strong>Hull\u00e1mforma v\u00e1g\u00e1sa \/ csonkol\u00e1sa:<\/strong> Amikor a tengely mozg\u00e1s\u00e1t fizikailag korl\u00e1tozza (csap\u00e1gyh\u00e1z, s\u00farl\u00f3d\u00f3 \u00e9rintkez\u00e9s), a kapott hull\u00e1mforma lev\u00e1g\u00f3dik (clipping), felharmonikusokat gener\u00e1lva. Az er\u0151sebb lev\u00e1g\u00e1s t\u00f6bb felharmonikust eredm\u00e9nyez.<\/li>\n<li><strong>Aszimmetrikus merevs\u00e9g:<\/strong> Ha a rendszer merevs\u00e9ge elt\u00e9r a rezg\u00e9si ciklus pozit\u00edv \u00e9s negat\u00edv fele k\u00f6z\u00f6tt (a repedt tengely ny\u00edl\u00e1sa\/z\u00e1r\u00f3d\u00e1sa, elt\u00e9r\u0151 h\u00faz\u00f3-\/nyom\u00f3merevs\u00e9get eredm\u00e9nyez\u0151 tengelyelt\u00e9r\u00e9s), akkor p\u00e1ros felharmonikusok (2\u00d7, 4\u00d7, 6\u00d7) keletkeznek.<\/li>\n<li><strong>\u00dct\u00e9si esem\u00e9nyek:<\/strong> A periodikus \u00fct\u00e9sek (laza csavarok, csap\u00e1gyhiba okozta \u00fct\u00e9sek) \u00e9les, r\u00f6vid id\u0151tartam\u00fa hull\u00e1mform\u00e1kat hoznak l\u00e9tre, amelyek rendk\u00edv\u00fcl gazdagok harmonikus tartalomban \u2013 hasonl\u00f3an ahhoz, ahogy egy dobver\u0151 sok felhangot produk\u00e1l.<\/li>\n<li><strong>Nemline\u00e1ris helyre\u00e1ll\u00edt\u00f3 er\u0151k:<\/strong> Amikor a merevs\u00e9g az elmozdul\u00e1ssal egy\u00fctt v\u00e1ltozik (v\u00e1ltoz\u00f3 terhel\u00e9s alatt \u00e1ll\u00f3 csap\u00e1gyak, progressz\u00edv rug\u00f3jellemz\u0151j\u0171 gumibakok), a szinuszos er\u0151re adott v\u00e1lasz harmonikusokat tartalmaz.<\/li>\n<li><strong>Param\u00e9teres gerjeszt\u00e9s:<\/strong> Amikor a rendszer tulajdons\u00e1gai periodikusan v\u00e1ltoznak a tengelysebess\u00e9ggel \u00f6sszef\u00fcgg\u0151 frekvenci\u00e1n, felharmonikusokat \u00e9s szubharmonikusokat gener\u00e1lhatnak a gerjeszt\u00e9si frekvenci\u00e1n.<\/li>\n<\/ul>\n<div class=\"info-box success\">\n<div class=\"box-title\">A kulcsfontoss\u00e1g\u00fa diagnosztikai elv<\/div>\n<p>A jelenl\u00e9v\u0151 harmonikusok mint\u00e1zata, azok relat\u00edv amplit\u00fad\u00f3ja \u00e9s hi\u00e1nya megmondja az elemz\u0151nek, hogy milyen fizikai mechanizmus gener\u00e1lja a nemlinearit\u00e1st. A tapasztalt elemz\u0151k a spektrum teljes harmonikus szerkezet\u00e9t vizsg\u00e1lj\u00e1k \u2013 nem csak az \u00e1ltal\u00e1nos rezg\u00e9si szintet \u2013, hogy azonos\u00edts\u00e1k a specifikus hibamechanizmusokat.<\/p>\n<\/p><\/div>\n<h2 id=\"fault-signatures\">R\u00e9szletes hibajellemz\u0151k \u2013 harmonikus mint\u00e1zatok<\/h2>\n<h3>1\u00d7 Domin\u00e1ns \u2014 Kiegyens\u00falyozatlans\u00e1g<\/h3>\n<p>Az 1\u00d7-es domin\u00e1ns cs\u00facs minim\u00e1lis magasabb felharmonikusokkal a klasszikus jellemz\u0151je <strong><a href=\"https:\/\/vibromera.eu\/hu\/glossary\/unbalance\/\">t\u00f6meg-egyens\u00falyhi\u00e1ny<\/a><\/strong>. A kiegyens\u00falyozatlans\u00e1gi er\u0151 eredend\u0151en szinuszos (1\u00d7 frekvenci\u00e1n forog a tengellyel), \u00edgy egyetlen tiszta cs\u00facsot hoz l\u00e9tre a frekvenciatartom\u00e1nyban.<\/p>\n<h4>Diagnosztikai r\u00e9szletek<\/h4>\n<ul>\n<li><strong>Amplit\u00fad\u00f3:<\/strong> Ar\u00e1nyos a sebess\u00e9ggel\u00b2 (dupla sebess\u00e9g \u2192 4\u00d7 amplit\u00fad\u00f3) \u00e9s ar\u00e1nyos az egyens\u00falytalans\u00e1gi t\u00f6meggel<\/li>\n<li><strong>F\u00e1zis:<\/strong> Stabil, megism\u00e9telhet\u0151, egyedi \u00e9rt\u00e9k\u0171. El\u0151re l\u00e1that\u00f3an v\u00e1ltozik a pr\u00f3bas\u00faly hozz\u00e1ad\u00e1s\u00e1val \u2013 ez az \u00f6sszes alapja. <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/kiegyensulyozas\/\">kiegyens\u00falyoz\u00e1si elj\u00e1r\u00e1sok<\/a><\/li>\n<li><strong>Ir\u00e1ny:<\/strong> Els\u0151sorban radi\u00e1lis; az axi\u00e1lis 1\u00d7 alacsony, kiv\u00e9ve, ha a rotornak jelent\u0151s t\u00falny\u00fal\u00e1sa van.