{"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\/sw\/glossary\/harmonics\/","title":{"rendered":"Harmonics ni Nini katika Uchambuzi wa Vibration?"},"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: 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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: 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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%; 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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', 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}\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; 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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\/sw\/\">Nyumbani<\/a> \u2192 <a href=\"https:\/\/vibromera.eu\/sw\/glossary\/\">Glossary<\/a> \u2192 Harmonics\n    <\/div>\n<h1>Understanding <span>Harmonics<\/span> katika Uchambuzi wa Vibration<\/h1>\n<p class=\"subtitle\">Why integer multiples of shaft speed appear in vibration spectra \u2014 and how the pattern of 1\u00d7, 2\u00d7, 3\u00d7\u2026 harmonics reveals the precise nature of machinery faults from unbalance and misalignment to looseness and rubs.<\/p>\n<\/p><\/div>\n<\/header>\n\t\t<section class=\"woocommerce hestia-shop 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kinachobebeka na kichanganuzi cha Mtetemo 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> + VAT (ikiwa inatumika)<\/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=\"\/sw\/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=\"Add to cart\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Add to cart\" 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=\"\/sw\/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=\"Add to cart: \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=\"\">Add to cart<\/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\/sw\/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\/sw\/product\/vibration-sensor\/\" title=\"Sensor ya mtetemo\">\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=\"Kiazo cha kumkaribisha cha mipigo ya Balanset-1A\" 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\/sw\/product-category\/parts\/\" rel=\"tag\">Sehemu<\/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\/sw\/product\/vibration-sensor\/\" title=\"Sensor ya mtetemo\">Sensor ya mtetemo<\/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> + VAT (ikiwa inatumika)<\/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=\"\/sw\/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=\"Add to cart\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Add to cart\" 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=\"\/sw\/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=\"Add to cart: \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=\"\">Add to cart<\/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\/sw\/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\/sw\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Sensorer ya Macho (Tachometer ya Laser)\">\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=\"Sensorer ya Macho (Tachometer ya Laser)\" 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\/sw\/product-category\/parts\/\" rel=\"tag\">Sehemu<\/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\/sw\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Sensorer ya Macho (Tachometer ya Laser)\">Sensorer ya Macho (Tachometer ya Laser)<\/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> + VAT (ikiwa inatumika)<\/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=\"\/sw\/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=\"Add to cart\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Add to cart\" 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=\"\/sw\/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=\"Add to cart: \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=\"\">Add to cart<\/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\/sw\/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\/sw\/product\/balanset-4\/\" title=\"Balancet-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=\"Seti ya Vibromera ya uzani wa rotor: sanduku la kuendelea, mhuduma wa ishara ya njia nyingi, mchanganyaji wa kubaini, msingi wa sumaku, senseti za mipigo, na kebo zilizopindika.\" 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\/sw\/product-category\/devices\/\" rel=\"tag\">Vifaa<\/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\/sw\/product\/balanset-4\/\" title=\"Balancet-4\">Balancet-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> + VAT (ikiwa inatumika)<\/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=\"\/sw\/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=\"Add to cart\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Add to cart\" 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=\"\/sw\/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=\"Add to cart: \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=\"\">Add to cart<\/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\/sw\/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\/sw\/product\/magnet-stand\/\" title=\"Stand ya Magnetic 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=\"Msingi wa sumaku.