{"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\/tl\/glossary\/harmonics\/","title":{"rendered":"Ano ang mga Harmonic sa Vibration Analysis?"},"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: 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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\/tl\/\">Home<\/a> \u2192 <a href=\"https:\/\/vibromera.eu\/tl\/glossary\/\">Glossary<\/a> \u2192 Harmonics\n    <\/div>\n<h1>Understanding <span>Harmonics<\/span> sa Pagsusuri ng Vibrasyon<\/h1>\n<p class=\"subtitle\">Bakit lumalabas ang mga integer na multiple ng shaft speed sa mga vibration spectrum \u2014 at kung paano inihahayag ng pattern ng 1\u00d7, 2\u00d7, 3\u00d7\u2026 na mga harmonic ang tiyak na kalikasan ng mga depekto sa makinarya mula sa unbalance at misalignment hanggang sa looseness at mga 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balancer &#038; vibration analyzer na 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\">&euro;<\/span>1,975.00<\/span> + VAT (kung naaangkop)<\/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=\"\/tl\/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=\"\/tl\/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\/tl\/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\/tl\/product\/vibration-sensor\/\" title=\"Sensor ng vibraci\u00f3n\">\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 vibration sensor close-up\" 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\/tl\/product-category\/parts\/\" rel=\"tag\">Parts<\/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\/tl\/product\/vibration-sensor\/\" title=\"Sensor ng vibraci\u00f3n\">Sensor ng vibraci\u00f3n<\/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\">&euro;<\/span>90.00<\/span> + VAT (kung naaangkop)<\/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=\"\/tl\/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=\"\/tl\/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\/tl\/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\/tl\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optical Sensor (Laser Tachometer)\">\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=\"Optical Sensor (Laser Tachometer)\" 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\/tl\/product-category\/parts\/\" rel=\"tag\">Parts<\/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\/tl\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optical Sensor (Laser Tachometer)\">Optical Sensor (Laser Tachometer)<\/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\">&euro;<\/span>124.00<\/span> + VAT (kung naaangkop)<\/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=\"\/tl\/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=\"\/tl\/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\/tl\/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\/tl\/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 balancing kit: carrying case, multi-channel signal conditioner, handheld analyzer, magnetic base, mga vibration sensor, at mga coiled cable.\" 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\/tl\/product-category\/devices\/\" rel=\"tag\">Devices<\/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\/tl\/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\">&euro;<\/span>6,803.00<\/span> + VAT (kung naaangkop)<\/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=\"\/tl\/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=\"\/tl\/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\/tl\/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\/tl\/product\/magnet-stand\/\" title=\"Magnetic Stand 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=\"Magnet base.\" 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\/tl\/product-category\/parts\/\" rel=\"tag\">Parts<\/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\/tl\/product\/magnet-stand\/\" title=\"Magnetic Stand Insize-60-kgf\">Magnetic Stand 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\">&euro;<\/span>46.00<\/span> + VAT (kung naaangkop)<\/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=\"\/tl\/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=\"\/tl\/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\/tl\/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\/tl\/product\/reflective-tape\/\" title=\"Reflective tape\">\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=\"Reflective tape\" 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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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\/tl\/product-category\/devices\/\" rel=\"tag\">Devices<\/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\/tl\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dynamic balancer \u201cBalanset-1A\u201d OEM\">Dynamic balancer \u201cBalanset-1A\u201d 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\">&euro;<\/span>1,735.00<\/span> + VAT (kung naaangkop)<\/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=\"\/tl\/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=\"\/tl\/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 