{"id":20640,"date":"2025-10-31T00:25:51","date_gmt":"2025-10-31T00:25:51","guid":{"rendered":"https:\/\/vibromera.eu\/glossary\/differentiation\/"},"modified":"2026-05-23T22:45:10","modified_gmt":"2026-05-23T22:45:10","slug":"differentiation","status":"publish","type":"glossary","link":"https:\/\/vibromera.eu\/nb\/glossary\/differentiation\/","title":{"rendered":"Hva er differensiering i vibrasjon? Signalkonvertering"},"content":{"rendered":"<h1>Understanding Differentiation 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\/nb\/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\/nb\/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\/nb\/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\/nb\/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=\"\/nb\/wp-json\/wp\/v2\/glossary\/20640?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=\"Legg i handlekurv\"><i rel=\"tooltip\" data-original-title=\"Legg i handlekurv\" class=\"fas fa-cart-plus\"><\/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=\"\/nb\/wp-json\/wp\/v2\/glossary\/20640?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=\"Legg i handlekurv: \u00abPortable balancer &amp; Vibration analyzer Balanset-1A\u00bb\" rel=\"nofollow\" data-success_message=\"\u00abPortable balancer &amp; Vibration analyzer Balanset-1A\u00bb ble lagt til i handlekurven\">Legg i handlekurv<\/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\/nb\/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\/nb\/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\/nb\/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\/nb\/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=\"\/nb\/wp-json\/wp\/v2\/glossary\/20640?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=\"Legg i handlekurv\"><i rel=\"tooltip\" data-original-title=\"Legg i handlekurv\" class=\"fas fa-cart-plus\"><\/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=\"\/nb\/wp-json\/wp\/v2\/glossary\/20640?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=\"Legg i handlekurv: \u00abVibration sensor\u00bb\" rel=\"nofollow\" data-success_message=\"\u00abVibration sensor\u00bb ble lagt til i handlekurven\">Legg i handlekurv<\/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\/nb\/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\/nb\/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\/nb\/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\/nb\/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=\"\/nb\/wp-json\/wp\/v2\/glossary\/20640?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=\"Legg i handlekurv\"><i rel=\"tooltip\" data-original-title=\"Legg i handlekurv\" class=\"fas fa-cart-plus\"><\/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=\"\/nb\/wp-json\/wp\/v2\/glossary\/20640?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=\"Legg i handlekurv: \u00abOptical Sensor (Laser Tachometer)\u00bb\" rel=\"nofollow\" data-success_message=\"\u00abOptical Sensor (Laser Tachometer)\u00bb ble lagt til i handlekurven\">Legg i handlekurv<\/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\/nb\/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\/nb\/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\/nb\/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\/nb\/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=\"\/nb\/wp-json\/wp\/v2\/glossary\/20640?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=\"Legg i handlekurv\"><i rel=\"tooltip\" data-original-title=\"Legg i handlekurv\" class=\"fas fa-cart-plus\"><\/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=\"\/nb\/wp-json\/wp\/v2\/glossary\/20640?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=\"Legg i handlekurv: \u00abBalanset-4\u00bb\" rel=\"nofollow\" data-success_message=\"\u00abBalanset-4\u00bb ble lagt til i handlekurven\">Legg i handlekurv<\/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\/nb\/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\/nb\/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\/nb\/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\/nb\/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 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class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/nb\/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 (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=\"\/nb\/wp-json\/wp\/v2\/glossary\/20640?