\" 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\/sw\/product-category\/parts\/\" rel=\"tag\">Sehemu<\/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\/sw\/product\/magnet-stand\/\" title=\"Stand ya Magnetic Insize-60-kgf\">Stand ya Magnetic 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> + VAT (ikiwa inatumika)<\/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=\"\/sw\/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=\"Add to cart\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Add to cart\" 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=\"\/sw\/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=\"Add to cart: \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=\"\">Add to cart<\/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\/sw\/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\/sw\/product\/reflective-tape\/\" title=\"Mkanda wa kutafakari\">\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=\"Mkanda wa kutafakari\" 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\" 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href=\"\/sw\/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=\"Add to cart\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Add to cart\" 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=\"\/sw\/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=\"Add to cart: \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=\"\">Add to cart<\/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\/sw\/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\/sw\/product\/dynamic-balancer-balanset-1a\/\" title=\"Kisawazisha chenye nguvu cha &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 samani za kiti na kipengele cha kukamatia, senseti, kipimo cha kasi na vifaa\" 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\/sw\/product-category\/devices\/\" rel=\"tag\">Vifaa<\/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\/sw\/product\/dynamic-balancer-balanset-1a\/\" title=\"Kisawazisha chenye nguvu cha &quot;Balanset-1A&quot; OEM\">Kisawazisha chenye nguvu cha &quot;Balanset-1A&quot; 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> + VAT (ikiwa inatumika)<\/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=\"\/sw\/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=\"Add to cart\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Add to cart\" 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=\"\/sw\/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=\"Add to cart: \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=\"\">Add to cart<\/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 Kikokotoo cha Harmoniki<\/a><br \/>\n    <a href=\"#diagnostic-cards\">\ud83d\udcca Mifumo ya Arifa<\/a><br \/>\n    <a href=\"#diagnostic-table\">\ud83d\udccb Jedwali la Mchakato wa Utambuzi<\/a><br \/>\n    <a href=\"#definition\">\ud83d\udcd0 Definition<\/a><br \/>\n    <a href=\"#why-generated\">\ud83d\udd22 Kwa Nini Zilitengeneza<\/a><br \/>\n    <a href=\"#fault-signatures\">\ud83d\udd0d Saini za Arifa<\/a><br \/>\n    <a href=\"#non-synchronous\">\u3030\ufe0f Zisizofanana na Umeme<\/a><br \/>\n    <a href=\"#analysis-guide\">\ud83d\udee0 Mwongozo wa Uchambuzi<\/a><br \/>\n    <a href=\"#case-studies\">\ud83d\udcdd Case Studies<\/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\">Kihesabu cha Mzunguko wa Harmoniki<\/h2>\n<p class=\"panel-subtitle\">Kokoteni harmoniki na masafa ya arifa kawaida kwa kasi yoyote ya shimoni<\/p>\n<div class=\"calc-form\">\n<div class=\"form-group\">\n            <label>Shaft Speed <span class=\"unit\">(RPM)<\/span><\/label><br \/>\n            <input type=\"number\" id=\"shaftRPM\" value=\"1800\" min=\"1\" step=\"1\">\n          <\/div>\n<div class=\"form-group\">\n            <label>Idadi ya Harmoniki<\/label><br \/>\n            <select id=\"numHarmonics\"><option value=\"5\">5 harmonics<\/option><option value=\"10\" selected>10 harmonics<\/option><option value=\"15\">15 harmonics<\/option><option value=\"20\">20 harmonics<\/option><\/select>\n          <\/div>\n<div class=\"form-group\">\n            <label>Idadi ya Makamata\/Uvimbe <span class=\"unit\">(optional)<\/span><\/label><br \/>\n            <input type=\"number\" id=\"numBlades\" value=\"\" min=\"0\" step=\"1\" placeholder=\"e.g. 5, 7\">\n          <\/div>\n<div class=\"form-group\">\n            <label>Idadi ya Meno ya Gia <span class=\"unit\">(optional)<\/span><\/label><br \/>\n            <input type=\"number\" id=\"numTeeth\" value=\"\" min=\"0\" step=\"1\" placeholder=\"e.g. 48\">\n          <\/div>\n<div class=\"form-group\">\n            <label>Line Frequency <span class=\"unit\">(Hz)<\/span><\/label><br \/>\n            <select id=\"lineFreq\"><option value=\"50\" selected>50 Hz (Ulaya \/ Esia)<\/option><option value=\"60\">60 Hz (Amerika)<\/option><\/select>\n          <\/div>\n<div class=\"form-group\">\n            <label>Idadi ya Poles <span class=\"unit\">(motor)<\/span><\/label><br \/>\n            <select id=\"numPoles\"><option value=\"2\">2-pole<\/option><option value=\"4\" selected>4-pole<\/option><option value=\"6\">6-pole<\/option><option value=\"8\">8-pole<\/option><\/select>\n          <\/div>\n<p>          <button class=\"calc-btn\" onclick=\"calculate()\">Kokoteni Masafa Yote \u2192<\/button>\n        <\/div>\n<\/p><\/div>\n<p>      <!-- Results --><\/p>\n<div class=\"results-panel\">\n<h2 class=\"panel-title\">Mtazamo wa Harmoniki<\/h2>\n<p class=\"panel-subtitle\">Ramani ya mzuri wa masafa na jedwali kamili la harmoniki<\/p>\n<div id=\"resultsArea\">\n<div class=\"results-empty\">\n            <span class=\"icon\">\ud83d\udcc8<\/span><br \/>\n            Ingiza kasi ya shimoni na ubofye Kokoteni<br \/>kuona masafa ya harmoniki\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>Mifumo ya Saini za Arifa \u2014 Utambuzi wa Haraka<\/h2>\n<p>Kila kasoro katika mashine husambaza muundo wa harmonic wenye sifa inayoonekana katika <a href=\"https:\/\/vibromera.eu\/sw\/glossary\/spectrum\/\">wigo wa mitetemo<\/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\">Unbalance<\/div>\n<div class=\"fc-pattern\">Msingi 1\u00d7 \u2014 safi, kilele kimoja<\/div>\n<div class=\"fc-body\"><strong>Pattern:<\/strong> Strong 1\u00d7 with minimal harmonics. Amplitude proportional to speed\u00b2. Phase is stable and repeatable. <strong>Direction:<\/strong> Vibration radial kwa sehemu kubwa.