<\/li>\n<li><strong>Meger\u0151s\u00edt\u00e9s:<\/strong> A pr\u00f3bas\u00falyokra adott v\u00e1lasz meger\u0151s\u00edti az kiegyens\u00falyozatlans\u00e1got. Ha 1\u00d7 nem reag\u00e1l a pr\u00f3bas\u00falyokra, vegye figyelembe a tengely g\u00f6rb\u00fcl\u00e9s\u00e9t, az excentricit\u00e1st vagy a rezonanci\u00e1t.<\/li>\n<\/ul>\n<div class=\"info-box warning\">\n<div class=\"box-title\">Nem minden 1\u00d7 rezg\u00e9s kiegyens\u00falyozatlans\u00e1g<\/div>\n<p>Sz\u00e1mos k\u00f6r\u00fclm\u00e9ny okozhat magas 1\u00d7 amplit\u00fad\u00f3t, amely NEM korrig\u00e1lhat\u00f3 kiegyens\u00falyoz\u00e1ssal: g\u00f6rb\u00fclt tengely, tengely excentricit\u00e1sa, elektromos \u00fct\u00e9s a k\u00f6zels\u00e9gm\u00e9r\u0151 szond\u00e1kon, rotor g\u00f6rb\u00fcl\u00e9se h\u0151hat\u00e1sok miatt, tengelykapcsol\u00f3 excentricit\u00e1sa \u00e9s <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/resonance\/\">rezonancia<\/a> er\u0151s\u00edt\u00e9s. A kiegyens\u00falyoz\u00e1s megk\u00eds\u00e9rl\u00e9se el\u0151tt mindig ellen\u0151rizze a diagn\u00f3zist.<\/p>\n<\/p><\/div>\n<h3>2\u00d7 Domin\u00e1ns \u2014 Tengelyelt\u00e9r\u00e9s<\/h3>\n<p>Egy er\u0151s m\u00e1sodik harmonikus, amelynek amplit\u00fad\u00f3ja gyakran \u00f6sszehasonl\u00edthat\u00f3 az 1\u00d7-es cs\u00faccsal, vagy meghaladja azt, a k\u00f6vetkez\u0151 f\u0151 mutat\u00f3ja: <strong><a href=\"https:\/\/vibromera.eu\/hu\/glossary\/misalignment\/\">tengelyelt\u00e9r\u00e9s<\/a><\/strong>. A tengelyelt\u00e9r\u00e9s minden fordulat sor\u00e1n nem szinuszos p\u00e1ly\u00e1n k\u00e9nyszer\u00edti a tengelyt, ami torz\u00edt\u00e1st hoz l\u00e9tre, ami k\u00e9tszeres, vagy n\u00e9ha magasabb felharmonikusokat gener\u00e1l.<\/p>\n<h4>Sz\u00f6gbeli \u00e9s p\u00e1rhuzamos elt\u00e9r\u00e9s<\/h4>\n<ul>\n<li><strong>Sz\u00f6gelt\u00e9r\u00e9s:<\/strong> A tengelyek k\u00f6z\u00e9pvonalai sz\u00f6get z\u00e1rnak be a csatlakoz\u00f3n\u00e1l. Nagy, 1\u00d7-es axi\u00e1lis rezg\u00e9st hoz l\u00e9tre. A csatlakoz\u00f3n \u00e1t\u00edvel\u0151 f\u00e1zis ~180\u00b0-os axi\u00e1lis ir\u00e1ny\u00fa eltol\u00f3d\u00e1st mutat.<\/li>\n<li><strong>P\u00e1rhuzamos (eltol\u00e1sos) be\u00e1ll\u00edt\u00e1si elt\u00e9r\u00e9s:<\/strong> A tengelyek k\u00f6z\u00e9pvonalai p\u00e1rhuzamosak, de eltoltak. Nagy, 2\u00d7-es radi\u00e1lis rezg\u00e9st hoz l\u00e9tre, gyakran 2\u00d7 \u2265 1\u00d7-es \u00e9rt\u00e9kkel. S\u00falyos esetekben 3\u00d7 \u00e9s 4\u00d7-es rezg\u00e9s is keletkezik. A tengelykapcsol\u00f3 radi\u00e1lis f\u00e1zisa ~180\u00b0-os eltol\u00f3d\u00e1st mutat.<\/li>\n<li><strong>Kombin\u00e1lt:<\/strong> A gyakorlatban mindkett\u0151 \u00e1ltal\u00e1ban egy\u00fctt van jelen, a mint\u00e1zatok kever\u00e9k\u00e9t hozva l\u00e9tre.<\/li>\n<\/ul>\n<h4>A 2\u00d7\/1\u00d7 ar\u00e1ny diagnosztikai indik\u00e1tork\u00e9nt<\/h4>\n<table class=\"article-table\">\n<thead>\n<tr>\n<th>2\u00d7\/1\u00d7 ar\u00e1ny<\/th>\n<th>Val\u00f3sz\u00edn\u0171 \u00e1llapot<\/th>\n<th>Int\u00e9zked\u00e9s<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"mono\">&lt; 0,25<\/td>\n<td>Norm\u00e1lis; 2\u00d7 alacsony szinten jelen van a legt\u00f6bb g\u00e9pben<\/td>\n<td>Nincs sz\u00fcks\u00e9g int\u00e9zked\u00e9sre<\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">0,25 \u2013 0,50<\/td>\n<td>Enyhe illeszt\u00e9si elt\u00e9r\u00e9s lehets\u00e9ges; egyes tengelykapcsol\u00f3-t\u00edpusokn\u00e1l norm\u00e1lis<\/td>\n<td>Ellen\u0151rizze az igaz\u00edt\u00e1st; hasonl\u00edtsa \u00f6ssze az alapvonallal<\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">0,50 \u2013 1,00<\/td>\n<td>Jelent\u0151s elt\u00e9r\u00e9s val\u00f3sz\u00edn\u0171<\/td>\n<td>Prec\u00edzi\u00f3s l\u00e9zeres igaz\u00edt\u00e1s elv\u00e9gz\u00e9se<\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">&gt; 1,00<\/td>\n<td>S\u00falyos be\u00e1ll\u00edt\u00e1si