{"id":148,"date":"2025-10-31T00:25:51","date_gmt":"2025-10-31T00:25:51","guid":{"rendered":"https:\/\/vibromera.eu\/glossary\/integration\/"},"modified":"2026-05-23T22:43:41","modified_gmt":"2026-05-23T22:43:41","slug":"integration","status":"publish","type":"glossary","link":"https:\/\/vibromera.eu\/ht\/glossary\/integration\/","title":{"rendered":"What is Integration in Vibration? Signal Conversion"},"content":{"rendered":"<h1>Understanding Integration in Vibration Analysis<\/h1>\n\t\t<section class=\"woocommerce hestia-shop products is-shortcode\" id=\"products\" data-sorder=\"hestia_shop\" >\n\t\t\t\t\t\t<div class=\"\">\n\t\t\t\t\t\t<div class=\"hestia-shop-content\">\n\t\t\t<div class=\"row\" data-aos=\"fade-up\" >\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/ht\/product\/balanset-1\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/ht\/product\/balanset-1\/\" title=\"Portable balancer &#038; Vibration analyzer Balanset-1A\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Balanset-1A full kit portable balancer and vibration analyzer\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-18x12.webp 18w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-272x182.webp 272w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/ht\/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\/ht\/product\/balanset-1\/\" title=\"Portable balancer &#038; Vibration analyzer Balanset-1A\">Portable balancer &#038; Vibration analyzer 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 (if applicable)<\/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=\"\/ht\/wp-json\/wp\/v2\/glossary\/148?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=\"\/ht\/wp-json\/wp\/v2\/glossary\/148?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\/ht\/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\/ht\/product\/vibration-sensor\/\" title=\"Vibration sensor\">\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\/ht\/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\/ht\/product\/vibration-sensor\/\" title=\"Vibration sensor\">Vibration sensor<\/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 (if applicable)<\/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=\"\/ht\/wp-json\/wp\/v2\/glossary\/148?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=\"\/ht\/wp-json\/wp\/v2\/glossary\/148?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\/ht\/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\/ht\/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\/ht\/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\/ht\/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 (if applicable)<\/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=\"\/ht\/wp-json\/wp\/v2\/glossary\/148?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=\"\/ht\/wp-json\/wp\/v2\/glossary\/148?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\/ht\/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\/ht\/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: carry case, multi-channel signal conditioner, handheld analyzer, magnetic base, vibration sensors, and coiled cables.\" 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\/ht\/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\/ht\/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 (if applicable)<\/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=\"\/ht\/wp-json\/wp\/v2\/glossary\/148?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=\"\/ht\/wp-json\/wp\/v2\/glossary\/148?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\/ht\/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\/ht\/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\/ht\/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\/ht\/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 (if applicable)<\/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=\"\/ht\/wp-json\/wp\/v2\/glossary\/148?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\" 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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><strong>Integration<\/strong> in <a href=\"https:\/\/vibromera.eu\/ht\/glossary\/vibration\/\">vibration<\/a> analysis is the mathematical process of converting a vibration signal from one parameter to another \u2014 performing integration in the time domain, or, equivalently, dividing by frequency in the frequency domain. Most often it turns <a href=\"https:\/\/vibromera.eu\/ht\/glossary\/acceleration\/\">acceleration<\/a> (the quantity an <a href=\"https:\/\/vibromera.eu\/ht\/glossary\/accelerometer\/\">accelerometer<\/a> actually senses) into <a href=\"https:\/\/vibromera.eu\/ht\/glossary\/velocity\/\">velocity<\/a>, or velocity into <a href=\"https:\/\/vibromera.eu\/ht\/glossary\/displacement\/\">displacement<\/a>. Because the three are linked through calculus (velocity = \u222b acceleration dt; displacement = \u222b velocity dt), integration lets an analyst express the same vibration in whichever parameter best suits the machine, the fault, and the frequency range \u2014 and it is the mathematical inverse of <a href=\"https:\/\/vibromera.eu\/ht\/glossary\/differentiation\/\">differentiation<\/a>.