Harmonic Calculator<\/a><br \/>\n    <a href=\"#diagnostic-cards\">\ud83d\udcca Mga Pattern ng Sira<\/a><br \/>\n    <a href=\"#diagnostic-table\">\ud83d\udccb Talaang Diagnostic<\/a><br \/>\n    <a href=\"#definition\">\ud83d\udcd0 Kahulugan<\/a><br \/>\n    <a href=\"#why-generated\">\ud83d\udd22 Bakit Nalilikha<\/a><br \/>\n    <a href=\"#fault-signatures\">\ud83d\udd0d Mga Signature ng Sira<\/a><br \/>\n    <a href=\"#non-synchronous\">\u3030\ufe0f Hindi Synchronous<\/a><br \/>\n    <a href=\"#analysis-guide\">\ud83d\udee0 Gabay sa Pagsusuri<\/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\">Harmonic Frequency Calculator<\/h2>\n<p class=\"panel-subtitle\">Kalkulahin ang mga harmonic at karaniwang fault frequency para sa anumang shaft speed<\/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>Bilang ng mga Harmoniko<\/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>Bilang ng mga Blade\/Vane <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>Bilang ng Ngipin ng Ehe <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 (Europa \/ Asya)<\/option><option value=\"60\">60 Hz (Americas)<\/option><\/select>\n          <\/div>\n<div class=\"form-group\">\n            <label>Bilang ng Poste <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()\">Kalkulahin Ang Lahat ng Frequency \u2192<\/button>\n        <\/div>\n<\/p><\/div>\n<p>      <!-- Results --><\/p>\n<div class=\"results-panel\">\n<h2 class=\"panel-title\">Harmonic Spectrum<\/h2>\n<p class=\"panel-subtitle\">Visual na frequency map at kumpletong harmonic table<\/p>\n<div id=\"resultsArea\">\n<div class=\"results-empty\">\n            <span class=\"icon\">\ud83d\udcc8<\/span><br \/>\n            Ilagay ang shaft speed at pindutin ang Calculate<br \/>upang makita ang harmonic frequencies\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>Mga Pattern ng Fault Signature \u2014 Mabilis na Pagkakakilanlan<\/h2>\n<p>Bawat depekto sa makinarya ay nagpapakita ng katangiang harmonic pattern na nakikita sa <a href=\"https:\/\/vibromera.eu\/tl\/glossary\/spectrum\/\">spectrum ng vibrasyon<\/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\">Nangingibabaw na 1\u00d7 \u2014 malinaw, iisang tuktok<\/div>\n<div class=\"fc-body\"><strong>Pattern:<\/strong> Malakas na 1\u00d7 na may kaunting mga harmonic. Ang amplitude ay proporsyonal sa speed\u00b2. Ang phase ay matatag at paulit-ulit. <strong>Direction:<\/strong> Pangunahing radial vibration.<\/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\">Malakas na 2\u00d7 (at 3\u00d7) kumpara sa 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> Mataas na axial vibration sa 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\">Mechanical Looseness<\/div>\n<div class=\"fc-pattern\">Maraming harmonic: 1\u00d7, 2\u00d7, 3\u00d7, 4\u00d7\u2026 hanggang 10\u00d7+<\/div>\n<div class=\"fc-body\"><strong>Pattern:<\/strong> Mayamang pamilya ng mga harmonic na madalas may sub-harmonic (\u00bd\u00d7, \u2153\u00d7). Hindi matatag na phase. Mas maraming harmonic = mas malubhang looseness. <strong>Pangunahing tagapagpahiwatig:<\/strong> sub-harmonics na kasalukuyan.<\/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\">Non-synchronous peaks: BPFO, BPFI + harmonics<\/div>\n<div class=\"fc-body\"><strong>Pattern:<\/strong> Peaks at <a href=\"https:\/\/vibromera.eu\/tl\/glossary\/bearing-fault-frequencies\/\" style=\"color:var(--success)\">bearing fault frequencies<\/a> (hindi integer na multiple ng RPM). Mga harmonic ng fault freq + <a href=\"https:\/\/vibromera.eu\/tl\/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\">Electrical Faults<\/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) ang nangunguna. <strong>Rotor bars:<\/strong> 1\u00d7 na may mga sideband sa <a href=\"https:\/\/vibromera.eu\/tl\/glossary\/pole-pass-frequency\/\" style=\"color:var(--purple)\">pole pass frequency<\/a>. <strong>Test:<\/strong> Power cut \u2014 ang electrical vibration ay bumaba kaagad.<\/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\">Maraming harmoniko sa mataas na kaayusan + sub-harmoniko<\/div>\n<div class=\"fc-body\"><strong>Light rub:<\/strong> \u00bd\u00d7, 1\u00d7, at maraming harmonic hanggang 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 Kumpleto Harmonikong Pattern Diagnostic na Sanggunian<\/div>\n<table>\n<thead>\n<tr>\n<th>Kondisyon ng Falla<\/th>\n<th>Pangunahing Harmoniko<\/th>\n<th>Pattern ng Amplitude<\/th>\n<th>Direction<\/th>\n<th>Phase Behavior<\/th>\n<th>Nagpapanlakas na Katangian<\/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 lahat ng iba<\/td>\n<td>Radial<\/td>\n<td>Matatag; sumusunod sa mabigat na spot<\/td>\n<td>Malinis na iisang tuktok; proporsyonal sa speed\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>Mataas na axial 1\u00d7; hindi maaayos ng pagbabalanse<\/td>\n<\/tr>\n<tr>\n<td>Angular misalignment<\/td>\n<td class=\"mono\">1\u00d7 (axial)<\/td>\n<td>Mataas na axial 1\u00d7 sa coupling<\/td>\n<td>Axial dominant<\/td>\n<td>180\u00b0 sa coupling (axial)<\/td>\n<td>Axial 1\u00d7 sa coupling &gt; radial<\/td>\n<\/tr>\n<tr>\n<td>Parallel misalignment<\/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 na pangunahin<\/td>\n<td>180\u00b0 sa buong coupling (radial)<\/td>\n<td>Ang 2\u00d7 ratio sa 1\u00d7 ay diagnostic<\/td>\n<\/tr>\n<tr>\n<td>Pag-abot \u2014 struktural (Kaanyuan A)<\/td>\n<td class=\"mono\">1\u00d7<\/td>\n<td>Direksyonal \u2014 mas mataas sa maluwag na direksyon<\/td>\n<td>Directional<\/td>\n<td>Hindi matatag; maaaring maglakbay<\/td>\n<td>Nagbabago ang amplitude ayon sa bolt torque<\/td>\n<\/tr>\n<tr>\n<td>Pag-abot \u2014 umiikot (Kaanyuan B)<\/td>\n<td class=\"mono\">1\u00d7, 2\u00d7, 3\u00d7\u2026n\u00d7<\/td>\n<td>Mayamang serye ng harmoniko + \u00bd\u00d7<\/td>\n<td>Radial<\/td>\n<td>Hindi matatag; hindi matatag ang pag-uugali<\/td>\n<td>Ang mga sub-harmonic (\u00bd\u00d7, \u2153\u00d7) ay pangunahing nagtatangi<\/td>\n<\/tr>\n<tr>\n<td>Pag-abot \u2014 asento ng bearing (Kaanyuan C)<\/td>\n<td class=\"mono\">Maraming harmoniko + sub<\/td>\n<td>Pagtaas ng floor noise na may maraming tuktok<\/td>\n<td>Radial<\/td>\n<td>Very unstable<\/td>\n<td>Elevation ng broadband noise floor<\/td>\n<\/tr>\n<tr>\n<td>Soft foot<\/td>\n<td class=\"mono\">1\u00d7 + 2\u00d7<\/td>\n<td>Nagbabago ang 1\u00d7 ayon sa bolt torque<\/td>\n<td>Vertical dominant<\/td>\n<td>Nagbabago sa pag-tension ng bolt<\/td>\n<td>Nagbabago ang 1\u00d7 amplitude kapag iniluwag ang mga bolts nang isa-isa<\/td>\n<\/tr>\n<tr>\n<td>Pag-rub ng rotor (magaan, bahagyan)<\/td>\n<td class=\"mono\">\u00bd\u00d7, 1\u00d7, 2\u00d7\u2026n\u00d7<\/td>\n<td>Maraming high-order harmonics<\/td>\n<td>Radial<\/td>\n<td>Hindi regular; thermal drift<\/td>\n<td>\u00bd\u00d7 at \u2153\u00d7 sub-harmonics; thermal vector drift<\/td>\n<\/tr>\n<tr>\n<td>Pag-rub ng rotor (buong annular)<\/td>\n<td class=\"mono\">\u00bd\u00d7, \u2153\u00d7, \u00bc\u00d7 dominant<\/td>\n<td>Sub-harmonics &gt; 1\u00d7<\/td>\n<td>Radial<\/td>\n<td>Chaotic<\/td>\n<td>Sub-synchronous dominance; reverse precession<\/td>\n<\/tr>\n<tr>\n<td>Oil whirl<\/td>\n<td class=\"mono\">0.42\u20130.48\u00d7<\/td>\n<td>Sub-synchronous peak na konti lang sa ibaba ng \u00bd\u00d7<\/td>\n<td>Radial<\/td>\n<td>Forward precession<\/td>\n<td>Frequency tracks at ~0.43\u00d7 RPM; speed-dependent<\/td>\n<\/tr>\n<tr>\n<td>Oil whip<\/td>\n<td class=\"mono\">\u2248 1st critical<\/td>\n<td>Naka-lock sa 1st critical anuman ang bilis<\/td>\n<td>Radial<\/td>\n<td>Forward precession<\/td>\n<td>Frequency locks; catastrophic kung hindi aayusin<\/td>\n<\/tr>\n<tr>\n<td>Gear mesh<\/td>\n<td class=\"mono\">GMF, 2\u00d7GMF, 3\u00d7GMF<\/td>\n<td>GMF = #teeth \u00d7 RPM + sidebands<\/td>\n<td>Radial + Axial<\/td>\n<td>N\/A (pinilit)<\/td>\n<td>Sidebands sa shaft speed ay nagpapatukoy ng damaged gear<\/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 (pinilit)<\/td>\n<td>Normal; high amplitude = clearance o resonance issue<\/td>\n<\/tr>\n<tr>\n<td>Stator eccentricity<\/td>\n<td class=\"mono\">2FL (100\/120 Hz)<\/td>\n<td>2\u00d7 line frequency dominant<\/td>\n<td>Radial<\/td>\n<td>N\/A<\/td>\n<td>Agad na nawawala kapag pinutol ang kuryente<\/td>\n<\/tr>\n<tr>\n<td>Rotor bar defect<\/td>\n<td class=\"mono\">1\u00d7 na may pole pass sidebands<\/td>\n<td>Sidebands sa slip freq \u00d7 poles<\/td>\n<td>Radial<\/td>\n<td>Modulated<\/td>\n<td>Zoom around 1\u00d7 reveals evenly-spaced sidebands<\/td>\n<\/tr>\n<tr>\n<td>VFD-induced<\/td>\n<td class=\"mono\">Switching freq harmonics<\/td>\n<td>Non-synchronous peaks at PWM freq<\/td>\n<td>Radial<\/td>\n<td>N\/A<\/td>\n<td>Ang frequency ay hindi nakasalalay sa bilis ng 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 Sanggunian sa Sub-Harmonic at 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>Insufficient bearing load; excessive clearance; light shaft<\/td>\n<td><span class=\"tag high\">Kritikal \u2014 maaaring humantong sa 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>Rub, looseness (Type B\/C), cracked shaft (rare), belt issues<\/td>\n<td><span class=\"tag high\">Significant \u2014 investigate immediately<\/span><\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">\u2153\u00d7 (0.33\u00d7)<\/td>\n<td>Third-order sub<\/td>\n<td>Full annular rub; severe looseness; fluid-induced instability<\/td>\n<td><span class=\"tag high\">Severe \u2014 dangerous condition<\/span><\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">\u00bc\u00d7 (0.25\u00d7)<\/td>\n<td>Quarter-order sub<\/td>\n<td>Buong rub na may locked orbit; matinding kaluwagan<\/td>\n<td><span class=\"tag high\">Very severe \u2014 shutdown may be needed<\/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>Oil whirl na pinagsama sa unbalance<\/td>\n<td><span class=\"tag medium\">Monitor closely<\/span><\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">2.5\u00d7, 3.5\u00d7\u2026<\/td>\n<td>Half-order family<\/td>\n<td>Kaluwagan na may matinding bahagi ng rub<\/td>\n<td><span class=\"tag medium\">Combined fault mechanisms<\/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>Kahulugan: Ano ang Harmonic?