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=\"Legg i handlekurv\"><i rel=\"tooltip\" data-original-title=\"Legg i handlekurv\" class=\"fas fa-cart-plus\"><\/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=\"\/nb\/wp-json\/wp\/v2\/glossary\/20640?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=\"Legg i handlekurv: \u00abDynamic balancer \u201cBalanset-1A\u201d OEM\u00bb\" rel=\"nofollow\" data-success_message=\"\u00abDynamic balancer \u201cBalanset-1A\u201d OEM\u00bb ble lagt til i handlekurven\">Legg i handlekurv<\/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><strong>Differentiation<\/strong> in <a href=\"https:\/\/vibromera.eu\/glossary\/vibration\/\">vibration<\/a> analysis is the mathematical operation that converts a vibration signal from one measurement parameter to another by taking its time derivative \u2014 or, equivalently, by multiplying by frequency in the <a href=\"https:\/\/vibromera.eu\/glossary\/spectrum\/\">frequency domain<\/a>. It turns <a href=\"https:\/\/vibromera.eu\/glossary\/displacement\/\">displacement<\/a> into <a href=\"https:\/\/vibromera.eu\/glossary\/velocity\/\">velocity<\/a>, and velocity into <a href=\"https:\/\/vibromera.eu\/glossary\/acceleration\/\">acceleration<\/a>. Differentiation is the exact inverse of <a href=\"https:\/\/vibromera.eu\/glossary\/integration\/\">integration<\/a>; it is performed far less often, because most field sensors are accelerometers and the usual need is to integrate <em>down<\/em> to velocity or displacement, not differentiate <em>up<\/em>. The case where it earns its keep is when displacement measured by a <a href=\"https:\/\/vibromera.eu\/glossary\/proximity-probe\/\">proximity probe<\/a> must be compared against a velocity-based standard, or examined for high-frequency content.<\/p>\n<p>The key behaviour to internalise is that differentiation is a <strong>frequency-weighting<\/strong> operation: it emphasises high-frequency components and suppresses low-frequency ones \u2014 precisely the opposite of integration. That makes it useful for pulling faint high-frequency diagnostic detail out of a displacement record, but it is a double-edged tool, because it amplifies high-frequency noise just as enthusiastically as signal. Used without care, it can bury the very information you were trying to reveal.<\/p>\n<h2>1. The Mathematical Relationships<\/h2>\n<p>The same physics can be expressed in two equivalent ways, and the choice between them has real practical consequences.<\/p>\n<h3>Time-domain differentiation<\/h3>\n<ul>\n<li><strong>Velocity from displacement:<\/strong> v(t) = d\/dt [x(t)]<\/li>\n<li><strong>Acceleration from velocity:<\/strong> a(t) = d\/dt [v(t)]<\/li>\n<li><strong>Acceleration from displacement:<\/strong> a(t) = d\u00b2\/dt\u00b2 [x(t)] \u2014 the second derivative, applied in one step<\/li>\n<\/ul>\n<h3>Frequency-domain differentiation<\/h3>\n<p>In the frequency domain the operation collapses into a simple multiplication, which is why modern instruments work here:<\/p>\n<ul>\n<li><strong>Velocity from displacement:<\/strong> V(f) = D(f) \u00d7 2\u03c0f<\/li>\n<li><strong>Acceleration from velocity:<\/strong> A(f) = V(f) \u00d7 2\u03c0f<\/li>\n<li><strong>Net effect:<\/strong> every spectral line is scaled by its own frequency, so high frequencies are lifted and low frequencies pushed down \u2014 and double differentiation scales by (2\u03c0f)\u00b2, an even steeper tilt.<\/li>\n<\/ul>\n<p>This frequency dependence is the whole story of differentiation. Because each conversion multiplies one power of frequency, it links the family of parameters an engineer routinely switches between; converters such as a <a href=\"https:\/\/vibromera.eu\/calculators\/vibration-acceleration\/\">vibration acceleration calculator<\/a> or a <a href=\"https:\/\/vibromera.eu\/calculators\/vibration-displacement\/\">vibration displacement calculator<\/a> apply exactly this single-frequency relationship for a pure tone.