<\/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\">Misalignment<\/div>\n<div class=\"fc-pattern\">Strong 2\u00d7 (and 3\u00d7) relative to 1\u00d7<\/div>\n<div class=\"fc-body\"><strong>Angular:<\/strong> High 1\u00d7 axial. <strong>Parallel:<\/strong> High 2\u00d7 radial, often \u2265 1\u00d7 amplitude. Severe cases show 3\u00d7, 4\u00d7. <strong>Key:<\/strong> Vibration ya axial kubwa kwenye coupling.<\/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\">Kupungua kwa Mitambo<\/div>\n<div class=\"fc-pattern\">Many harmonics: 1\u00d7, 2\u00d7, 3\u00d7, 4\u00d7\u2026 to 10\u00d7+<\/div>\n<div class=\"fc-body\"><strong>Pattern:<\/strong> Rich family of harmonics often with sub-harmonics (\u00bd\u00d7, \u2153\u00d7). Unstable phase. More harmonics = more severe looseness. <strong>Key indicator:<\/strong> sub-harmonic zipo.<\/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\">Bearing Defect<\/div>\n<div class=\"fc-pattern\">Kilele kisicho-synchronized: BPFO, BPFI + harmonic<\/div>\n<div class=\"fc-body\"><strong>Pattern:<\/strong> Peaks at <a href=\"https:\/\/vibromera.eu\/sw\/glossary\/bearing-fault-frequencies\/\" style=\"color:var(--success)\">taajweza za kosa la kuzaa<\/a> (si kuzidisha kwa kamili kwa RPM). Harmonic ya freq kasoro + <a href=\"https:\/\/vibromera.eu\/sw\/glossary\/sidebands\/\" style=\"color:var(--success)\">sidebands<\/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\u00b7BPF<\/span><\/div>\n<div class=\"bar\" style=\"height:25%;background:var(--success-light)\"><span class=\"bar-label\">3\u00b7BPF<\/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\">Kasoro ya Umeme<\/div>\n<div class=\"fc-pattern\">2\u00d7 line frequency (2FL) \u00b1 slip sidebands<\/div>\n<div class=\"fc-body\"><strong>Stator:<\/strong> 2FL (100\/120 Hz) msingi. <strong>Rotor bars:<\/strong> 1\u00d7 lenye sideband katika <a href=\"https:\/\/vibromera.eu\/sw\/glossary\/pole-pass-frequency\/\" style=\"color:var(--purple)\">mzunguko wa kupita kwa pole<\/a>. <strong>Test:<\/strong> Kukatika kwa umeme \u2014 vibration ya umeme inashuka haraka.<\/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\">Shaft Rub<\/div>\n<div class=\"fc-pattern\">Harmonic mingi ya utaratibu wa juu + sub-harmonic<\/div>\n<div class=\"fc-body\"><strong>Light rub:<\/strong> \u00bd\u00d7, 1\u00d7, and many harmonics to 10\u00d7+. <strong>Full annular:<\/strong> Sub-harmonics (\u00bd\u00d7, \u2153\u00d7, \u00bc\u00d7) dominant. Thermal bowing may cause drifting 1\u00d7 vector.<\/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 Kumbumbu Kamili ya Muundo wa Harmonic kwa Mgao wa Kasoro<\/div>\n<table>\n<thead>\n<tr>\n<th>Hali ya Kasoro<\/th>\n<th>Harmonic ya Msingi<\/th>\n<th>Muundo wa Amplitude<\/th>\n<th>Direction<\/th>\n<th>Phase Behavior<\/th>\n<th>Sifa ya Utofauti<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Mass unbalance<\/td>\n<td class=\"mono\">1\u00d7<\/td>\n<td>1\u00d7 \u226b wote wengine<\/td>\n<td>Radial<\/td>\n<td>Thabiti; inafuata eneo lenye uzani<\/td>\n<td>Kilele safi kimoja; sawia na kasi\u00b2<\/td>\n<\/tr>\n<tr>\n<td>Bent shaft<\/td>\n<td class=\"mono\">1\u00d7 + 2\u00d7<\/td>\n<td>Both high<\/td>\n<td>Axial + Radial<\/td>\n<td>1\u00d7 phase 180\u00b0 between ends (axial)<\/td>\n<td>Mhimili 1\u00d7 ya juu; haiwezi kurahisishwa kwa kusawazisha<\/td>\n<\/tr>\n<tr>\n<td>Kukosa mhimili wa angular<\/td>\n<td class=\"mono\">1\u00d7 (axial)<\/td>\n<td>Mhimili 1\u00d7 ya juu kwenye pambano<\/td>\n<td>Axial dominant<\/td>\n<td>180\u00b0 kwenye pambano (mhimili)<\/td>\n<td>Mhimili 1\u00d7 kwenye pambano &gt; radial<\/td>\n<\/tr>\n<tr>\n<td>Utofauti wa parasilel<\/td>\n<td class=\"mono\">2\u00d7 (radial)<\/td>\n<td>2\u00d7 \u2248 or &gt; 1\u00d7; 3\u00d7 may appear<\/td>\n<td>Radial inayodominisha<\/td>\n<td>180\u00b0 kwenye pambano (radial)<\/td>\n<td>2\u00d7 ratio to 1\u00d7 is diagnostic<\/td>\n<\/tr>\n<tr>\n<td>Urahisishaji wa muundo (Aina A)<\/td>\n<td class=\"mono\">1\u00d7<\/td>\n<td>Kuelekeza \u2014 kwa juu katika mwelekeo wa uhalifu<\/td>\n<td>Directional<\/td>\n<td>Isiyosimama; inaweza kusonga<\/td>\n<td>Fedha zinabadilika na kilo ya bolt<\/td>\n<\/tr>\n<tr>\n<td>Urahisishaji wa zizimu (Aina B)<\/td>\n<td class=\"mono\">1\u00d7, 2\u00d7, 3\u00d7\u2026n\u00d7<\/td>\n<td>Safu ya harmoniki + \u00bd\u00d7<\/td>\n<td>Radial<\/td>\n<td>Isiyosimama; bila utaratibu<\/td>\n<td>Sub-harmonics (\u00bd\u00d7, \u2153\u00d7) are key differentiator<\/td>\n<\/tr>\n<tr>\n<td>Urahisishaji wa kiti cha kuhamisha (Aina C)<\/td>\n<td class=\"mono\">Harmoniki nyingi + chini<\/td>\n<td>Mwinuko wa kelele ya sakafu na vilele vingi<\/td>\n<td>Radial<\/td>\n<td>Very unstable<\/td>\n<td>Kuinuka kwa wingi wa kelele isiyojua mahali<\/td>\n<\/tr>\n<tr>\n<td>Soft foot<\/td>\n<td class=\"mono\">1\u00d7 + 2\u00d7<\/td>\n<td>1\u00d7 inabadilika na kilo ya bolt<\/td>\n<td>Wima inayodominisha<\/td>\n<td>Mabadiliko na kufunga bolts<\/td>\n<td>Amplitude ya 1\u00d7 inabadilika wakati bolts zikitenganuliwa mtu mtu<\/td>\n<\/tr>\n<tr>\n<td>Magurudumu yanarushwa (nyepesi, sehemu)<\/td>\n<td class=\"mono\">\u00bd\u00d7, 1\u00d7, 2\u00d7\u2026n\u00d7<\/td>\n<td>Harmoniki nyingi za juu<\/td>\n<td>Radial<\/td>\n<td>Yasiyoshughulikika; dereva ya joto<\/td>\n<td>\u00bd\u00d7 and \u2153\u00d7 sub-harmonics; thermal vector drift<\/td>\n<\/tr>\n<tr>\n<td>Magurudumu yanarushwa (kuzunguka kamili)<\/td>\n<td class=\"mono\">\u00bd\u00d7, \u2153\u00d7, \u00bc\u00d7 dominant<\/td>\n<td>Sub-harmoniki &gt; 1\u00d7<\/td>\n<td>Radial<\/td>\n<td>Chaotic<\/td>\n<td>Usotiri wa sub-synchronous; precession ya nyuma<\/td>\n<\/tr>\n<tr>\n<td>Oil whirl<\/td>\n<td class=\"mono\">0.42\u20130.48\u00d7<\/td>\n<td>Kilele cha