<\/h2>\n<p>Sa vibration analysis, ang <strong>harmonic<\/strong> ay isang frequency na eksaktong integer multiple ng isang fundamental frequency. Sa mga rotating machinery, ang fundamental frequency ay karaniwang ang rotational speed ng shaft, na tinutukoy bilang 1st harmonic o <strong>1\u00d7<\/strong>. Ang mga kasunod na harmonics ay integer multiples: 2\u00d7 (dalawang beses ang bilis ng shaft), 3\u00d7 (tatlong beses), at iba pa. Ang mga frequency na ito ay tinatawag din na <em>orders<\/em> ng bilis ng pag-ikot, o <em>synchronous harmonics<\/em> dahil eksaktong naka-synchronize ang mga ito sa pag-ikot ng shaft.<\/p>\n<p>Halimbawa, kung ang isang motor ay gumagana sa 1,800 RPM (30 Hz), ang mga harmonics nito ay lumalabas sa 60 Hz (2\u00d7), 90 Hz (3\u00d7), 120 Hz (4\u00d7), 150 Hz (5\u00d7), at iba pa. Ang harmonic series ay theoretically walang katapusan, ngunit sa praktika, bumababa ang amplitude sa mas mataas na mga order at ang unang ilang harmonics lamang ang nagtataglay ng diagnostic na impormasyon.<\/p>\n<div class=\"formula-box\">\n<div class=\"formula-label\">Harmonic Frequency Definition<\/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\">kung saan n = 1, 2, 3, 4\u2026 (harmonic order) at f\u2081 = rotational frequency ng shaft sa Hz<\/div>\n<\/p><\/div>\n<div class=\"info-box\">\n<div class=\"box-title\">Harmonics vs. Sub-Harmonics vs. Non-Synchronous Peaks<\/div>\n<p><strong>Harmonics<\/strong> ay mga integer multiple ng bilis ng shaft (2\u00d7, 3\u00d7, 4\u00d7\u2026). <strong>Sub-harmonics<\/strong> ay mga fractional multiple (\u00bd\u00d7, \u2153\u00d7, \u00bc\u00d7) at palaging nagpapahiwatig ng malubhang mekanikal na problema. <strong>Non-synchronous peaks<\/strong> ay mga frequency na walang kaugnayan sa bilis ng shaft \u2014 tulad ng <a href=\"https:\/\/vibromera.eu\/tl\/glossary\/bearing-fault-frequencies\/\">bearing fault frequencies<\/a>, gear mesh frequencies, line frequency (50\/60 Hz), or <a href=\"https:\/\/vibromera.eu\/tl\/glossary\/natural-frequency\/\">natural frequencies<\/a> \u2014 at nangangailangan ng iba't ibang paraan ng diagnosis. Ang isang peak sa 3.57\u00d7 RPM ay HINDI isang harmonic; malamang na ito ay isang bearing fault frequency.<\/p>\n<\/p><\/div>\n<h2 id=\"why-generated\">Why Are Harmonics Generated?<\/h2>\n<p>Sa isang perpektong linear na sistema na inuudyukan ng isang purong sinusoidal na puwersa (tulad ng isang perpektong balanseng, perpektong nakahanay na rotor sa mga perpektong bearing), ang 1\u00d7 fundamental lamang ang lalabas. Ang tunay na makinarya ay hindi kailanman perpektong linear. Lumalabas ang mga harmonics sa tuwing naiiba ang anyo ng vibration waveform mula sa isang purong sine wave \u2014 sa tuwing ang response ng sistema ay <em>non-linear<\/em> o ang forcing function mismo ay hindi sinusoidal.<\/p>\n<h3>Ang Matematika: Teorema ni Fourier&#8217;s<\/h3>\n<p><strong>Fourier's theorem<\/strong> ay nagsasaad na ang anumang periodic waveform \u2014 gaano man ito ka-kumplikado \u2014 ay maaaring i-decompose sa kabuuan ng mga sine wave sa fundamental frequency at sa mga integer multiple nito, bawat isa ay may tiyak na amplitude at phase. Ang FFT (Fast Fourier Transform) algorithm na ginagamit ng mga vibration analyzer ay nagdadala ng ganitong decomposition nang computationally, inilalantad ang harmonic content ng signal.<\/p>\n<p>Ang isang purong sine wave ay mayroon lamang isang solong frequency component. Ang isang square wave ay naglalaman ng lahat ng odd harmonics (1\u00d7, 3\u00d7, 5\u00d7, 7\u00d7\u2026) na may mga amplitude na bumababa bilang 1\/n. Ang isang sawtooth wave ay naglalaman ng lahat ng harmonics na may mga amplitude na bumababa bilang 1\/n. Ang tiyak na hugis ng distorsyon ang nagtatakda kung aling mga harmonics ang lalabas \u2014 ito ang dahilan kung bakit napakakapaki-pakinabang ng harmonic analysis sa diagnosis.<\/p>\n<h3>Mga Pisikal na Mekanismo na Naglilikha ng mga Harmonics<\/h3>\n<ul>\n<li><strong>Pag-clip \/ truncation ng waveform:<\/strong> Kapag ang galaw ng shaft ay pisikal na pinigilan (bearing housing, rub contact), ang resultang waveform ay na-clip, na nagpo-produce ng mga harmonics. Ang mas matinding clipping ay nagpo-produce ng mas maraming harmonics.<\/li>\n<li><strong>Asymmetric na katatagan:<\/strong> Kung ang stiffness ng sistema ay magkaiba sa pagitan ng positibo at negatibong kalahati ng vibration cycle (pagbubukas\/pagsasara ng bitak sa shaft, misalignment na lumilikha ng magkaibang stiffness sa tension\/compression), nabubuo ang mga even harmonics (2\u00d7, 4\u00d7, 6\u00d7).<\/li>\n<li><strong>Impact events:<\/strong> Ang mga pana-panahong benturahan (maluwag na bolts, mga benturahan mula sa bearing defect) ay lumilikha ng matulis, maikling waveform na lubhang mayaman sa harmonic content \u2014 tulad ng paraan kung paano nagpo-produce ng maraming overtone ang drum stick.<\/li>\n<li><strong>Non-linear restoring forces:<\/strong> Kapag nagbabago ang stiffness ayon sa displacement (mga bearing sa ilalim ng nagbabagong load, progressive-rate rubber mounts), ang tugon sa isang sinusoidal na puwersa ay naglalaman ng mga harmonics.