hiba; 2\u00d7 meghaladja az 1\u00d7-et<\/td>\n<td>S\u00fcrg\u0151s \u2013 igaz\u00edtsa \u00fajra; ellen\u0151rizze a tengelykapcsol\u00f3t \u00e9s a cs\u0151 feszess\u00e9g\u00e9t<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>T\u00f6bbsz\u00f6r\u00f6s felharmonikusok \u2014 Mechanikai lazas\u00e1g<\/h3>\n<p>A k\u00f6vetkez\u0151k gazdag sora: <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/running-speed\/\">\u00fczemi fordulatsz\u00e1m<\/a> harmonics (1\u00d7, 2\u00d7, 3\u00d7, 4\u00d7, 5\u00d7\u2026 to 10\u00d7 or more) indicate <strong>mechanikai lazas\u00e1g<\/strong>. Az \u00fct\u00e9sek, a cs\u00f6rg\u00e9sek \u00e9s a nemline\u00e1ris \u00e9rintkez\u00e9si\/elv\u00e1laszt\u00e1si ciklusok extr\u00e9m hull\u00e1mforma-torzul\u00e1st gener\u00e1lnak, amely sz\u00e1mos harmonikus komponensre bomlik.<\/p>\n<h4>A lazas\u00e1g h\u00e1rom t\u00edpusa<\/h4>\n<ul>\n<li><strong>A t\u00edpus \u2013 Szerkezeti:<\/strong> Laza g\u00e9p-alap r\u00f6gz\u00edt\u00e9s (puha talp, repedt alap, laza horgonycsavarok). Ir\u00e1ny\u00edtott 1\u00d7-es rezg\u00e9st eredm\u00e9nyez (a laza ir\u00e1nyban nagyobb). F\u0151 teszt: az egyes csavarok megh\u00faz\u00e1sa\/laz\u00edt\u00e1sa az 1\u00d7-es amplit\u00fad\u00f3 figyel\u00e9se k\u00f6zben.<\/li>\n<li><strong>B t\u00edpus \u2013 Alkatr\u00e9sz:<\/strong> Laza csap\u00e1gybet\u00e9t a fed\u00e9lben, laza fed\u00e9l a h\u00e1zon, t\u00falzott csap\u00e1gyh\u00e9zag. Harmonikusok sorozat\u00e1t hozza l\u00e9tre, gyakran alharmonikusokkal (\u00bd\u00d7). Az alharmonikusok a f\u0151 megk\u00fcl\u00f6nb\u00f6ztet\u0151 jegyek a tengelyelt\u00e9r\u00e9ssel szemben (az alharmonikusokat a meglazul\u00e1s, nem a tengelyelt\u00e9r\u00e9s hozza l\u00e9tre).<\/li>\n<li><strong>C t\u00edpus \u2014 Csap\u00e1gy\u00fcl\u00e9s:<\/strong> Laza j\u00e1r\u00f3ker\u00e9k a tengelyen, laza tengelykapcsol\u00f3 agy, t\u00falzott csap\u00e1gyh\u00e9zag, ami miatt a rotor pattog. Sok felharmonikust hoz l\u00e9tre sz\u00e9less\u00e1v\u00fa zajszint-emelked\u00e9ssel.<\/li>\n<\/ul>\n<div class=\"info-box\">\n<div class=\"box-title\">Szubharmonikusok: A lazas\u00e1g ujjlenyomata<\/div>\n<p>A szubharmonikusok (\u00bd\u00d7, \u2153\u00d7) jelenl\u00e9te a legmegb\u00edzhat\u00f3bb k\u00fcl\u00f6nbs\u00e9g a lazas\u00e1g \u00e9s a tengelyeltol\u00e1s k\u00f6z\u00f6tt. A tengelyeltol\u00e1s 2\u00d7 \u00e9s 3\u00d7 felhangot gener\u00e1l, de ritk\u00e1n hoz l\u00e9tre szubharmonikusokat. A lazas\u00e1g (B \u00e9s C t\u00edpus) jellemz\u0151en \u00bd\u00d7 felhangot gener\u00e1l, mivel a rotor az egyik f\u00e9lfordulatn\u00e1l a csap\u00e1gy egyik oldal\u00e1hoz \u00e9r, a k\u00f6vetkez\u0151n\u00e9l pedig a m\u00e1sikhoz pattan \u2013 egy olyan mint\u00e1zatot hozva l\u00e9tre, amely k\u00e9tfordulatonk\u00e9nt ism\u00e9tl\u0151dik, teh\u00e1t \u00bd\u00d7.<\/p>\n<\/p><\/div>\n<h3>Egy\u00e9b harmonikus gener\u00e1l\u00f3 felt\u00e9telek<\/h3>\n<h4>Hajl\u00edtott tengely<\/h4>\n<p>Mind 1\u00d7, mind 2\u00d7 rezg\u00e9st kelt magas axi\u00e1lis \u00f6sszetev\u0151vel. A be\u00e1ll\u00edt\u00e1si hib\u00e1val ellent\u00e9tben egy <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/bent-shaft\/\">hajl\u00edtott tengely<\/a> olyan 1\u00d7 \u00f6sszetev\u0151t mutat, amely kiegyens\u00falyoz\u00e1ssal nem korrig\u00e1lhat\u00f3 (geometriai excentricit\u00e1s, nem t\u00f6megeloszl\u00e1s), valamint ~180\u00b0-os axi\u00e1lis f\u00e1zisk\u00fcl\u00f6nbs\u00e9get a tengelyv\u00e9gek k\u00f6z\u00f6tt. A 2\u00d7 az aszimmetrikus merevs\u00e9gb\u0151l ered, ahogy a hajlat a forg\u00e1s sor\u00e1n ny\u00edlik \u00e9s z\u00e1r\u00f3dik.