<\/p>\n<h2>2. Why Differentiation Is Used<\/h2>\n<p>Despite being the less common operation, differentiation has several legitimate uses:<\/p>\n<ul>\n<li><strong>Proximity-probe applications:<\/strong> proximity probes measure shaft displacement directly, yet many vibration standards specify velocity limits. Differentiating displacement to velocity lets a displacement sensor be judged against those limits.<\/li>\n<li><strong>Emphasising high frequencies:<\/strong> because differentiation lifts the top end, it can expose high-frequency defect signatures hidden in displacement data, and convert sluggish low-speed displacement into a more analysis-friendly acceleration record.<\/li>\n<li><strong>Cross-comparing sensor types:<\/strong> to compare a displacement sensor with an <a href=\"https:\/\/vibromera.eu\/glossary\/accelerometer\/\">accelerometer<\/a>, both are converted to a common parameter \u2014 usually velocity \u2014 so their measurements can be checked for consistency.<\/li>\n<\/ul>\n<h2>3. The Challenges: Noise Amplification<\/h2>\n<p>The defining difficulty of differentiation is noise, and it follows directly from the multiply-by-frequency rule.<\/p>\n<h3>Why noise dominates<\/h3>\n<p>Because the operation multiplies by frequency, broadband noise \u2014 which lives across the whole spectrum \u2014 is amplified more at the top than the signal of interest is. A vivid illustration: <strong>1&nbsp;% noise at 10&nbsp;kHz is amplified roughly 100\u00d7 relative to a signal at 100&nbsp;Hz<\/strong>, so a clean-looking input can emerge swamped. The defence is to apply a <a href=\"https:\/\/vibromera.eu\/glossary\/low-pass-filter\/\">low-pass filter<\/a> before differentiating, removing high-frequency content that would otherwise be blown up.<\/p>\n<h3>Sensor noise and double differentiation<\/h3>\n<p>Every displacement sensor carries its own electrical and quantisation noise. Single differentiation to velocity amplifies it; double differentiation all the way to acceleration compounds the effect dramatically and should generally be avoided. If you genuinely need acceleration, the right answer is almost always to measure it directly with an accelerometer rather than differentiate displacement twice.<\/p>\n<h3>Numerical errors<\/h3>\n<p>Time-domain differentiation also amplifies digitisation errors and is sensitive to sampling artefacts, which is the practical reason the frequency-domain method is preferred wherever accuracy matters.<\/p>\n<h2>4. Doing It Properly<\/h2>\n<p>A disciplined procedure keeps differentiation honest. Note the contrast with integration, which instead needs a <a href=\"https:\/\/vibromera.eu\/glossary\/high-pass-filter\/\">high-pass filter<\/a> to remove low-frequency drift \u2014 the two operations require opposite <a href=\"https:\/\/vibromera.eu\/glossary\/signal-filtering\/\">filtering<\/a> strategies.<\/p>\n<h3>Single differentiation (displacement \u2192 velocity)<\/h3>\n<ol>\n<li><strong>Low-pass filter first:<\/strong> remove high-frequency noise, with a cut-off roughly 2\u20135\u00d7 the highest frequency of interest.<\/li>\n<li><strong>Check signal quality:<\/strong> confirm the input is free of obvious noise and artefacts.<\/li>\n<li><strong>Differentiate:<\/strong> multiply by 2\u03c0f in the frequency domain.<\/li>\n<li><strong>Sanity-check the result:<\/strong> compare against expected magnitudes for reasonableness.<\/li>\n<\/ol>\n<h3>Double differentiation (displacement \u2192 acceleration)<\/h3>\n<ul>\n<li><strong>Generally avoid it<\/strong> \u2014 it rarely produces good results.<\/li>\n<li><strong>If unavoidable,<\/strong> apply aggressive low-pass filtering with the cut-off set right at the highest frequency of interest, and accept that the high-frequency band will be noise-limited.<\/li>\n<li><strong>Better alternative:<\/strong> use an accelerometer and measure acceleration directly.<\/li>\n<\/ul>\n<h3>Frequency-domain implementation<\/h3>\n<p>The modern, robust recipe is to compute the <a href=\"https:\/\/vibromera.eu\/glossary\/fft\/\">FFT<\/a> of the displacement or velocity signal, multiply each bin by 2\u03c0f (or (2\u03c0f)\u00b2 for double differentiation), apply any low-pass filtering in the frequency domain, and read off the spectrum in the new parameter \u2014 taking an inverse FFT if a <a href=\"https:\/\/vibromera.eu\/glossary\/time-waveform\/\">time waveform<\/a> is wanted. This approach avoids cumulative errors, makes filtering trivial, is computationally efficient, and is the standard method built into today&#8217;s analysers.