<\/li>\n<li><strong>Parametric excitation:<\/strong> Kapag ang mga katangian ng sistema ay pana-panahong nagbabago sa isang frequency na may kaugnayan sa bilis ng shaft, maaari itong makabuo ng mga harmonics at sub-harmonics ng excitation frequency.<\/li>\n<\/ul>\n<div class=\"info-box success\">\n<div class=\"box-title\">Ang Pangunahing Prinsipyo ng Diagnostics<\/div>\n<p>Ang pattern ng kung aling mga harmonics ang naroroon, ang kanilang relatibong mga amplitude, at kung alin ang wala ay nagsasabi sa analyst kung anong pisikal na mekanismo ang bumubuo ng non-linearity. Sinusuri ng mga bihasang analyst ang kumpletong harmonic na istraktura ng spectrum \u2014 hindi lamang ang kabuuang antas ng vibration \u2014 upang matukoy ang mga tiyak na mekanismo ng depekto.<\/p>\n<\/p><\/div>\n<h2 id=\"fault-signatures\">Detalyadong Fault Signatures \u2014 Harmonic Patterns<\/h2>\n<h3>1\u00d7 Dominant \u2014 Unbalance<\/h3>\n<p>Ang nangingibabaw na peak sa 1\u00d7 na may minimal na mas mataas na harmonics ay ang klasikong signature ng <strong><a href=\"https:\/\/vibromera.eu\/tl\/glossary\/unbalance\/\">mass unbalance<\/a><\/strong>. Ang puwersa ng unbalance ay likas na sinusoidal (ito ay umiikot kasabay ng shaft sa 1\u00d7 frequency), na nagpo-produce ng malinis na iisang peak sa frequency domain.<\/p>\n<h4>Diagnostic Details<\/h4>\n<ul>\n<li><strong>Amplitude:<\/strong> Proporsyonal sa speed\u00b2 (doble ang bilis \u2192 4\u00d7 amplitude) at proporsyonal sa unbalance mass<\/li>\n<li><strong>Phase:<\/strong> Matatag, mauulit, iisang halaga. Nagbabago nang mahulaaan sa pagdaragdag ng trial weight \u2014 ito ang pundasyon ng lahat ng <a href=\"https:\/\/vibromera.eu\/tl\/glossary\/balancing\/\">mga pamamaraan ng balanseo<\/a><\/li>\n<li><strong>Direction:<\/strong> Pangunahing radial; mababa ang axial 1\u00d7 maliban kung ang rotor ay may malaking overhang<\/li>\n<li><strong>Confirmation:<\/strong> Kumpirmahan ng tugon sa mga trial weight ang unbalance. Kung hindi tumutugon ang 1\u00d7 sa mga trial weight, isaalang-alang ang bent shaft, eccentricity, o resonance<\/li>\n<\/ul>\n<div class=\"info-box warning\">\n<div class=\"box-title\">Hindi Lahat ng 1\u00d7 Vibration ay Unbalance<\/div>\n<p>Ilang kondisyon ang nagpo-produce ng mataas na 1\u00d7 na HINDI maitutuwid sa pamamagitan ng balancing: bent shaft, shaft eccentricity, electrical runout sa mga proximity probe, rotor bow mula sa thermal na epekto, coupling eccentricity, at <a href=\"https:\/\/vibromera.eu\/tl\/glossary\/resonance\/\">resonance<\/a> amplification. Palaging i-verify ang diagnosis bago subukang mag-balance.<\/p>\n<\/p><\/div>\n<h3>2\u00d7 Dominant \u2014 Misalignment<\/h3>\n<p>Ang malakas na 2nd harmonic, na kadalasang maihahambing sa amplitude ng o lumalagpas sa 1\u00d7 peak, ay ang pangunahing tagapagpahiwatig ng <strong><a href=\"https:\/\/vibromera.eu\/tl\/glossary\/misalignment\/\">misalignment ng shaft<\/a><\/strong>. Pinipilit ng misalignment ang shaft na dumaan sa isang hindi sinusoidal na landas sa bawat ikot, na lumilikha ng distorsyon na bumubuo ng 2\u00d7 at minsan ng mas mataas na harmonics.<\/p>\n<h4>Angular vs. Parallel Misalignment<\/h4>\n<ul>\n<li><strong>Angular misalignment:<\/strong> Nagtatagpo ang mga centerline ng shaft sa isang anggulo sa coupling. Nagpo-produce ng mataas na 1\u00d7 axial vibration. Ipinapakita ng phase sa buong coupling ang halos 180\u00b0 na pagbabago sa axial na direksyon.<\/li>\n<li><strong>Parallel (offset) misalignment:<\/strong> Ang mga centerline ng shaft ay magkaparalelo ngunit may offset. Nagpo-produce ng mataas na 2\u00d7 radial vibration, kadalasang may 2\u00d7 \u2265 1\u00d7. Sa matitinding kaso, nabubuo ang 3\u00d7 at 4\u00d7. Ipinapakita ng radial phase sa buong coupling ang halos 180\u00b0 na pagbabago.<\/li>\n<li><strong>Combined:<\/strong> Sa katotohanan, ang dalawa ay kadalasang magkasamang naroroon, na nagpo-produce ng pinagsamang mga signature.<\/li>\n<\/ul>\n<h4>Ang 2\u00d7\/1\u00d7 Ratio bilang Diagnostic Indicator<\/h4>\n<table class=\"article-table\">\n<thead>\n<tr>\n<th>2\u00d7\/1\u00d7 Ratio<\/th>\n<th>Likely Condition<\/th>\n<th>Action<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"mono\">&lt; 0.25<\/td>\n<td>Normal; ang 2\u00d7 ay naroroon sa mababang antas sa karamihan ng mga makina<\/td>\n<td>No action required<\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">0.25 \u2013 0.50<\/td>\n<td>Posibleng mahinang misalignment; normal para sa ilang uri ng coupling<\/td>\n<td>Suriin ang alignment; ikumpara sa baseline<\/td>\n<\/tr>\n<tr>\n<td class=\"mono\">0.50 \u2013 1.00<\/td>\n<td>Significant misalignment probable<\/td>\n<td>Perform precision laser alignment<\/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>Kagyat \u2014 i-realign; suriin ang coupling at pipe strain<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>Multiple Harmonics \u2014 Mechanical Looseness<\/h3>\n<p>Isang mayamang serye ng <a href=\"https:\/\/vibromera.eu\/tl\/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>mechanical looseness<\/strong>. Ang mga impact, pag-kagalaw, at mga siklo ng hindi-linear na contact\/separation ay nagdudulot ng matinding distorsyon ng waveform na naghihiwalay sa maraming harmonic na bahagi.