<\/p>\n<h4>Dugatty\u00fas g\u00e9pek<\/h4>\n<p>A motorok, kompresszorok \u00e9s dugatty\u00fas g\u00e9pek term\u00e9szet\u00fckn\u00e9l fogva gazdag harmonikus spektrumot gener\u00e1lnak, mivel a dugatty\u00fa\/f\u0151tengely mozg\u00e1sa alapvet\u0151en nem szinuszos. A harmonikus minta a hengerek sz\u00e1m\u00e1t\u00f3l, a gy\u00fajt\u00e1si sorrendt\u0151l \u00e9s a l\u00f6ket t\u00edpus\u00e1t\u00f3l (2 \u00fctem\u0171 vs. 4 \u00fctem\u0171) f\u00fcgg.<\/p>\n<h4>Rotor d\u00f6rzs\u00f6l\u00e9s<\/h4>\n<p>Egy r\u00e9szleges d\u00f6rzs\u00f6l\u00e9s (minden fordulat egy r\u00e9sz\u00e9ben t\u00f6rt\u00e9n\u0151 \u00e9rintkez\u00e9s) sz\u00e1mos magasabb rend\u0171 felharmonikust hoz l\u00e9tre \u2013 n\u00e9ha 10\u00d7, 20\u00d7 vagy t\u00f6bbet. Egy teljes gy\u0171r\u0171s d\u00f6rzs\u00f6l\u00e9s (folyamatos 360\u00b0-os \u00e9rintkez\u00e9s) domin\u00e1ns szubharmonikusokat (\u00bd\u00d7, \u2153\u00d7, \u00bc\u00d7) gener\u00e1l ford\u00edtott precesszi\u00f3s mechanizmusokon kereszt\u00fcl.<\/p>\n<h4>Elektromos probl\u00e9m\u00e1k a motorokban<\/h4>\n<p>A v\u00e1ltakoz\u00f3 \u00e1ram\u00fa motorok a tengelysebess\u00e9gt\u0151l f\u00fcggetlen\u00fcl a h\u00e1l\u00f3zati frekvencia t\u00f6bbsz\u00f6r\u00f6s\u00e9n (50 vagy 60 Hz) keltenek rezg\u00e9st. A leggyakoribb a h\u00e1l\u00f3zati frekvencia k\u00e9tszerese (100 Hz 50 Hz-es rendszerekben, 120 Hz 60 Hz-es rendszerekben). Ez NEM a tengelysebess\u00e9g felharmonikusa, hanem a h\u00e1l\u00f3zati frekvencia felharmonikusa, amely kulcsfontoss\u00e1g\u00fa a villamos \u00e9s a mechanikai rezg\u00e9s megk\u00fcl\u00f6nb\u00f6ztet\u00e9s\u00e9hez. A <strong>\u00e1ramkimarad\u00e1s teszt<\/strong> meghat\u00e1roz\u00f3: az elektromos rezg\u00e9s azonnal megsz\u0171nik a t\u00e1pell\u00e1t\u00e1s kikapcsol\u00e1sakor, a mechanikai rezg\u00e9s a kifut\u00e1s sor\u00e1n is megmarad.<\/p>\n<p>A rotorr\u00fad-hib\u00e1k oldals\u00e1vokat hoznak l\u00e9tre az 1\u00d7 k\u00f6r\u00fcl, a p\u00f3luselhalad\u00e1si frekvencia t\u00e1vols\u00e1g\u00e1ban (<a href=\"https:\/\/vibromera.eu\/hu\/glossary\/slip-frequency\/\">cs\u00fasz\u00e1si frekvencia<\/a> \u00d7 a p\u00f3lusok sz\u00e1ma). Ezek az oldals\u00e1vok nagyon k\u00f6zel vannak az 1\u00d7-hez (1\u20135 Hz-en bel\u00fcl), ez\u00e9rt nagy felbont\u00e1st ig\u00e9nyel a <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/zoom-fft\/\">zoom FFT<\/a> elemz\u00e9st ig\u00e9nyel a felold\u00e1shoz.<\/p>\n<h2 id=\"non-synchronous\">Nem szinkron frekvenci\u00e1k \u2014 Nem val\u00f3di harmonikusok<\/h2>\n<p>Sz\u00e1mos fontos frekvenci\u00e1t n\u00e9ha \u00f6sszekevernek a harmonikusokkal, pedig val\u00f3j\u00e1ban f\u00fcggetlenek a tengelysebess\u00e9gt\u0151l:<\/p>\n<table class=\"article-table\">\n<thead>\n<tr>\n<th>Frekvencia t\u00edpusa<\/th>\n<th>K\u00e9plet<\/th>\n<th>Kapcsolat az RPM-mel<\/th>\n<th>Megjegyz\u00e9sek<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Csap\u00e1gyhiba-frekvenci\u00e1k<\/td>\n<td class=\"mono\"><a href=\"https:\/\/vibromera.eu\/hu\/calculators\/bearing-defect-frequencies\/\">BPFO, BPFI, BSF, FTF<\/a><\/td>\n<td>Nem eg\u00e9sz t\u00f6bbsz\u00f6r\u00f6s\u00f6k (pl. 3,57\u00d7, 5,43\u00d7)<\/td>\n<td>Mindig nem szinkron; a csap\u00e1gygeometri\u00e1t\u00f3l f\u00fcgg<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/vibromera.eu\/hu\/glossary\/gear-mesh-frequency\/\">Fogasker\u00e9k-kapcsol\u00e1si frekvencia<\/a><\/td>\n<td class=\"mono\">GMF = # fog \u00d7 RPM<\/td>\n<td>Eg\u00e9sz sz\u00e1m, de nagyon magas rend\u0171<\/td>\n<td>Technikailag harmonikus, de k\u00fcl\u00f6n elemezve<\/td>\n<\/tr>\n<tr>\n<td>Penge\/lap\u00e1t \u00e1thalad\u00e1s<\/td>\n<td class=\"mono\">BPF = # penge \u00d7 RPM<\/td>\n<td>Eg\u00e9sz sz\u00e1m\u00fa t\u00f6bbsz\u00f6r\u00f6s<\/td>\n<td>Norm\u00e1lis; a t\u00falzott amplit\u00fad\u00f3 probl\u00e9m\u00e1t jelez<\/td>\n<\/tr>\n<tr>\n<td>Vonalfrekvencia<\/td>\n<td class=\"mono\">FL = 50 vagy 60 Hz<\/td>\n<td>Nem kapcsol\u00f3dik az RPM-hez<\/td>\n<td>Elektromos; \u00e1ramsz\u00fcnet eset\u00e9n