sub-synchronous chini ya \u00bd\u00d7<\/td>\n<td>Radial<\/td>\n<td>Precession ya mbele<\/td>\n<td>Frequency inaendelea kwa ~0.43\u00d7 RPM; inategemea kasi<\/td>\n<\/tr>\n<tr>\n<td>Oil whip<\/td>\n<td class=\"mono\">\u2248 1st critical<\/td>\n<td>Imefungwa katika kritika ya 1 bila kujali kasi<\/td>\n<td>Radial<\/td>\n<td>Precession ya mbele<\/td>\n<td>Frequency inafunga; mbaya sana ikiwa haitatuliwi<\/td>\n<\/tr>\n<tr>\n<td>Gear mesh<\/td>\n<td class=\"mono\">GMF, 2\u00d7GMF, 3\u00d7GMF<\/td>\n<td>GMF = #meno \u00d7 RPM + sidebands<\/td>\n<td>Radial + Axial<\/td>\n<td>N\/A (forced)<\/td>\n<td>Sidebands kwa kasi ya shimoni kutambua gear iliyoharibiwa<\/td>\n<\/tr>\n<tr>\n<td>Blade\/vane pass<\/td>\n<td class=\"mono\">BPF, 2\u00d7BPF<\/td>\n<td>BPF = #blades \u00d7 RPM<\/td>\n<td>Radial + Axial<\/td>\n<td>N\/A (forced)<\/td>\n<td>Kawaida; amplitude kubwa = tatizo la nafasi au resonance<\/td>\n<\/tr>\n<tr>\n<td>Eccentricity ya stator<\/td>\n<td class=\"mono\">2FL (100\/120 Hz)<\/td>\n<td>Dominance ya frequency 2\u00d7 line<\/td>\n<td>Radial<\/td>\n<td>N\/A<\/td>\n<td>Hutoweka haraka sana wakati wa kukatwa kwa umeme<\/td>\n<\/tr>\n<tr>\n<td>Ufala wa sehemu ya rotor<\/td>\n<td class=\"mono\">1\u00d7 yenye sidebands za pole pass<\/td>\n<td>Sidebands kwa slip freq \u00d7 poles<\/td>\n<td>Radial<\/td>\n<td>Modulated<\/td>\n<td>Ukubaji karibu na 1\u00d7 unaonyesha sidebands zilizosambazwa sawa<\/td>\n<\/tr>\n<tr>\n<td>VFD-induced<\/td>\n<td class=\"mono\">Harmonics ya switching freq<\/td>\n<td>Kilele kisicho-sambamba (non-synchronous) kwa PWM freq<\/td>\n<td>Radial<\/td>\n<td>N\/A<\/td>\n<td>Frequency huru kutokana na kasi ya shaft<\/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 Kumbukumbu ya Sub-Harmonic na Fractional-Harmonic<\/div>\n<table>\n<thead>\n<tr>\n<th>Frequency<\/th>\n<th>Designation<\/th>\n<th>Common Causes<\/th>\n<th>Severity<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"mono\">0.42\u20130.48\u00d7<\/td>\n<td>Oil whirl<\/td>\n<td>Mzigo wa bearing utofauti; njia kubwa; shaft nyepesi<\/td>\n<td><span class=\"tag high\">Muhimu \u2014 inaweza kusababisha oil whip<\/span><\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">\u00bd\u00d7 (0.50\u00d7)<\/td>\n<td>Half-order<\/td>\n<td>Mfirikiano, kutokaa mahali (Type B\/C), shaft iliyobomoka (nadra), matatizo ya belt<\/td>\n<td><span class=\"tag high\">Muhimu \u2014 chunguza haraka<\/span><\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">\u2153\u00d7 (0.33\u00d7)<\/td>\n<td>Sub ya utaratibu wa tatu<\/td>\n<td>Mfirikiano kamili wa annular; kutokaa kwa kiwango kikubwa; ukosefu wa uthabiti unaosababishwa na kimiminika<\/td>\n<td><span class=\"tag high\">Kimbaya sana \u2014 hali hatari<\/span><\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">\u00bc\u00d7 (0.25\u00d7)<\/td>\n<td>Sub ya utaratibu wa robo<\/td>\n<td>Mfirikiano kamili yenye orbit iliyofungwa; kutokaa kwa kiwango cha juu zaidi<\/td>\n<td><span class=\"tag high\">Kimbaya sana \u2014 shutdown inaweza kuhitajika<\/span><\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">1.5\u00d7 (3\/2\u00d7)<\/td>\n<td>3\/2 order<\/td>\n<td>Mzunguko wa mafuta unaojirambiya pamoja na kutokuwa na uwiano<\/td>\n<td><span class=\"tag medium\">Angalia kwa makini<\/span><\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">2.5\u00d7, 3.5\u00d7\u2026<\/td>\n<td>Familia ya nusu-mpangilio<\/td>\n<td>Kutokuwa na thabiti na sehemu kali ya magurudumu<\/td>\n<td><span class=\"tag medium\">Njia za kushindwa kwa pamoja<\/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>Ufafanuzi: Harmonic ni nini?<\/h2>\n<p>Katika uchanganuzi wa mitetemo, <strong>harmonic<\/strong> ni frequency ambayo ni kuzidisha kwa namba kamili ya frequency ya msingi. Katika mashine zenye kuzunguka, frequency ya msingi kawaida ni kasi ya kuzunguka kwa mkingi, inajulikana kama harmonic ya 1 au <strong>1\u00d7<\/strong>. The subsequent harmonics are integer multiples: 2\u00d7 (twice shaft speed), 3\u00d7 (three times), and so on. These frequencies are also called <em>orders<\/em> ya kasi ya operesheni, au <em>harmonics zinazolingana<\/em> kwa sababu zinajiratibu vizuri na kuzunguka kwa mkingi.<\/p>\n<p>For example, if a motor operates at 1,800 RPM (30 Hz), its harmonics appear at 60 Hz (2\u00d7), 90 Hz (3\u00d7), 120 Hz (4\u00d7), 150 Hz (5\u00d7), and so forth. The harmonic series is theoretically infinite, but in practice, amplitude decreases at higher orders and only the first several harmonics carry diagnostic information.<\/p>\n<div class=\"formula-box\">\n<div class=\"formula-label\">Ufafanuzi wa Harmonic Frequency<\/div>\n<div class=\"formula-main\">f<sub>n<\/sub> = n \u00d7 f<sub>1<\/sub> = n \u00d7 (RPM \/ 60)<\/div>\n<div class=\"formula-note\">where n = 1, 2, 3, 4\u2026 (harmonic order) and f\u2081 = shaft rotational frequency in Hz<\/div>\n<\/p><\/div>\n<div class=\"info-box\">\n<div class=\"box-title\">Harmonics vs. Sub-Harmonics vs. Peak zisizolingana<\/div>\n<p><strong>Harmonics<\/strong> are integer multiples of shaft speed (2\u00d7, 3\u00d7, 4\u00d7\u2026). <strong>Sub-harmonics<\/strong> are fractional multiples (\u00bd\u00d7, \u2153\u00d7, \u00bc\u00d7) and always indicate severe mechanical problems. <strong>Peak zisizolingana<\/strong> ni frequencies zisizohusiana na kasi ya mkingi \u2014 kama vile <a href=\"https:\/\/vibromera.eu\/sw\/glossary\/bearing-fault-frequencies\/\">taajweza za kosa la kuzaa<\/a>, frequencies za gear mesh, frequency ya mstari (50\/60 Hz), au <a href=\"https:\/\/vibromera.eu\/sw\/glossary\/natural-frequency\/\">frequency za asili<\/a> \u2014 na zinahitaji njia tofauti za kuchambua. Peak katika 3.57\u00d7 RPM SI harmonic; pengine ni frequency ya kushindwa kwa kufa kwa mpigia.<\/p>\n<\/p><\/div>\n<h2 id=\"why-generated\">Kwa nini Harmonics Zinaundwa?