<\/p>\n<h4>Three Types of Looseness<\/h4>\n<ul>\n<li><strong>Type A \u2014 Structural:<\/strong> Maluwag na koneksyon ng makina sa pundasyon (soft foot, bitak sa base, maluwag na anchor bolts). Nagdudulot ng direksyonal na 1\u00d7 (mas mataas sa maluwag na direksyon). Pangunahing pagsubok: higpitan\/luwagan ang bawat bolt habang sinusubaybayan ang amplitud ng 1\u00d7.<\/li>\n<li><strong>Uri B \u2014 Bahagi:<\/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>Type C \u2014 Bearing seat:<\/strong> Maluwag na impeller sa shaft, maluwag na coupling hub, labis na clearance ng bearing na nagpapahintulot sa rotor na tumalon. Nagdudulot ng maraming harmonics na may pagtaas ng broadband noise floor.<\/li>\n<\/ul>\n<div class=\"info-box\">\n<div class=\"box-title\">Mga Sub-Harmonic: Ang Fingerprint ng Kaluwagan<\/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>Other Harmonic-Generating Conditions<\/h3>\n<h4>Bent Shaft<\/h4>\n<p>Nagdudulot ng parehong 1\u00d7 at 2\u00d7 na vibration na may mataas na axial na bahagi. Hindi tulad ng misalignment, ang <a href=\"https:\/\/vibromera.eu\/tl\/glossary\/bent-shaft\/\">bent shaft<\/a> nagpapakita ng 1\u00d7 na hindi maaaring iwasto sa pamamagitan ng balancing (geometric eccentricity, hindi mass distribution) at ~180\u00b0 na pagkakaiba ng axial phase sa pagitan ng mga dulo ng shaft. Ang 2\u00d7 ay nagmumula sa asymmetric na stiffness habang ang bend ay bumubukas at nagsasara sa panahon ng pag-ikot.<\/p>\n<h4>Reciprocating Machinery<\/h4>\n<p>Ang mga engine, compressor, at reciprocating na makina ay likas na nagdudulot ng mayamang harmonic na spectra dahil ang galaw ng piston\/crankshaft ay pundamental na hindi sinusoidal. Ang harmonic na pattern ay nakasalalay sa bilang ng silindro, firing order, at uri ng stroke (2-stroke kumpara sa 4-stroke).<\/p>\n<h4>Rotor Rub<\/h4>\n<p>Ang partial rub (contact sa isang bahagi ng bawat ikot) ay nagdudulot ng maraming mataas na order na harmonics \u2014 minsan hanggang 10\u00d7, 20\u00d7, o higit pa. Ang full annular rub (tuluy-tuloy na 360\u00b0 na contact) ay nagdudulot ng nangingibabaw na mga sub-harmonic (\u00bd\u00d7, \u2153\u00d7, \u00bc\u00d7) sa pamamagitan ng mga mekanismo ng reverse precession.<\/p>\n<h4>Electrical Issues in Motors<\/h4>\n<p>Ang mga AC motor ay nagdudulot ng vibration sa mga multiplo ng line frequency (50 o 60 Hz) nang malaya sa shaft speed. Ang pinaka-karaniwan ay 2\u00d7 na line frequency (100 Hz sa 50 Hz na sistema, 120 Hz sa 60 Hz na sistema). ITO AY HINDI isang harmonic ng shaft speed \u2014 ito ay isang harmonic ng line frequency, na siyang susi sa pagkilala ng electrical mula sa mechanical na vibration. Ang <strong>power cut test<\/strong> ay tiyak: ang electrical na vibration ay agad na bumababa kapag inalis ang kuryente, ang mechanical na vibration ay nananatili sa panahon ng coast-down.<\/p>\n<p>Ang mga depekto sa rotor bar ay nagdudulot ng mga sideband sa paligid ng 1\u00d7 na nakahanay sa pole pass frequency (<a href=\"https:\/\/vibromera.eu\/tl\/glossary\/slip-frequency\/\">slip frequency<\/a> \u00d7 bilang ng mga pole). Ang mga sideband na ito ay napakalapit sa 1\u00d7 (sa loob ng 1\u20135 Hz), na nangangailangan ng mataas na resolusyon na <a href=\"https:\/\/vibromera.eu\/tl\/glossary\/zoom-fft\/\">zoom FFT<\/a> analysis to resolve.<\/p>\n<h2 id=\"non-synchronous\">Non-Synchronous Frequencies \u2014 Not True Harmonics<\/h2>\n<p>Ilang mahahalagang frequency ay kung minsan ay nalilito sa mga harmonic ngunit talagang malaya sa shaft speed:<\/p>\n<table class=\"article-table\">\n<thead>\n<tr>\n<th>Frequency Type<\/th>\n<th>Formula<\/th>\n<th>Relasyon sa RPM<\/th>\n<th>Notes<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Mga frequency ng depekto sa bearing<\/td>\n<td class=\"mono\"><a href=\"https:\/\/vibromera.eu\/tl\/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\/tl\/glossary\/gear-mesh-frequency\/\">Gear mesh frequency<\/a><\/td>\n<td class=\"mono\">GMF = #teeth \u00d7 RPM<\/td>\n<td>Integer ngunit napakataas na order<\/td>\n<td>Technically a harmonic but analyzed separately<\/td>\n<\/tr>\n<tr>\n<td>Blade\/vane pass<\/td>\n<td class=\"mono\">BPF = #blades \u00d7 RPM<\/td>\n<td>Integer multiple<\/td>\n<td>Normal; excessive amplitude indicates problem<\/td>\n<\/tr>\n<tr>\n<td>Line frequency<\/td>\n<td class=\"mono\">FL = 50 o 60 Hz<\/td>\n<td>Not related to RPM<\/td>\n<td>Elektrikal; nawawala kapag pinutol ang kuryente<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/vibromera.eu\/tl\/glossary\/natural-frequency\/\">Natural frequencies<\/a><\/td>\n<td class=\"mono\">f<sub>n<\/sub> = \u221a(k\/m)\/2\u03c0<\/td>\n<td>Nakatakda; walang kaugnayan sa RPM<\/td>\n<td>Pare-parehong frequency anuman ang pagbabago ng bilis<\/td>\n<\/tr>\n<tr>\n<td>Belt frequencies<\/td>\n<td class=\"mono\">f<sub>belt<\/sub> = RPM\u00d7\u03c0\u00d7D\/L<\/td>\n<td>Sub-synchronous (&lt; shaft speed)<\/td>\n<td>Frequency ng belt at ang mga harmonic nito 2\u00d7, 3\u00d7, 4\u00d7 BF<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"analysis-guide\">Gabay sa Pagsusuri \u2014 Paano Bigyang-Kahulugan ang mga Harmonic Pattern<\/h2>\n<h3>Hakbang 1: Tukuyin ang Fundamental (1\u00d7)<\/h3>\n<p>Hanapin ang 1\u00d7 peak na tumutugma sa rotational speed ng shaft. I-verify gamit ang isang <a href=\"https:\/\/vibromera.eu\/tl\/glossary\/tachometer\/\">tachometer<\/a> o nameplate ng motor. Sa mga makina na may variable speed, ang 1\u00d7 ay dapat tukuyin nang tumpak para sa bawat sukat.