<\/p>\n<h2>5. When to Use It \u2014 and When Not To<\/h2>\n<p>Reach for differentiation when converting proximity-probe displacement to velocity for ISO comparison, when enhancing high-frequency content in low-speed displacement data, when comparing different sensor types on a common basis, and generally whenever proper filtering can be applied. Avoid it on noisy displacement signals, avoid double differentiation unless it is truly unavoidable, and \u2014 the recurring theme \u2014 avoid it entirely whenever an accelerometer is available, since measuring the desired parameter directly always beats deriving it.<\/p>\n<h2>6. Differentiation vs Integration, and Modern Instruments<\/h2>\n<p>The two operations are mirror images, and seeing them side by side clarifies both.<\/p>\n<table border=\"1\" style=\"width:100%; border-collapse:collapse;\">\n<tr>\n<th>Aspect<\/th>\n<th>Integration<\/th>\n<th>Differentiation<\/th>\n<\/tr>\n<tr>\n<td>Frequency effect<\/td>\n<td>Amplifies low frequencies<\/td>\n<td>Amplifies high frequencies<\/td>\n<\/tr>\n<tr>\n<td>Common use<\/td>\n<td>Acceleration \u2192 velocity, velocity \u2192 displacement<\/td>\n<td>Displacement \u2192 velocity<\/td>\n<\/tr>\n<tr>\n<td>Main problem<\/td>\n<td>Low-frequency drift<\/td>\n<td>High-frequency noise amplification<\/td>\n<\/tr>\n<tr>\n<td>Required filter<\/td>\n<td>High-pass before integration<\/td>\n<td>Low-pass before differentiation<\/td>\n<\/tr>\n<tr>\n<td>How often used<\/td>\n<td>Very common<\/td>\n<td>Less common<\/td>\n<\/tr>\n<\/table>\n<p>In practice the engineer rarely performs these conversions by hand. Modern analysers convert automatically between displacement, velocity and acceleration: the user selects the desired parameter and the instrument applies the correct filtering and scaling, which greatly reduces the chance of error. Many can display all three parameters at once \u2014 each emphasising a different part of the frequency range \u2014 to give a comprehensive view of the vibration. A portable two-channel instrument such as the <a href=\"https:\/\/vibromera.eu\/product\/balanset-1\/\">Balanset-1A<\/a> handles this conversion internally, presenting velocity for routine assessment against severity bands like those in <a href=\"https:\/\/vibromera.eu\/glossary\/iso-20816-1\/\">ISO 20816-1<\/a> while retaining the underlying acceleration data, so the analyst never has to differentiate a raw record manually in the field.<\/p>\n<p>Differentiation, then, is the less-used but genuinely valuable counterpart to integration: indispensable for converting displacement measurements to velocity or acceleration and for cross-checking sensor types, provided its noise-amplifying character is respected and the right low-pass filtering is applied. Understand that single trait \u2014 it lifts the high frequencies \u2014 and accurate parameter conversion follows.<\/p>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/glossary\/\">\u2190 Back to Main Index<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>L\u00e6r om differensiering i vibrasjonsanalyse, en matematisk prosess som konverterer forskyvning til hastighet eller hastighet til akselerasjon, med vekt p\u00e5 h\u00f8yfrekvente komponenter.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[109,110],"tags":[],"class_list":["post-20640","glossary","type-glossary","status-publish","hentry","category-glossary","category-vibration-diagnostics"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/nb\/wp-json\/wp\/v2\/glossary\/20640","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/nb\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/nb\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/nb\/wp-json\/wp\/v2\/glossary\/20640\/revisions"}],"predecessor-version":[{"id":101354,"href":"https:\/\/vibromera.eu\/nb\/wp-json\/wp\/v2\/glossary\/20640\/revisions\/101354"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/nb\/wp-json\/wp\/v2\/media?parent=20640"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/nb\/wp-json\/wp\/v2\/categories?post=20640"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/nb\/wp-json\/wp\/v2\/tags?post=20640"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}