<\/h2>\n<p>Katika mfumo unaokamilika ulioelekezwa na nguvu yenye wimbi safi (kama vile rotor iliyokuwa na uwiano kamili, inayojaliwa vizuri katika mpigia kamili), tu harmonic ya 1\u00d7 isingekuja. Mashine halisi kamwe sio kamili. Harmonics zinaonekana kila wakati wimbi la mitetemo linabadilika kutoka sine wimbi safi \u2014 kila wakati majibu ya mfumo ni <em>non-linear<\/em> au chaguo la nguvu yenyewe sio wa sinusoidali.<\/p>\n<h3>Hisabati: Nadharia ya Fourier<\/h3>\n<p><strong>Nadharia ya Fourier<\/strong> inasema kwamba mawimbi yoyote ya kawaida \u2014 hakuna hali ipi \u2014 yanaweza kugawanywa katika jumla ya mawimbi ya sine katika masafa ya kimsingi na kuzidisha lake, kila moja ikiwa na amplitude na awamu mahususi. Algoriti ya FFT (Fast Fourier Transform) inayotumiwa na vichumi vya vibration inafanya mgawanyiko huu kwa kihisabati, kuweka wazi yaliyofichwa ya harmonic katika ishara.<\/p>\n<p>A pure sine wave has only a single frequency component. A square wave contains all odd harmonics (1\u00d7, 3\u00d7, 5\u00d7, 7\u00d7\u2026) with amplitudes decreasing as 1\/n. A sawtooth wave contains all harmonics with amplitudes decreasing as 1\/n. The specific shape of the distortion determines which harmonics appear \u2014 this is what makes harmonic analysis so diagnostically powerful.<\/p>\n<h3>Utaratibu wa Kimwili Ambao Unazalisha Harmonics<\/h3>\n<ul>\n<li><strong>Kumkata \/ kukataa wimbi:<\/strong> Wakati harakati ya shimoni inapingwa kwa kimwili (nyumba ya bearing, mawasiliano ya mkazo), wimbi linalosababishwa linakatamatwa, likitengeneza harmonics. Kumkata kwa nguvu zaidi kunazalisha harmonics zaidi.<\/li>\n<li><strong>Ugumu usio wa linganifu:<\/strong> If system stiffness differs between positive and negative halves of the vibration cycle (cracked shaft opening\/closing, misalignment creating different tension\/compression stiffness), even harmonics (2\u00d7, 4\u00d7, 6\u00d7) are generated.<\/li>\n<li><strong>Impact events:<\/strong> Mabano ya kawaida (boliti libwa, athari za kasoro la bearing) hutengeneza mawimbi mafupi ya muda mfupi ambayo yana harmonics nyingi sana \u2014 kama vile fimbo ya ngoma inazalisha sauti nyingi za juu.<\/li>\n<li><strong>Nguvu za kurudi isiyo na mstari:<\/strong> Wakati ugumu hubadilika na kuhamia (mabearing chini ya mlaji tofauti, kunyongeza nguvu za rubber), jibu kwa nguvu ya sinusoidali lina harmonics.<\/li>\n<li><strong>Msukumo wa parametri:<\/strong> Wakati mali ya mfumo inabadilika kwa kawaida katika masafa yanayohusiana na kasi ya shimoni, zinaweza kutengeneza harmonics na sub-harmonics ya masafa ya msukumo.<\/li>\n<\/ul>\n<div class=\"info-box success\">\n<div class=\"box-title\">Kanuni Muhimu ya Utambuzi<\/div>\n<p>Muundo wa harmonics ipi ipo, amplitudi zao za jamaa, na zipi zisizo na kitu inaonyesha mchambuzi ni utaratibu gani wa kimwili unazalisha kutokokuwa na mstari. Wachambuzi wenye tajriba wanatazama muundo kamili wa harmonic wa ghoshi \u2014 si tu kiwango chote cha vibration \u2014 kubaini utaratibu mahususi wa kasoro.<\/p>\n<\/p><\/div>\n<h2 id=\"fault-signatures\">Muundo wa Kasoro wa Kina \u2014 Muundo wa Harmonics<\/h2>\n<h3>1\u00d7 Inayojulikana \u2014 Kutokwanza<\/h3>\n<p>Kilele cha 1\u00d7 kinachojulikana na harmonics ndogo zaidi ya juu ni saini ya kawaida ya <strong><a href=\"https:\/\/vibromera.eu\/sw\/glossary\/unbalance\/\">mass unbalance<\/a><\/strong>. Nguvu ya kutokwanza ni yenye asili ya sinusoidali (inaendelea na shimoni katika masafa ya 1\u00d7), kutengeneza kilele cha moja safi katika uwanja wa masafa.<\/p>\n<h4>Maelezo ya Utambuzi<\/h4>\n<ul>\n<li><strong>Amplitude:<\/strong> Proportional to speed\u00b2 (double speed \u2192 4\u00d7 amplitude) and proportional to unbalance mass<\/li>\n<li><strong>Phase:<\/strong> Imara, inayorudia, yenye thamani moja. Inabadilika kwa njia madhubuti na kuongezwa kwa uzani wa jaribio \u2014 huu ndio msingi wa zote <a href=\"https:\/\/vibromera.eu\/sw\/glossary\/balancing\/\">taratibu za usawazishaji<\/a><\/li>\n<li><strong>Direction:<\/strong> Zaidi ya kimsingi radial; 1\u00d7 axial ni chini isipokuwa rotor ina overhang kubwa<\/li>\n<li><strong>Confirmation:<\/strong> Jibu kwa uzani wa jaribio linathibitisha kutokuwa na uimbilifu. Ikiwa 1\u00d7 haijibu kwa uzani wa jaribio, zingatiaje shimoni iliyoinama, eccentricity, au resonance<\/li>\n<\/ul>\n<div class=\"info-box warning\">\n<div class=\"box-title\">Si Kila Vibration ya 1\u00d7 ni Kutokuwa na Uimbilifu<\/div>\n<p>Hali kadhaa zinazalisha 1\u00d7 ya juu ambayo HAIOZOWEZA kukamatwa kwa kutengeneza usawa: shimoni iliyoinama, eccentricity ya shimoni, electrical runout kwenye proximity probes, rotor bow kutokana na athari za joto, eccentricity ya coupling, na <a href=\"https:\/\/vibromera.eu\/sw\/glossary\/resonance\/\">resonance<\/a> amplification. Daima thibitisha chochote kabla ya kujaribu kutengeneza usawa.<\/p>\n<\/p><\/div>\n<h3>2\u00d7 Inatawala \u2014 Kukosa Unaendelea<\/h3>\n<p>Harmonic ya pili yenye nguvu, mara nyingi yenye amplitude inayolingana na au inayozidi kilele cha 1\u00d7, ni kiashiria kikuu cha <strong><a href=\"https:\/\/vibromera.eu\/sw\/glossary\/misalignment\/\">kukosa unaendelea kwa shimoni<\/a><\/strong>. Kukosa unaendelea kulazimisha shimoni kwa njia isiyo na sinus wakati wa kila kuzunguka, na kusababisha distortion inayozaa 2\u00d7 na wakati mwingine harmonics ya juu zaidi.<\/p>\n<h4>Kukosa Unaendelea kwa Angular dhidi ya Parallel<\/h4>\n<ul>\n<li><strong>Kukosa unaendelea kwa angular:<\/strong> Shaft centerlines intersect at an angle at the coupling. Produces high 1\u00d7 axial vibration. Phase across coupling shows ~180\u00b0 shift in the axial direction.<\/li>\n<li><strong>Kukosa unaendelea kwa parallel (offset):<\/strong> Shaft centerlines are parallel but offset. Produces high 2\u00d7 radial vibration, often with 2\u00d7 \u2265 1\u00d7. Severe cases generate 3\u00d7 and 4\u00d7. Radial phase across coupling shows ~180\u00b0 shift.