<\/p>\n<h3>Hakbang 2: Katalogo Lahat ng Peaks<\/h3>\n<p>Para sa bawat makabuluhang peak, tukuyin: ito ba ay eksaktong integer multiple ng 1\u00d7 (tunay na harmonic)? Fractional multiple (sub-harmonic)? Walang kaugnayan sa bilis ng shaft (non-synchronous)? Gamitin ang harmonic cursor features ng analyzer para sa kahusayan.<\/p>\n<h3>Hakbang 3: Suriin ang Amplitude Pattern<\/h3>\n<ul>\n<li>Alin na harmonic ang nangingibabaw? \u2192 Nagtaturo sa tiyak na depekto<\/li>\n<li>Ilang harmonics ang naroroon? \u2192 Mas marami = mas malubhang distorsyon<\/li>\n<li>Does 2\u00d7 exceed 1\u00d7? \u2192 Likely misalignment<\/li>\n<li>May mga sub-harmonic ba? \u2192 Looseness, rub, o <a href=\"https:\/\/vibromera.eu\/tl\/glossary\/oil-whirl\/\">oil whirl<\/a><\/li>\n<li>Bumababa ba ang amplitude ayon sa order (1\/n decay)? \u2192 Katangian ng looseness<\/li>\n<\/ul>\n<h3>Hakbang 4: Tingnan ang Directionality<\/h3>\n<ul>\n<li><strong>Mataas na radial, mababa ang axial:<\/strong> Unbalance o looseness<\/li>\n<li><strong>High axial:<\/strong> Misalignment (especially angular) o bent shaft<\/li>\n<li><strong>Directional radial:<\/strong> Structural looseness (mas mataas sa maluwag na direksyon)<\/li>\n<\/ul>\n<h3>Hakbang 5: Trend Over Time<\/h3>\n<ul>\n<li>Tumataas ba ang mga harmonic amplitude? \u2192 Umuusad ang depekto<\/li>\n<li>May mga bagong harmonic na lumalabas? \u2192 Nagkakaroon ng bagong mekanismo ng depekto<\/li>\n<li>Tumataas ba ang noise floor? \u2192 Pangkalahatang pagkasira o late-stage failure<\/li>\n<\/ul>\n<h3>Hakbang 6: I-correlate sa Phase Data<\/h3>\n<ul>\n<li><strong>Unbalance:<\/strong> Ang 1\u00d7 phase ay stable at paulit-ulit<\/li>\n<li><strong>Misalignment:<\/strong> 1\u00d7 or 2\u00d7 phase shows ~180\u00b0 across coupling<\/li>\n<li><strong>Looseness:<\/strong> Ang phase ay hindi stable, maaaring mag-shift nang random sa pagitan ng mga sukat<\/li>\n<\/ul>\n<p>Sa praktika, ang lahat ng anim na hakbang ay maaaring isagawa sa site gamit ang isang portable na dalawang-channel na instrumento tulad ng <a href=\"https:\/\/vibromera.eu\/tl\/product\/balanset-1\/\">Balanset-1A<\/a>: i-mount ang mga accelerometer, kunin ang spectrum at 1\u00d7 phase habang tumatakbo ang makina, at basahin ang harmonic pattern nang direkta laban sa diagnostic table sa itaas \u2014 pagkatapos ay itama ang anumang residual unbalance nang hindi tinatanggal ang rotor.<\/p>\n<h2 id=\"case-studies\">Case Studies \u2014 Real-World Harmonic Analysis<\/h2>\n<div class=\"example-block\">\n<div class=\"example-title\">Kaso 1: Motor-Pump \u2014 Unbalance ba ito o Misalignment?<\/div>\n<p><strong>Machine:<\/strong> 30 kW motor driving centrifugal pump at 2960 RPM via flexible coupling. Overall vibration: 6.2 mm\/s at motor drive-end bearing.<\/p>\n<p><strong>Spectrum:<\/strong> 1\u00d7 = 4.1 mm\/s, 2\u00d7 = 3.8 mm\/s, 3\u00d7 = 1.2 mm\/s. Ang 2\u00d7\/1\u00d7 ratio = 0.93.<\/p>\n<p><strong>Direction:<\/strong> Mataas na radial 2\u00d7 sa parehong drive-end bearing. Axial 1\u00d7 sa coupling: motor = 2.8 mm\/s, pump = 3.1 mm\/s na may 165\u00b0 phase difference.<\/p>\n<p><strong>Diagnosis:<\/strong> Pinagsanib na angular at parallel misalignment. Ang 2\u00d7\/1\u00d7 ratio na papalapit sa 1.0, mataas na axial readings, at ~180\u00b0 phase sa buong coupling ay nagpapatunay. HINDI unbalance \u2014 kahit mataas ang 1\u00d7, ang 2\u00d7 pattern ang tunay na kwento.<\/p>\n<p><strong>Action:<\/strong> Isinagawa ang laser alignment. Pagkatapos ng alignment: 1\u00d7 = 0.8 mm\/s, 2\u00d7 = 0.3 mm\/s. Bumaba ang kabuuan sa 1.1 mm\/s \u2014 82% na pagbaba.<\/p>\n<\/p><\/div>\n<div class=\"example-block\">\n<div class=\"example-title\">Kaso 2: Fan \u2014 Bakit Hindi Gumagana ang Balancing?<\/div>\n<p><strong>Machine:<\/strong> Centrifugal na ventilador sa 1480 RPM. Vibration: 8.5 mm\/s. Ang nakaraang pagsubok sa pag-balance ay nabawasan ang 1\u00d7 ngunit ang pangkalahatang vibration ay nananatiling mataas.<\/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). Ang harmonic family na may \u00bd\u00d7 sub-harmonic ang signature. Itinama ng balancing ang 1\u00d7 ngunit hindi nito matugunan ang mga harmonic na dulot ng looseness na nangingibabaw sa kabuuang vibration.<\/p>\n<p><strong>Action:<\/strong> Natuklasan sa inspeksyon na ang bearing housing ay 0.08 mm na maluwag sa pedestal bore. Ang housing ay na-rebore at naglagay ng bagong bearing. Pagkatapos ng pagkukumpuni: bumaba ang lahat ng harmonic sa baseline. Kabuuan: 1.4 mm\/s.