elt\u0171nik<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/vibromera.eu\/hu\/glossary\/natural-frequency\/\">Saj\u00e1tfrekvenci\u00e1k<\/a><\/td>\n<td class=\"mono\">f<sub>n<\/sub> = \u221a(k\/m)\/2\u03c0<\/td>\n<td>R\u00f6gz\u00edtett; nem kapcsol\u00f3dik az RPM-hez<\/td>\n<td>\u00c1lland\u00f3 frekvencia a sebess\u00e9gv\u00e1ltoz\u00e1sokt\u00f3l f\u00fcggetlen\u00fcl<\/td>\n<\/tr>\n<tr>\n<td>Sz\u00edjfrekvenci\u00e1k<\/td>\n<td class=\"mono\">f<sub>sz\u00edj<\/sub> = RPM\u00d7\u03c0\u00d7D\/L<\/td>\n<td>Szinkron alatti (&lt; tengelyfordulatsz\u00e1m)<\/td>\n<td>Sz\u00edjfrekvencia \u00e9s felharmonikusai 2\u00d7, 3\u00d7, 4\u00d7 BF<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"analysis-guide\">Elemz\u00e9si \u00fatmutat\u00f3 \u2013 Harmonikus mint\u00e1zatok \u00e9rtelmez\u00e9se<\/h2>\n<h3>1. l\u00e9p\u00e9s: Azonos\u00edtsa az alapfrekvenci\u00e1t (1\u00d7)<\/h3>\n<p>Keresse meg a tengely forg\u00e1si fordulatsz\u00e1m\u00e1nak megfelel\u0151 1\u00d7 cs\u00facsot. Ellen\u0151rizze a k\u00f6vetkez\u0151vel: <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/tachometer\/\">fordulatsz\u00e1mm\u00e9r\u0151<\/a> vagy a motor adatt\u00e1bl\u00e1ja alapj\u00e1n. V\u00e1ltoz\u00f3 fordulatsz\u00e1m\u00fa g\u00e9pekn\u00e9l az 1\u00d7-et minden m\u00e9r\u00e9shez pontosan kell azonos\u00edtani.<\/p>\n<h3>2. l\u00e9p\u00e9s: Minden cs\u00facs katalogiz\u00e1l\u00e1sa<\/h3>\n<p>Minden egyes szignifik\u00e1ns cs\u00facsra hat\u00e1rozza meg: az 1\u00d7 pontos eg\u00e9sz t\u00f6bbsz\u00f6r\u00f6se (val\u00f3di harmonikus)? T\u00f6rt t\u00f6bbsz\u00f6r\u00f6se (szubharmonikus)? Nincs \u00f6sszef\u00fcgg\u00e9sben a tengelysebess\u00e9ggel (nem szinkron)? Haszn\u00e1lja az analiz\u00e1tor harmonikus kurzor funkci\u00f3it a hat\u00e9konys\u00e1g \u00e9rdek\u00e9ben.<\/p>\n<h3>3. l\u00e9p\u00e9s: Vizsg\u00e1lja meg az amplit\u00fad\u00f3mint\u00e1zatot<\/h3>\n<ul>\n<li>Melyik felharmonikus a domin\u00e1ns? \u2192 Egy adott hib\u00e1ra mutat<\/li>\n<li>H\u00e1ny felharmonikus van jelen? \u2192 T\u00f6bb = s\u00falyosabb torz\u00edt\u00e1s<\/li>\n<li>A 2\u00d7 nagyobb, mint az 1\u00d7? \u2192 Val\u00f3sz\u00edn\u0171leg tengelyelt\u00e9r\u00e9s (hib\u00e1s tengelybe\u00e1ll\u00edt\u00e1s).<\/li>\n<li>Jelen vannak szubharmonikusok? \u2192 Lazas\u00e1g, s\u00farl\u00f3d\u00e1s vagy <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/oil-whirl\/\">olaj\u00f6rv\u00e9ny<\/a><\/li>\n<li>Az amplit\u00fad\u00f3 cs\u00f6kken a renddel (1\/n lecseng\u00e9s)? \u2192 A lazas\u00e1gra jellemz\u0151<\/li>\n<\/ul>\n<h3>4. l\u00e9p\u00e9s: Ir\u00e1nyults\u00e1g ellen\u0151rz\u00e9se<\/h3>\n<ul>\n<li><strong>Nagy radi\u00e1lis, alacsony axi\u00e1lis:<\/strong> Kiegyens\u00falyozatlans\u00e1g vagy lazas\u00e1g<\/li>\n<li><strong>Nagy axi\u00e1lis:<\/strong> Tengelyelt\u00e9r\u00e9s (k\u00fcl\u00f6n\u00f6sen sz\u00f6gir\u00e1ny\u00fa) vagy g\u00f6rb\u00fclt tengely<\/li>\n<li><strong>Ir\u00e1nyf\u00fcgg\u0151 radi\u00e1lis:<\/strong> Szerkezeti lazas\u00e1g (laza ir\u00e1nyban nagyobb)<\/li>\n<\/ul>\n<h3>5. l\u00e9p\u00e9s: Id\u0151beli trend<\/h3>\n<ul>\n<li>N\u0151nek a harmonikus amplit\u00fad\u00f3k? \u2192 A hiba el\u0151rehalad<\/li>\n<li>\u00daj felharmonikusok jelennek meg? \u2192 \u00daj hibamechanizmus alakul ki<\/li>\n<li>Emelkedik a zajszint? \u2192 \u00c1ltal\u00e1nos kop\u00e1s vagy k\u00e9s\u0151i st\u00e1dium\u00fa meghib\u00e1sod\u00e1s<\/li>\n<\/ul>\n<h3>6. l\u00e9p\u00e9s: Korrel\u00e1ci\u00f3 a f\u00e1zisadatokkal<\/h3>\n<ul>\n<li><strong>Kiegyens\u00falyozatlans\u00e1g:<\/strong> Az 1\u00d7 f\u00e1zis stabil \u00e9s megism\u00e9telhet\u0151<\/li>\n<li><strong>Eltol\u00f3d\u00e1s:<\/strong> Az 1\u00d7 vagy 2\u00d7 f\u00e1zis ~180\u00b0-os elt\u00e9r\u00e9st mutat a tengelykapcsol\u00f3n kereszt\u00fcl<\/li>\n<li><strong>Lazas\u00e1g:<\/strong> A f\u00e1zis