<\/li>\n<li><strong>Combined:<\/strong> Katika matukio halisi, zote mbili kawaida zipo pamoja, na zinazalisha mchanganyiko wa signatures.<\/li>\n<\/ul>\n<h4>The 2\u00d7\/1\u00d7 Ratio as a Diagnostic Indicator<\/h4>\n<table class=\"article-table\">\n<thead>\n<tr>\n<th>2\u00d7\/1\u00d7 Ratio<\/th>\n<th>Hali Inayowezekana<\/th>\n<th>Action<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"mono\">&lt; 0.25<\/td>\n<td>Kawaida; 2\u00d7 iliyopo kwa kiwango cha chini katika mashine nyingi<\/td>\n<td>Hakuna hatua inayohitajika<\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">0.25 \u2013 0.50<\/td>\n<td>Kukosa unaendelea kwa wastani kunaweza kuwezekanika; kawaida kwa aina baadhi za coupling<\/td>\n<td>Angalia unaendelea; linganisha na mstari wa msingi<\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">0.50 \u2013 1.00<\/td>\n<td>Kukosa unaendelea kubwa kunajitokeza kuwezekanika<\/td>\n<td>Fanya uangalifu wa usambazaji wa laser wenye usahihi<\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">&gt; 1.00<\/td>\n<td>Severe misalignment; 2\u00d7 exceeds 1\u00d7<\/td>\n<td>Haraka \u2014 badilisha kwa kuangalia; kagua jambo la kuunganisha na mkazo wa kebo<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>Harmonic Nyingi \u2014 Uhalifu wa Mitambo<\/h3>\n<p>Msururu wa tajriba ya <a href=\"https:\/\/vibromera.eu\/sw\/glossary\/running-speed\/\">running speed<\/a> harmonics (1\u00d7, 2\u00d7, 3\u00d7, 4\u00d7, 5\u00d7\u2026 to 10\u00d7 or more) indicate <strong>kupungua kwa mitambo<\/strong>. Matatizo, kelele, na mzunguko wa kutenganisha\/kuungana bila uwiano huleta upotoshaji mkubwa wa mawimbi ambayo unakamatia sehemu nyingi za harmonic.<\/p>\n<h4>Aina Tatu za Uhalifu<\/h4>\n<ul>\n<li><strong>Aina A \u2014 Miundombinu:<\/strong> Loose machine-to-foundation connection (soft foot, cracked base, loose anchor bolts). Produces directional 1\u00d7 (higher in the loose direction). Key test: tighten\/loosen individual bolts while monitoring 1\u00d7 amplitude.<\/li>\n<li><strong>Aina B \u2014 Sehemu:<\/strong> Loose bearing liner in cap, loose cap on housing, excessive bearing clearance. Produces a family of harmonics, often with sub-harmonics (\u00bd\u00d7). Sub-harmonics are the key differentiator from misalignment (looseness, not misalignment, produces sub-harmonics).<\/li>\n<li><strong>Aina C \u2014 Kiti cha bearing:<\/strong> Impeller inayozunguka kwenye shimoni, jambo la kuunganisha linalozunguka, wazi nyingi wa bearing linaloruhusu rotor kuruka. Hutoa harmonic nyingi na kiwango cha kelele pana.<\/li>\n<\/ul>\n<div class=\"info-box\">\n<div class=\"box-title\">Sub-Harmonic: Kidole cha Uhalifu<\/div>\n<p>The presence of sub-harmonics (\u00bd\u00d7, \u2153\u00d7) is the most reliable differentiator between looseness and misalignment. Misalignment generates 2\u00d7 and 3\u00d7 but rarely produces sub-harmonics. Looseness (Types B and C) characteristically generates \u00bd\u00d7 because the rotor contacts one side of the bearing on one half-revolution and bounces to the other on the next \u2014 creating a pattern that repeats every two revolutions, hence \u00bd\u00d7.<\/p>\n<\/p><\/div>\n<h3>Hali Nyingine Zinazobuza Harmonic<\/h3>\n<h4>Bent Shaft<\/h4>\n<p>Produces both 1\u00d7 and 2\u00d7 vibration with high axial component. Unlike misalignment, a <a href=\"https:\/\/vibromera.eu\/sw\/glossary\/bent-shaft\/\">bent shaft<\/a> shows 1\u00d7 that cannot be corrected by balancing (geometric eccentricity, not mass distribution) and ~180\u00b0 axial phase difference between shaft ends. The 2\u00d7 comes from asymmetric stiffness as the bend opens and closes during rotation.<\/p>\n<h4>Mashine ya Kupiga Mitikiso<\/h4>\n<p>Injini, kompresa, na mashine ya kupiga mitikiso huzalisha asili ya harmonic ya tajriba kwa sababu mwendo wa pistoni\/crankshaft si wa sinusoidal kwa asili. Muundo wa harmonic unategemea idadi ya silinda, agizo la moto, na aina ya mtao (2-mtao vs. 4-mtao).<\/p>\n<h4>Rotor Rub<\/h4>\n<p>A partial rub (contact for a portion of each revolution) produces many high-order harmonics \u2014 sometimes to 10\u00d7, 20\u00d7, or more. A full annular rub (continuous 360\u00b0 contact) generates dominant sub-harmonics (\u00bd\u00d7, \u2153\u00d7, \u00bc\u00d7) through reverse precession mechanisms.<\/p>\n<h4>Matatizo ya Umeme katika Motoki<\/h4>\n<p>Motoki ya AC huzalisha mitetemo kwa kuzidisha kwa kiwango cha mstari (50 au 60 Hz) huru ya kasi ya shimoni. Kawaida ni 2\u00d7 kiwango cha mstari (100 Hz katika mifumo ya 50 Hz, 120 Hz katika mifumo ya 60 Hz). Hii SI harmonic ya kasi ya shimoni \u2014 ni harmonic ya kiwango cha mstari, ambayo ni muhimu kwa utofautishaji wa umeme kutokana na mitetemo ya mitambo. Ye <strong>power cut test<\/strong> ni muhimu: mitetemo ya umeme yanaanguka papo hapo wakati nguvu inarekebishwa, mitetemo ya mitambo hubaki wakati wa kuzorota.<\/p>\n<p>Kasoro za ufa wa rotor hutoa upande kuzunguka 1\u00d7 inayoandaliwa na kiwango cha kupita kwa nguvu (<a href=\"https:\/\/vibromera.eu\/sw\/glossary\/slip-frequency\/\">slip frequency<\/a> \u00d7 number of poles). These sidebands are very close to 1\u00d7 (within 1\u20135 Hz), requiring high-resolution <a href=\"https:\/\/vibromera.eu\/sw\/glossary\/zoom-fft\/\">zoom FFT<\/a> uchanganuzi kusuluhisha.