<\/p>\n<\/p><\/div>\n<div class=\"example-block\">\n<div class=\"example-title\">Case 3: Compressor Motor \u2014 Electrical o Mechanical?<\/div>\n<p><strong>Machine:<\/strong> 4-pole, 50 Hz induction motor sa 1485 RPM na nagpapatakbo ng screw compressor. Tumaas ang vibration mula 2.0 hanggang 5.5 mm\/s sa loob ng 3 buwan.<\/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> Pinutol ang kuryente \u2014 ang 100 Hz peak ay bumaba sa zero sa loob ng isang ikot. Ang mga 1\u00d7 sideband ay nanatili sa panahon ng coast-down.<\/p>\n<p><strong>Diagnosis:<\/strong> Dalawang problema: (1) Elektrikal \u2014 stator eccentricity na nagdudulot ng 2FL. (2) Mekanikal \u2014 1\u00d7 sidebands sa \u00b11.0 Hz (= pole pass frequency para sa 4-pole motor na may 1.0% slip) ay nagmumungkahi ng umuusbong na depekto sa rotor bar.<\/p>\n<p><strong>Action:<\/strong> Ang motor ay ipinadala para sa rewinding. Nakumpirma: 2 sirang rotor bar + stator eccentricity mula sa base sag. Pagkatapos ng rewind at shimming: vibration 1.6 mm\/s.<\/p>\n<\/p><\/div>\n<div class=\"info-box success\">\n<div class=\"box-title\">Kagamitan ng Vibromera para sa Harmonic Analysis<\/div>\n<p>The <a href=\"https:\/\/vibromera.eu\/tl\/product\/balanset-1\/\">Balanset-1A<\/a> and <a href=\"https:\/\/vibromera.eu\/tl\/product\/balanset-4\/\">Balanset-4<\/a> magbigay ng real-time <a href=\"https:\/\/vibromera.eu\/tl\/glossary\/fft\/\">FFT spectrum analysis<\/a> na may harmonic cursor tracking, na nagbibigay-daan sa field na pagtukoy ng mga pattern na 1\u00d7, 2\u00d7, 3\u00d7 at diagnosis ng depekto. Pinagsasama ng mga device ang vibration analysis para sa diagnostics at katumpakang <a href=\"https:\/\/vibromera.eu\/tl\/glossary\/balancing\/\">balancing<\/a> para sa pagwawasto \u2014 pagtukoy ng problema at pag-aayos nito gamit ang isang instrumento.<\/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\/tl\/glossary\/\">\u2190 Bumalik sa Glossary Index<\/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\">Harmonic Calculator<\/a><br \/>\n          <a href=\"#diagnostic-cards\">Fault Pattern Cards<\/a><br \/>\n          <a href=\"#diagnostic-table\">Diagnostic Table<\/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\">Fourier&#8217;s Theorem<\/a><br \/>\n          <a class=\"sub\" href=\"#why-generated\">Physical Mechanisms<\/a><br \/>\n          <a href=\"#fault-signatures\">Fault Signatures<\/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 Misalignment<\/a><br \/>\n          <a class=\"sub\" href=\"#fault-signatures\">Many \u00d7 \u2014 Looseness<\/a><br \/>\n          <a class=\"sub\" href=\"#fault-signatures\">Bent Shaft, Rub, Electrical<\/a><br \/>\n          <a href=\"#non-synchronous\">Non-Synchronous Peaks<\/a><br \/>\n          <a href=\"#analysis-guide\">Analysis Guide (6 Steps)<\/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);\">Vibromera Equipment<\/h3>\n<p style=\"color: rgba(255,255,255,0.6); font-size: 13px; margin-bottom: 12px;\">Portable na FFT spectrum analysis + katumpakang balancing sa isang device.<\/p>\n<p>          <a href=\"https:\/\/vibromera.eu\/tl\/product\/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\/tl\/product\/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>Professional Vibration Analysis &amp; Balancing<\/h2>\n<p>I-diagnose ang mga harmonic pattern at i-balance ang mga rotor sa field gamit ang mga portable na device ng Vibromera&#8217;s \u2014 FFT spectrum, pagsukat ng phase, at ISO-compliant na balancing sa isang instrumento.<\/p>\n<p>    <a href=\"https:\/\/vibromera.eu\/tl\/shop\/\" class=\"cta-btn\">Tuklasin ang Equipment \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\/tl\/glossary\/\">\u2190 Bumalik sa Glossary<\/a> &nbsp;|&nbsp; <a href=\"https:\/\/vibromera.eu\/tl\/\">vibromera.eu<\/a><\/p>\n<\/p><\/div>\n<\/footer>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/tl\/glossary\/\">\u2190 Bumalik sa Pangunahing Index<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Matuto tungkol sa mga harmonics sa vibration analysis. Unawain kung paano nalilikha ang mga integer multiple ng isang pangunahing frequency at kung ano ang ipinapahiwatig ng mga ito tungkol sa kalusugan ng makina, tulad ng misalignment at looseness.<\/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\/tl\/wp-json\/wp\/v2\/glossary\/136","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/tl\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/tl\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":5,"href":"https:\/\/vibromera.eu\/tl\/wp-json\/wp\/v2\/glossary\/136\/revisions"}],"predecessor-version":[{"id":101731,"href":"https:\/\/vibromera.eu\/tl\/wp-json\/wp\/v2\/glossary\/136\/revisions\/101731"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/tl\/wp-json\/wp\/v2\/media?parent=136"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/tl\/wp-json\/wp\/v2\/categories?post=136"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/tl\/wp-json\/wp\/v2\/tags?post=136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}