instabil, v\u00e9letlenszer\u0171en eltol\u00f3dhat a m\u00e9r\u00e9sek k\u00f6z\u00f6tt<\/li>\n<\/ul>\n<p>A gyakorlatban mind a hat l\u00e9p\u00e9s elv\u00e9gezhet\u0151 a helysz\u00ednen egy hordozhat\u00f3, k\u00e9tcsatorn\u00e1s m\u0171szerrel, mint amilyen a <a href=\"https:\/\/vibromera.eu\/hu\/termek\/balanset-1\/\">Balanset-1A<\/a>: szerelje fel a gyorsul\u00e1s\u00e9rz\u00e9kel\u0151ket, r\u00f6gz\u00edtse a spektrumot \u00e9s az 1\u00d7 f\u00e1zist a g\u00e9p m\u0171k\u00f6d\u00e9se k\u00f6zben, majd olvassa le a harmonikus mint\u00e1zatot k\u00f6zvetlen\u00fcl a fenti diagnosztikai t\u00e1bl\u00e1zat alapj\u00e1n \u2014 ezut\u00e1n a rotor elt\u00e1vol\u00edt\u00e1sa n\u00e9lk\u00fcl korrig\u00e1lja a marad\u00e9k kiegyens\u00falyozatlans\u00e1got.<\/p>\n<h2 id=\"case-studies\">Esettanulm\u00e1nyok \u2013 Val\u00f3s harmonikus anal\u00edzis<\/h2>\n<div class=\"example-block\">\n<div class=\"example-title\">1. eset: Motor-szivatty\u00fa \u2013 Kiegyens\u00falyozatlans\u00e1g vagy be\u00e1ll\u00edt\u00e1si hiba van?<\/div>\n<p><strong>G\u00e9p:<\/strong> 30 kW-os motor hajtja a centrifug\u00e1lszivatty\u00fat 2960 ford\/perc fordulatsz\u00e1mmal rugalmas tengelykapcsol\u00f3n kereszt\u00fcl. Teljes rezg\u00e9s: 6,2 mm\/s a motor hajt\u00e1soldali csap\u00e1gy\u00e1n\u00e1l.<\/p>\n<p><strong>Spektrum:<\/strong> 1\u00d7 = 4,1 mm\/s, 2\u00d7 = 3,8 mm\/s, 3\u00d7 = 1,2 mm\/s. A 2\u00d7\/1\u00d7 ar\u00e1ny = 0,93.<\/p>\n<p><strong>Ir\u00e1ny:<\/strong> Nagy radi\u00e1lis 2\u00d7 mindk\u00e9t hajt\u00e1soldali csap\u00e1gyn\u00e1l. Axi\u00e1lis 1\u00d7 a tengelykapcsol\u00f3n\u00e1l: motor = 2,8 mm\/s, szivatty\u00fa = 3,1 mm\/s 165\u00b0-os f\u00e1zisk\u00fcl\u00f6nbs\u00e9ggel.<\/p>\n<p><strong>Diagn\u00f3zis:<\/strong> Kombin\u00e1lt sz\u00f6g- \u00e9s p\u00e1rhuzamos tengelyel\u00e1ll\u00e1s. A 2\u00d7\/1\u00d7 ar\u00e1ny 1,0-hez k\u00f6zel\u00edt, az axi\u00e1lis \u00e9rt\u00e9kek magasak, \u00e9s a ~180\u00b0-os f\u00e1zis a tengelykapcsol\u00f3n kereszt\u00fcl \u2013 mindez meger\u0151s\u00edti a diagn\u00f3zist. NEM egyens\u00falyhi\u00e1ny \u2013 b\u00e1r az 1\u00d7 megemelkedett, a 2\u00d7-es minta az igazi ok.<\/p>\n<p><strong>Akci\u00f3:<\/strong> L\u00e9zeres tengelybe\u00e1ll\u00edt\u00e1s elv\u00e9gezve. Ut\u00f3be\u00e1ll\u00edt\u00e1s: 1\u00d7 = 0,8 mm\/s, 2\u00d7 = 0,3 mm\/s. \u00d6sszess\u00e9g\u00e9ben 1,1 mm\/s-ra cs\u00f6kkent \u2013 82%-os cs\u00f6kkent\u00e9s.<\/p>\n<\/p><\/div>\n<div class=\"example-block\">\n<div class=\"example-title\">2. eset: Ventil\u00e1tor \u2014 Mi\u00e9rt nem m\u0171k\u00f6dik a kiegyens\u00falyoz\u00e1s?<\/div>\n<p><strong>G\u00e9p:<\/strong> Centrifug\u00e1lis ventil\u00e1tor 1480 ford\/perc sebess\u00e9ggel. Rezg\u00e9s: 8,5 mm\/s. Az el\u0151z\u0151 kiegyens\u00falyoz\u00e1si k\u00eds\u00e9rlet cs\u00f6kkentette az 1\u00d7 komponenst, de az \u00f6sszrezg\u00e9s magas maradt.<\/p>\n<p><strong>Spektrum:<\/strong> 1\u00d7 = 2,1 mm\/s (kiegyens\u00falyoz\u00e1s ut\u00e1n alacsony), \u00bd\u00d7 = 1,8 mm\/s, 2\u00d7 = 3,2 mm\/s, 3\u00d7 = 2,5 mm\/s, 4\u00d7 = 1,8 mm\/s, 5\u00d7 = 1,1 mm\/s, 6\u00d7 = 0,7 mm\/s.<\/p>\n<p><strong>Diagn\u00f3zis:<\/strong> Mechanikai lazas\u00e1g (B t\u00edpus). A \u00bd\u00d7 szubharmonikus felharmonikuscsal\u00e1d a jellemz\u0151. A kiegyens\u00falyoz\u00e1s 1\u00d7 korrig\u00e1lt, de nem tudta kezelni a lazas\u00e1g \u00e1ltal gener\u00e1lt felharmonikusokat, amelyek az \u00e1ltal\u00e1nos rezg\u00e9st uralj\u00e1k.<\/p>\n<p><strong>Akci\u00f3:<\/strong> Az ellen\u0151rz\u00e9s sor\u00e1n kider\u00fclt, hogy a csap\u00e1gyh\u00e1z 0,08 mm-rel laza a talp furat\u00e1ban. A h\u00e1zat \u00fajraf\u00fart\u00e1k \u00e9s \u00faj csap\u00e1gyat szereltek be. Jav\u00edt\u00e1s ut\u00e1n: minden felharmonikus az alap\u00e9rt\u00e9kre cs\u00f6kkent. \u00d6sszess\u00e9g\u00e9ben: 1,4 mm\/s.