<\/p>\n<h2>1. Definition: One Sensor, Three Parameters<\/h2>\n<p>Integration matters because no single parameter is best for everything. Acceleration emphasises high frequencies and excels at early <a href=\"https:\/\/vibromera.eu\/ht\/glossary\/bearing-defects\/\">bearing-defect<\/a> detection; velocity is the balanced general-purpose metric used by the international machine-vibration standards; displacement emphasises low frequencies and suits slow machines and clearance work. Rather than carry three kinds of sensor, an engineer measures acceleration once and integrates to reach the other two. This is why a modern analyser can show a single measurement as acceleration, velocity, and displacement at the flick of a setting.<\/p>\n<h2>2. The Mathematical Relationships<\/h2>\n<h3>Time-domain integration<\/h3>\n<ul>\n<li><strong>Velocity from acceleration:<\/strong> v(t) = \u222b a(t) dt<\/li>\n<li><strong>Displacement from velocity:<\/strong> d(t) = \u222b v(t) dt<\/li>\n<li><strong>Displacement from acceleration:<\/strong> d(t) = \u222b\u222b a(t) dt dt (double integration)<\/li>\n<\/ul>\n<h3>Frequency-domain integration<\/h3>\n<p>The operation is far simpler once the signal is in the <a href=\"https:\/\/vibromera.eu\/ht\/glossary\/spectrum\/\">spectrum<\/a>, where each frequency line is just scaled:<\/p>\n<ul>\n<li><strong>Velocity from acceleration:<\/strong> V(f) = A(f) \/ (2\u03c0f)<\/li>\n<li><strong>Displacement from velocity:<\/strong> D(f) = V(f) \/ (2\u03c0f)<\/li>\n<li><strong>Consequence:<\/strong> dividing by frequency amplifies low frequencies and suppresses high ones \u2014 the single most important fact to remember about integration.<\/li>\n<\/ul>\n<blockquote><p>Integration is a 1\/f operation. It boosts the low-frequency end of the signal and attenuates the high-frequency end \u2014 which is exactly why a velocity spectrum looks &#8220;tilted&#8221; toward the low end compared with the acceleration spectrum it came from.<\/p><\/blockquote>\n<h2>3. Why Integration Is Needed<\/h2>\n<h3>Sensor economics<\/h3>\n<p>Accelerometers are the most versatile and most common vibration sensors, but acceleration is not always the most informative parameter. Integration lets one rugged accelerometer serve every parameter need, which is far more economical than fitting separate velocity and displacement sensors.<\/p>\n<h3>Parameter selection by frequency<\/h3>\n<ul>\n<li><strong>High frequency (above ~1000 Hz):<\/strong> acceleration is best \u2014 it highlights bearing impacts and gear-mesh energy.<\/li>\n<li><strong>Mid frequency (10\u20131000 Hz):<\/strong> velocity is best, and is the parameter used for general machinery condition.<\/li>\n<li><strong>Low frequency (below ~10 Hz):<\/strong> displacement is best, for slow machines and clearance assessment.<\/li>\n<li>Integration is what lets you move into the optimal parameter for whichever range a fault lives in.<\/li>\n<\/ul>\n<h3>Standard requirements<\/h3>\n<p>The dominant machine-vibration standard, <a href=\"https:\/\/vibromera.eu\/ht\/glossary\/iso-20816-1\/\">ISO 20816<\/a> (which superseded ISO 10816), specifies <a href=\"https:\/\/vibromera.eu\/ht\/glossary\/rms\/\">RMS velocity<\/a>. If you measure acceleration, you must integrate to velocity to compare against the limits; if you measure displacement with a <a href=\"https:\/\/vibromera.eu\/ht\/glossary\/proximity-probe\/\">proximity probe<\/a>, it must also be converted before any velocity comparison is valid.<\/p>\n<h2>4. The Challenges of Integration<\/h2>\n<p>Integration is mathematically simple but practically treacherous, because the same 1\/f behaviour that is useful also magnifies errors at the low-frequency end.<\/p>\n<h3>Low-frequency drift<\/h3>\n<p>This is the primary problem. Any DC offset or very-low-frequency component gets divided by a tiny number, producing an enormous error that makes the integrated signal &#8220;drift&#8221; off scale. The fix is a <a href=\"https:\/\/vibromera.eu\/ht\/glossary\/high-pass-filter\/\">high-pass filter<\/a> applied before integration, typically with a 2\u201310 Hz cutoff.<\/p>\n<h3>Noise amplification<\/h3>\n<p>Because integration is a 1\/f operation, low-frequency noise is amplified more strongly than the signal of interest, degrading the signal-to-noise ratio. Filtering the noise out before integrating is the remedy.<\/p>\n<h3>Double integration compounds the problem<\/h3>\n<p>Going from acceleration all the way to displacement requires integrating twice, so any DC offset or low-frequency noise is amplified twice and the errors multiply. Aggressive high-pass filtering \u2014 often 10\u201320 Hz \u2014 is essential to keep the result usable.<\/p>\n<h2>5. Doing It Properly<\/h2>\n<h3>Single integration (acceleration \u2192 velocity)<\/h3>\n<ol>\n<li><strong>Acquire<\/strong> the acceleration signal at an adequate sample rate.<\/li>\n<li><strong>Remove DC<\/strong> offset.<\/li>\n<li><strong>High-pass filter<\/strong> at 2\u201310 Hz to kill drift.<\/li>\n<li><strong>Integrate<\/strong> (divide by 2\u03c0f in the frequency domain).<\/li>\n<li><strong>Verify<\/strong> the result is sensible and free of drift.