<\/p>\n<h2 id=\"non-synchronous\">Mzunguko Usiotambati \u2014 Sio Harmonia Asili<\/h2>\n<p>Mzunguko kadhaa muhimu huelezewa mahali pengine kama harmonia lakini kwa kweli ni huru kwa kasi ya shimoni:<\/p>\n<table class=\"article-table\">\n<thead>\n<tr>\n<th>Frequency Type<\/th>\n<th>Formula<\/th>\n<th>Uhusiano na RPM<\/th>\n<th>Notes<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Mzunguko wa kasoro wa bearing<\/td>\n<td class=\"mono\"><a href=\"https:\/\/vibromera.eu\/sw\/calculators\/bearing-defect-frequencies\/\">BPFO, BPFI, BSF, FTF<\/a><\/td>\n<td>Non-integer multiples (e.g. 3.57\u00d7, 5.43\u00d7)<\/td>\n<td>Always non-synchronous; depends on bearing geometry<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/vibromera.eu\/sw\/glossary\/gear-mesh-frequency\/\">Namba ya kugusiana kwa gesi<\/a><\/td>\n<td class=\"mono\">GMF = #meno \u00d7 RPM<\/td>\n<td>Nambari lakini mpangilio mwinuko zaidi<\/td>\n<td>Kwa kiufundi ni harmonia lakini inachambuliwa kando<\/td>\n<\/tr>\n<tr>\n<td>Blade\/vane pass<\/td>\n<td class=\"mono\">BPF = #blades \u00d7 RPM<\/td>\n<td>Kuzidisha nambari<\/td>\n<td>Kawaida; amplitude kupita kiasi inaonyesha tatizo<\/td>\n<\/tr>\n<tr>\n<td>Line frequency<\/td>\n<td class=\"mono\">FL = 50 au 60 Hz<\/td>\n<td>Sio mahusiano na RPM<\/td>\n<td>Umeme; hutoweka katika kukatwa kwa umeme<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/vibromera.eu\/sw\/glossary\/natural-frequency\/\">Mzunguko asilia<\/a><\/td>\n<td class=\"mono\">f<sub>n<\/sub> = \u221a(k\/m)\/2\u03c0<\/td>\n<td>Imara; sio mahusiano na RPM<\/td>\n<td>Mzunguko thabiti haijalishi mabadiliko ya kasi<\/td>\n<\/tr>\n<tr>\n<td>Mzunguko wa ukanda<\/td>\n<td class=\"mono\">f<sub>belt<\/sub> = RPM\u00d7\u03c0\u00d7D\/L<\/td>\n<td>Chini ya kitambatisho (&lt; kasi ya shimoni)<\/td>\n<td>Belt frequency and its harmonics 2\u00d7, 3\u00d7, 4\u00d7 BF<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"analysis-guide\">Mwongozo wa Uchambuzi \u2014 Jinsi ya Kutafsiri Mifumo ya Harmonia<\/h2>\n<h3>Hatua 1: Tambua Msingi (1\u00d7)<\/h3>\n<p>Tafuta kilele cha 1\u00d7 kinachofanana na kasi ya mzunguko wa shimoni. Thibitisha kutumia <a href=\"https:\/\/vibromera.eu\/sw\/glossary\/tachometer\/\">tachometer<\/a> au chapa ya mfumo wa motor. Katika mashine zenye kasi inayoweza kubadilikayo, 1\u00d7 lazima iidentifike kwa usahihi kwa kila kipimo.<\/p>\n<h3>Hatua ya 2: Orodhesha Kilele Kiote<\/h3>\n<p>Kwa kila kilele muhimu, bainisha: je, ni kizidisho halisi kamili cha 1\u00d7 (harmonic halisi)? Kizidisho cha sehemu (sub-harmonic)? Haijakusudiwa kuwa jamaa na kasi ya shimoni (yasiyo ya synchronous)? Tumia vipengele vya cursor ya harmonic ya analyzer kwa ufanisi.<\/p>\n<h3>Hatua ya 3: Chunguza Mchoro wa Amplitude<\/h3>\n<ul>\n<li>Harmonic ipi inayotawala? \u2192 Inaonyesha kasoro mahususi<\/li>\n<li>Harmonics ngapi zimewepo? \u2192 Zaidi = upotezaji kamili zaidi<\/li>\n<li>Does 2\u00d7 exceed 1\u00d7? \u2192 Likely misalignment<\/li>\n<li>Je, sub-harmonics zimewepo? \u2192 Koleo, msuguano, au <a href=\"https:\/\/vibromera.eu\/sw\/glossary\/oil-whirl\/\">oil whirl<\/a><\/li>\n<li>Je, amplitude inapungua na mpangilio (1\/n decay)? \u2192 Kawaida kwa koleo<\/li>\n<\/ul>\n<h3>Hatua ya 4: Angalia Kuelekeza<\/h3>\n<ul>\n<li><strong>Radial juu, axial chini:<\/strong> Kutokuwa na usawa au koleo<\/li>\n<li><strong>High axial:<\/strong> Unakamatia (hasa angular) au shimoni iliyobanwa<\/li>\n<li><strong>Radial inayoelekeza:<\/strong> Koleo la muundo (juu zaidi katika mwelekeo wa koleo)<\/li>\n<\/ul>\n<h3>Hatua ya 5: Elezea Kwa Wakati<\/h3>\n<ul>\n<li>Je, amplitudes ya harmonic zinaongezeka? \u2192 Kasoro inasambaa<\/li>\n<li>Je, harmonics mpya zinakuja? \u2192 Utaratibu wa kasoro mpya unakuendeleza<\/li>\n<li>Je, sauti ya uzuri inakwenda juu? \u2192 Mabingu ya kawaida au kushindwa kwa hatua ya mwisho<\/li>\n<\/ul>\n<h3>Hatua ya 6: Kuweka Nambari na Data ya Awamu<\/h3>\n<ul>\n<li><strong>Unbalance:<\/strong> Awamu ya 1\u00d7 ni imara na inaweza kurudiwa<\/li>\n<li><strong>Misalignment:<\/strong> 1\u00d7 or 2\u00d7 phase shows ~180\u00b0 across coupling<\/li>\n<li><strong>Looseness:<\/strong> Awamu ni imara, inaweza kubadilika kwa nasibu kati ya vipimo<\/li>\n<\/ul>\n<p>Katika mazoezi, hatua zote sita zinaweza kutekelezwa mahali pa kazi kwa chombo cha fuleni na chaneli mbili kama vile <a href=\"https:\/\/vibromera.eu\/sw\/bidhaa\/balanset-1\/\">Balancet-1A<\/a>: weka sensorer za kuongeza kasi, kamata spektri na 1\u00d7 awamu wakati zamu inaendelea, na soma mzunguko wa harmonic moja kwa moja dhidi ya jedwali la tafakari hapo juu \u2014 kisha sahihisha kutokuwa na usawa wowote uliobaki bila kuondoa rotor.<\/p>\n<h2 id=\"case-studies\">Masomo ya Matukio \u2014 Uchambuzi wa Harmonic Uliotendekeza<\/h2>\n<div class=\"example-block\">\n<div class=\"example-title\">Matukio 1: Motoka-Pampu \u2014 Je, ni Kutokuwa na Usawa au Kupotoka kwa Mstari?<\/div>\n<p><strong>Machine:<\/strong> Motoka ya 30 kW inaendesha pampu ya sentrifuji kwa RPM 2960 kupitia bidhaa yenye kubadilika. Vibration jumla: 6.2 mm\/s kwenye tochi ya kuvuta la motoka.<\/p>\n<p><strong>Spectrum:<\/strong> 1\u00d7 = 4.1 mm\/s, 2\u00d7 = 3.8 mm\/s, 3\u00d7 = 1.2 mm\/s. The 2\u00d7\/1\u00d7 ratio = 0.93.<\/p>\n<p><strong>Direction:<\/strong> High radial 2\u00d7 at both drive-end bearings. Axial 1\u00d7 at coupling: motor = 2.8 mm\/s, pump = 3.1 mm\/s with 165\u00b0 phase difference.<\/p>\n<p><strong>Diagnosis:<\/strong> Combined angular and parallel misalignment. The 2\u00d7\/1\u00d7 ratio approaching 1.0, high axial readings, and ~180\u00b0 phase across coupling all confirm. NOT unbalance \u2014 even though 1\u00d7 is elevated, the 2\u00d7 pattern is the real story.<\/p>\n<p><strong>Action:<\/strong> Laser alignment performed. Post-alignment: 1\u00d7 = 0.8 mm\/s, 2\u00d7 = 0.3 mm\/s. Overall dropped to 1.1 mm\/s \u2014 an 82% reduction.<\/p>\n<\/p><\/div>\n<div class=\"example-block\">\n<div class=\"example-title\">Matukio 2: Sherehe \u2014 Kwa Nini Balancing Haifanyi Kazi?<\/div>\n<p><strong>Machine:<\/strong> Sherehe ya sentrifuji kwa RPM 1480. Vibration: 8.5 mm\/s. Jaribu la balancing lililopita lilipunguza 1\u00d7 lakini vibration jumla ilibaki juu.