<\/p>\n<\/p><\/div>\n<div class=\"example-block\">\n<div class=\"example-title\">3. eset: Kompresszormotor \u2013 elektromos vagy mechanikus?<\/div>\n<p><strong>G\u00e9p:<\/strong> 4 p\u00f3lus\u00fa, 50 Hz-es indukci\u00f3s motor 1485 ford\/perc fordulatsz\u00e1mmal, amely egy csavarkompresszort hajt. A rezg\u00e9s 3 h\u00f3nap alatt 2,0-r\u00f3l 5,5 mm\/s-ra n\u0151tt.<\/p>\n<p><strong>Spektrum:<\/strong> Domin\u00e1ns cs\u00facs 100 Hz-n\u00e9l (= 2FL). Tov\u00e1bb\u00e1: 1\u00d7 24,75 Hz-n\u00e9l = 1,2 mm\/s, oldals\u00e1vok az 1\u00d7 k\u00f6r\u00fcl \u00b11,0 Hz-es t\u00e1vols\u00e1ggal.<\/p>\n<p><strong>Kulcsteszt:<\/strong> \u00c1ramkimarad\u00e1s \u2013 a 100 Hz-es cs\u00facs egy fordulaton bel\u00fcl null\u00e1ra esett. Az 1\u00d7-es oldals\u00e1vok a le\u00e1ll\u00e1s alatt is megmaradtak.<\/p>\n<p><strong>Diagn\u00f3zis:<\/strong> K\u00e9t probl\u00e9ma: (1) Elektromos \u2013 az \u00e1ll\u00f3r\u00e9sz excentricit\u00e1sa 2FL-t okoz. (2) Mechanikai \u2013 az 1\u00d7 oldals\u00e1vok \u00b11,0 Hz-en (= p\u00f3lus\u00e1tereszt\u00e9si frekvencia 4 p\u00f3lus\u00fa motorn\u00e1l 1,0% szlippel) rotorr\u00fad-hib\u00e1ra utalnak.<\/p>\n<p><strong>Akci\u00f3:<\/strong> Motor visszateker\u00e9sre k\u00fcldve. Meger\u0151s\u00edtve: 2 t\u00f6r\u00f6tt rotorr\u00fad + \u00e1ll\u00f3r\u00e9sz excentricit\u00e1s az alap megereszked\u00e9se miatt. Visszatekercsel\u00e9s \u00e9s al\u00e1t\u00e9tez\u00e9s ut\u00e1n: 1,6 mm\/s rezg\u00e9s.<\/p>\n<\/p><\/div>\n<div class=\"info-box success\">\n<div class=\"box-title\">Vibromera berendez\u00e9s harmonikus elemz\u00e9shez<\/div>\n<p>A <a href=\"https:\/\/vibromera.eu\/hu\/termek\/balanset-1\/\">Balanset-1A<\/a> \u00e9s <a href=\"https:\/\/vibromera.eu\/hu\/termek\/balanset-4\/\">Balanset-4<\/a> val\u00f3s idej\u0171 <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/fft\/\">FFT spektrumanal\u00edzis<\/a> harmonikus kurzork\u00f6vet\u00e9ssel, amely lehet\u0151v\u00e9 teszi az 1\u00d7, 2\u00d7, 3\u00d7 mint\u00e1k terepi azonos\u00edt\u00e1s\u00e1t \u00e9s a hibadiagn\u00f3zist. Az eszk\u00f6z\u00f6k a diagnosztika \u00e9s a prec\u00edzi\u00f3 \u00e9rdek\u00e9ben \u00f6tv\u00f6zik a rezg\u00e9selemz\u00e9st <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/kiegyensulyozas\/\">kiegyens\u00falyoz\u00e1s<\/a> korrekci\u00f3hoz \u2013 a probl\u00e9ma azonos\u00edt\u00e1s\u00e1hoz \u00e9s egyetlen eszk\u00f6zzel t\u00f6rt\u00e9n\u0151 megold\u00e1s\u00e1hoz.<\/p>\n<\/p><\/div>\n<hr style=\"margin: 48px 0 24px; border: none; border-top: 1px solid var(--border-light);\">\n<p><a href=\"https:\/\/vibromera.eu\/hu\/glossary\/\">\u2190 Vissza a sz\u00f3jegyz\u00e9khez<\/a><\/p>\n<\/article>\n<p>      <!-- TOC SIDEBAR --><\/p>\n<aside class=\"toc-sidebar\">\n<div class=\"toc-box\">\n<h3>Ezen az oldalon<\/h3>\n<p>          <a href=\"#calculator\">Harmonikus kalkul\u00e1tor<\/a><br \/>\n          <a href=\"#diagnostic-cards\">Hibaminta-k\u00e1rty\u00e1k<\/a><br \/>\n          <a href=\"#diagnostic-table\">Diagnosztikai t\u00e1bl\u00e1zat<\/a><br \/>\n          <a href=\"#definition\">Meghat\u00e1roz\u00e1s<\/a><br \/>\n          <a href=\"#why-generated\">Mi\u00e9rt gener\u00e1lt<\/a><br \/>\n          <a class=\"sub\" href=\"#why-generated\">Fourier&#8217;s Theorem<\/a><br \/>\n          <a class=\"sub\" href=\"#why-generated\">Fizikai mechanizmusok<\/a><br \/>\n          <a href=\"#fault-signatures\">Hibajelek<\/a><br \/>\n          <a class=\"sub\" href=\"#fault-signatures\">1\u00d7 \u2014 Kiegyens\u00falyozatlans\u00e1g<\/a><br \/>\n          <a class=\"sub\" href=\"#fault-signatures\">2\u00d7 \u2014 Tengelybe\u00e1ll\u00e1si hiba<\/a><br \/>\n          <a class=\"sub\" href=\"#fault-signatures\">Sok \u00d7 \u2014 Lazas\u00e1g<\/a><br \/>\n          <a class=\"sub\" href=\"#fault-signatures\">Hajl\u00edtott tengely, s\u00farl\u00f3d\u00e1s, elektromos<\/a><br \/>\n          <a href=\"#non-synchronous\">Nem szinkron cs\u00facsok<\/a><br \/>\n          <a href=\"#analysis-guide\">Elemz\u00e9si \u00fatmutat\u00f3 (6 l\u00e9p\u00e9s)<\/a><br \/>\n          <a href=\"#case-studies\">Esettanulm\u00e1nyok<\/a>\n        <\/div>\n<div class=\"toc-box\" style=\"margin-top: 24px; background: var(--navy); border-color: var(--navy);\">\n<h3 style=\"color: var(--white);\">Vibromera berendez\u00e9sek<\/h3>\n<p style=\"color: rgba(255,255,255,0.6); font-size: 13px; margin-bottom: 12px;\">Hordozhat\u00f3 FFT spektrumanal\u00edzis + prec\u00edzi\u00f3s kiegyens\u00falyoz\u00e1s egyetlen eszk\u00f6zben.<\/p>\n<p>          <a href=\"https:\/\/vibromera.eu\/hu\/termek\/balanset-1\/\" style=\"display: block; padding: 8px 14px; background: var(--blue); color: white; border-radius: 6px; text-align: center; font-weight: 600; font-size: 14px; text-decoration: none; margin-bottom: 8px; border-left: none;\">Balanset-1A \u2192<\/a><br \/>\n          <a href=\"https:\/\/vibromera.eu\/hu\/termek\/balanset-4\/\" style=\"display: block; padding: 8px 14px; background: rgba(255,255,255,0.1); color: white; border-radius: 6px; text-align: center; font-weight: 600; font-size: 14px; text-decoration: none; border: 1px solid rgba(255,255,255,0.2); border-left: none;\">Balanset-4 \u2192<\/a>\n        <\/div>\n<\/aside><\/div>\n<\/p><\/div>\n<p><\/main><\/p>\n<p><!-- SHOP CTA --><\/p>\n<section class=\"shop-cta\">\n<div class=\"container\">\n<h2>Professzion\u00e1lis rezg\u00e9selemz\u00e9s \u00e9s kiegyens\u00falyoz\u00e1s<\/h2>\n<p>Diagnosztiz\u00e1lja a harmonikus mint\u00e1zatokat, \u00e9s egyens\u00falyozza ki a rotorokat a helysz\u00ednen a Vibromera hordozhat\u00f3 eszk\u00f6zeivel \u2014 FFT-spektrum, f\u00e1zism\u00e9r\u00e9s \u00e9s ISO-szabv\u00e1nynak megfelel\u0151 kiegyens\u00falyoz\u00e1s egyetlen m\u0171szerben.<\/p>\n<p>    <a href=\"https:\/\/vibromera.eu\/hu\/shop\/\" class=\"cta-btn\">Berendez\u00e9sek b\u00f6ng\u00e9sz\u00e9se \u2192<\/a>\n  <\/div>\n<\/section>\n<p><!-- FOOTER --><\/p>\n<footer class=\"page-footer\">\n<div class=\"container\">\n<p><a href=\"https:\/\/vibromera.eu\/hu\/glossary\/\">\u2190 Vissza a sz\u00f3t\u00e1rhoz<\/a> &nbsp;|&nbsp; <a href=\"https:\/\/vibromera.eu\/hu\/\">vibromera.eu<\/a><\/p>\n<\/p><\/div>\n<\/footer>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/hu\/glossary\/\">\u2190 Vissza a f\u0151 tartalomjegyz\u00e9khez<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Ismerje meg a harmonikusokat a rezg\u00e9sanal\u00edzisben. \u00c9rtse meg, hogyan keletkeznek ezek az alapfrekvencia eg\u00e9sz sz\u00e1m\u00fa t\u00f6bbsz\u00f6r\u00f6sei, \u00e9s mit jeleznek a g\u00e9p \u00e1llapot\u00e1r\u00f3l, p\u00e9ld\u00e1ul a hib\u00e1s illeszked\u00e9st \u00e9s a lazas\u00e1got.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[114,109],"tags":[],"class_list":["post-136","glossary","type-glossary","status-publish","hentry","category-analysis","category-glossary"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/hu\/wp-json\/wp\/v2\/glossary\/136","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/hu\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/hu\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":5,"href":"https:\/\/vibromera.eu\/hu\/wp-json\/wp\/v2\/glossary\/136\/revisions"}],"predecessor-version":[{"id":101731,"href":"https:\/\/vibromera.eu\/hu\/wp-json\/wp\/v2\/glossary\/136\/revisions\/101731"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/hu\/wp-json\/wp\/v2\/media?parent=136"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/hu\/wp-json\/wp\/v2\/categories?post=136"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/hu\/wp-json\/wp\/v2\/tags?post=136"}],"curies":[{"name":"munkaf\u00fczet","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}