<\/li>\n<\/ol>\n<h3>Double integration (acceleration \u2192 displacement)<\/h3>\n<ol>\n<li><strong>Apply an aggressive high-pass filter<\/strong> \u2014 a higher cutoff (10\u201320 Hz) than for single integration.<\/li>\n<li><strong>First integration:<\/strong> acceleration \u2192 velocity.<\/li>\n<li><strong>Check the intermediate<\/strong> velocity result.<\/li>\n<li><strong>Second integration:<\/strong> velocity \u2192 displacement.<\/li>\n<li><strong>Final verification:<\/strong> confirm the displacement is physically reasonable.<\/li>\n<\/ol>\n<h2>6. Frequency Domain vs. Time Domain<\/h2>\n<p>There are two ways to implement integration, and modern instruments overwhelmingly favour the first.<\/p>\n<ul>\n<li><strong>Frequency-domain integration (preferred):<\/strong> take the <a href=\"https:\/\/vibromera.eu\/ht\/glossary\/fft\/\">FFT<\/a>, divide each line by 2\u03c0f, and inverse-transform. It is straightforward, introduces no cumulative error, makes filtering trivial, and is the standard method in modern analysers \u2014 giving a clean, accurate result.<\/li>\n<li><strong>Time-domain integration:<\/strong> numerical integration by the trapezoidal or Simpson&#8217;s rule. It suffers cumulative error and drift and needs more careful filtering, so it is reserved for cases where a frequency-domain approach is not practical.<\/li>\n<\/ul>\n<h2>7. Practical Applications and Field Use<\/h2>\n<p>In day-to-day work, integration shows up whenever measurements from different sensors must be compared on equal terms: converting accelerometer data to velocity for an ISO 20816 check, or converting proximity-probe displacement to velocity so the two can sit on the same chart. On slow machines (below ~500 RPM) acceleration and velocity both become small, so analysts integrate to displacement to get a meaningful number, and multi-parameter analysis \u2014 viewing one signal as acceleration, velocity, <em>and<\/em> displacement \u2014 gives the most complete picture because each parameter emphasises a different part of the frequency range.<\/p>\n<p>This is exactly how a portable instrument behaves on a real job. A two-channel analyser such as the <a href=\"https:\/\/vibromera.eu\/ht\/product\/balanset-1\/\">Balanset-1A<\/a> samples acceleration at the bearing housings and integrates internally to display velocity for an ISO 20816 severity check or the 1\u00d7 <a href=\"https:\/\/vibromera.eu\/ht\/glossary\/phase\/\">amplitude and phase<\/a> needed for <a href=\"https:\/\/vibromera.eu\/ht\/glossary\/field-balancing\/\">field balancing<\/a> \u2014 the high-pass filtering and integration happening transparently so the engineer simply selects the parameter that fits the task.<\/p>\n<h2>8. Common Mistakes<\/h2>\n<ul>\n<li><strong>Integrating without filtering:<\/strong> guarantees drift and unusable displacement values \u2014 always high-pass filter first.<\/li>\n<li><strong>Wrong cutoff frequency:<\/strong> set too low and drift returns; set too high and valid low-frequency content is stripped away. The cutoff is always a balance between drift prevention and <a href=\"https:\/\/vibromera.eu\/ht\/glossary\/signal-filtering\/\">signal<\/a> preservation.<\/li>\n<li><strong>Comparing mixed parameters:<\/strong> never compare an acceleration value directly with a velocity value \u2014 convert both to the same parameter first, because frequency content alone changes which parameter reads higher.<\/li>\n<\/ul>\n<p>Integration is a fundamental signal-processing operation that ties acceleration, velocity, and displacement together into one coherent description of a machine. Used with proper high-pass filtering and a frequency-domain implementation, it underpins standards compliance, sensor economy, and the multi-parameter analysis that lets an engineer see a fault clearly in whichever parameter shows it best.<\/p>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/ht\/glossary\/\">\u2190 Back to Main Index<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Learn about integration in vibration analysis, mathematical process converting acceleration to velocity or velocity to displacement, essential for low-speed machinery measurements.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[109,110],"tags":[],"class_list":["post-148","glossary","type-glossary","status-publish","hentry","category-glossary","category-vibration-diagnostics"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/ht\/wp-json\/wp\/v2\/glossary\/148","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/ht\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/ht\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/ht\/wp-json\/wp\/v2\/glossary\/148\/revisions"}],"predecessor-version":[{"id":101340,"href":"https:\/\/vibromera.eu\/ht\/wp-json\/wp\/v2\/glossary\/148\/revisions\/101340"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/ht\/wp-json\/wp\/v2\/media?parent=148"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/ht\/wp-json\/wp\/v2\/categories?post=148"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/ht\/wp-json\/wp\/v2\/tags?post=148"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}