<\/p>\n<p><strong>Spectrum:<\/strong> 1\u00d7 = 2.1 mm\/s (low after balancing), \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>Diagnosis:<\/strong> Mechanical looseness (Type B). The harmonic family with \u00bd\u00d7 sub-harmonic is the signature. Balancing corrected 1\u00d7 but couldn&#8217;t address the looseness-generated harmonics that dominate overall vibration.<\/p>\n<p><strong>Action:<\/strong> Ukaguzi ukaonyesha chumba cha kumfunga chombo 0.08 mm aliyefungama katika shimo la msaada. Nyumba iliyozuia na kumfunga mpya iliyowekwa. Baada ya kutengeneza: harmonic zote zilishuka hadi msingi. Jumla: 1.4 mm\/s.<\/p>\n<\/p><\/div>\n<div class=\"example-block\">\n<div class=\"example-title\">Matukio 3: Motoka ya Kusambaza \u2014 Umeme au Michakato?<\/div>\n<p><strong>Machine:<\/strong> Motoka ya induction ya pole 4, Hz 50 kwa RPM 1485 inaendesha kusambaza zamu. Vibration iliongezwa kutoka 2.0 hadi 5.5 mm\/s kwa miezi 3.<\/p>\n<p><strong>Spectrum:<\/strong> Dominant peak at 100 Hz (= 2FL). Also: 1\u00d7 at 24.75 Hz = 1.2 mm\/s, sidebands around 1\u00d7 at \u00b11.0 Hz spacing.<\/p>\n<p><strong>Key Test:<\/strong> Mkato wa umeme \u2014 kilele cha Hz 100 kilianguka hadi sifuri ndani ya mzunguko mmoja. Kando ya 1\u00d7 zilipitia wakati wa kuteremka.<\/p>\n<p><strong>Diagnosis:<\/strong> Two problems: (1) Electrical \u2014 stator eccentricity causing 2FL. (2) Mechanical \u2014 1\u00d7 sidebands at \u00b11.0 Hz (= pole pass frequency for 4-pole motor with 1.0% slip) suggest developing rotor bar defect.<\/p>\n<p><strong>Action:<\/strong> Motoka iletwa kwa kupinga upya. Kuthibitishwa: pau 2 za rotor iliyovunjwa + eccentricity ya stator kutoka sag ya msingi. Baada ya kupinga upya na kutengeneza: vibration 1.6 mm\/s.<\/p>\n<\/p><\/div>\n<div class=\"info-box success\">\n<div class=\"box-title\">Vifaa vya Vibromera kwa Uchambuzi wa Harmonic<\/div>\n<p>The <a href=\"https:\/\/vibromera.eu\/sw\/bidhaa\/balanset-1\/\">Balancet-1A<\/a> and <a href=\"https:\/\/vibromera.eu\/sw\/bidhaa\/balanset-4\/\">Balancet-4<\/a> kuandaa kwa wakati halisi <a href=\"https:\/\/vibromera.eu\/sw\/glossary\/fft\/\">Uchambuzi wa spektri wa FFT<\/a> with harmonic cursor tracking, enabling field identification of 1\u00d7, 2\u00d7, 3\u00d7 patterns and fault diagnosis. The devices combine vibration analysis for diagnostics and precision <a href=\"https:\/\/vibromera.eu\/sw\/glossary\/balancing\/\">kusawazisha<\/a> kwa kusahihisha \u2014 kutambua tatizo na kulitengeneza kwa chombo kimoja.<\/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\/sw\/glossary\/\">\u2190 Kurudi kwa Orodha ya Kalamu<\/a><\/p>\n<\/article>\n<p>      <!-- TOC SIDEBAR --><\/p>\n<aside class=\"toc-sidebar\">\n<div class=\"toc-box\">\n<h3>On This Page<\/h3>\n<p>          <a href=\"#calculator\">Kikokotozi cha Harmonic<\/a><br \/>\n          <a href=\"#diagnostic-cards\">Kadi za Muundo wa Hitilafu<\/a><br \/>\n          <a href=\"#diagnostic-table\">Jedwali la Tafakari<\/a><br \/>\n          <a href=\"#definition\">Definition<\/a><br \/>\n          <a href=\"#why-generated\">Why Generated<\/a><br \/>\n          <a class=\"sub\" href=\"#why-generated\">Nadharia ya Fourier<\/a><br \/>\n          <a class=\"sub\" href=\"#why-generated\">Mifumo halisi<\/a><br \/>\n          <a href=\"#fault-signatures\">Dalili za Arifa<\/a><br \/>\n          <a class=\"sub\" href=\"#fault-signatures\">1\u00d7 \u2014 Unbalance<\/a><br \/>\n          <a class=\"sub\" href=\"#fault-signatures\">2\u00d7 \u2014 Mlalo mbovu<\/a><br \/>\n          <a class=\"sub\" href=\"#fault-signatures\">Wengi \u00d7 \u2014 Kutokamata<\/a><br \/>\n          <a class=\"sub\" href=\"#fault-signatures\">Shimoni iliyokuwa na mkunjo, Magurudumu, Umeme<\/a><br \/>\n          <a href=\"#non-synchronous\">Kilele Kisichosambaza<\/a><br \/>\n          <a href=\"#analysis-guide\">Mwongozo wa Uchambuzi (Hatua 6)<\/a><br \/>\n          <a href=\"#case-studies\">Case Studies<\/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);\">Vifaa vya Vibromera<\/h3>\n<p style=\"color: rgba(255,255,255,0.6); font-size: 13px; margin-bottom: 12px;\">Uchambuzi wa wigo wa FFT wa karibuni + uzani sahihi katika chombo kimoja.<\/p>\n<p>          <a href=\"https:\/\/vibromera.eu\/sw\/bidhaa\/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\/sw\/bidhaa\/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>Uchambuzi wa Vibration Wenye Uzani na Uzani<\/h2>\n<p>Tambua mifumo ya harmonic na uzani wa rotor kwenye uwanja na vyombo vya karibuni vya Vibromera \u2014 wigo wa FFT, kipimo cha awamu, na uzani unaokidhi ISO katika chombo kimoja.<\/p>\n<p>    <a href=\"https:\/\/vibromera.eu\/sw\/shop\/\" class=\"cta-btn\">Tembelea Vifaa \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\/sw\/glossary\/\">\u2190 Rudi kwenye Kamusi<\/a> &nbsp;|&nbsp; <a href=\"https:\/\/vibromera.eu\/sw\/\">vibromera.eu<\/a><\/p>\n<\/p><\/div>\n<\/footer>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/sw\/glossary\/\">\u2190 Rudi kwenye Index ya Msingi<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Jifunze kuhusu harmoniki katika uchambuzi wa mtetemo. Elewa jinsi marudio haya ya integer ya mzunguko wa msingi yanavyozalishwa na yanayoashiria kuhusu hali ya mashine, kama vile kutokulingana na uleggevu.<\/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\/sw\/wp-json\/wp\/v2\/glossary\/136","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":5,"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/glossary\/136\/revisions"}],"predecessor-version":[{"id":101731,"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/glossary\/136\/revisions\/101731"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/media?parent=136"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/categories?post=136"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/sw\/wp-json\/wp\/v2\/tags?post=136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}