{"id":165,"date":"2025-10-31T00:25:51","date_gmt":"2025-10-31T00:25:51","guid":{"rendered":"https:\/\/vibromera.eu\/glossary\/mode-shape\/"},"modified":"2026-05-23T23:04:15","modified_gmt":"2026-05-23T23:04:15","slug":"mode-shape","status":"publish","type":"glossary","link":"https:\/\/vibromera.eu\/da\/glossary\/mode-shape\/","title":{"rendered":"Hvad er modeform i rotordynamik?"},"content":{"rendered":"<h1>Forst\u00e5else af tilstandsformer i rotordynamik<\/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\/da\/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\/da\/product\/balanset-1\/\" title=\"B\u00e6rbart afbalanceringsapparat og vibrationsanalysator 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 komplet s\u00e6t med b\u00e6rbar afbalanceringsenhed og vibrationsanalysator\" 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\/da\/product-category\/devices\/\" rel=\"tag\">Enheder<\/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\/da\/product\/balanset-1\/\" title=\"B\u00e6rbart afbalanceringsapparat og vibrationsanalysator Balanset-1A\">B\u00e6rbart afbalanceringsapparat og vibrationsanalysator Balanset-1A<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>1,975.00<\/span> + moms (hvis relevant)<\/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=\"\/da\/wp-json\/wp\/v2\/glossary\/165?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=\"Tilf\u00f8j til kurv\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Tilf\u00f8j til kurv\" 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=\"\/da\/wp-json\/wp\/v2\/glossary\/165?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=\"L\u00e6g i kurv: \u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d\" rel=\"nofollow\" data-success_message=\"\u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d er blevet tilf\u00f8jet til din kurv\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Tilf\u00f8j til kurv<\/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\/da\/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\/da\/product\/vibration-sensor\/\" title=\"Vibrationssensor\">\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 vibrationssensor i n\u00e6rbillede\" 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\/da\/product-category\/parts\/\" rel=\"tag\">Dele<\/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\/da\/product\/vibration-sensor\/\" title=\"Vibrationssensor\">Vibrationssensor<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>90.00<\/span> + moms (hvis relevant)<\/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=\"\/da\/wp-json\/wp\/v2\/glossary\/165?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=\"Tilf\u00f8j til kurv\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Tilf\u00f8j til kurv\" 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=\"\/da\/wp-json\/wp\/v2\/glossary\/165?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=\"L\u00e6g i kurv: \u201cVibration sensor\u201d\" rel=\"nofollow\" data-success_message=\"\u201cVibration sensor\u201d er blevet tilf\u00f8jet til din kurv\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Tilf\u00f8j til kurv<\/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\/da\/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\/da\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optisk 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=\"Optisk 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\/da\/product-category\/parts\/\" rel=\"tag\">Dele<\/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\/da\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optisk sensor (laser-tachometer)\">Optisk 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\">\u20ac<\/span>124.00<\/span> + moms (hvis relevant)<\/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=\"\/da\/wp-json\/wp\/v2\/glossary\/165?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=\"Tilf\u00f8j til kurv\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Tilf\u00f8j til kurv\" 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=\"\/da\/wp-json\/wp\/v2\/glossary\/165?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=\"L\u00e6g i kurv: \u201cOptical Sensor (Laser Tachometer)\u201d\" rel=\"nofollow\" data-success_message=\"\u201cOptical Sensor (Laser Tachometer)\u201d er blevet tilf\u00f8jet til din kurv\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Tilf\u00f8j til kurv<\/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\/da\/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\/da\/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 rotorbalanceringss\u00e6t: b\u00e6retaske, flerkanals signalbehandler, h\u00e5ndholdt analysator, magnetisk base, vibrationssensorer og spiralkabler.\" 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\/da\/product-category\/devices\/\" rel=\"tag\">Enheder<\/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\/da\/product\/balanset-4\/\" title=\"Balanset-4\">Balanset-4<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>6,803.00<\/span> + moms (hvis relevant)<\/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=\"\/da\/wp-json\/wp\/v2\/glossary\/165?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=\"Tilf\u00f8j til kurv\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Tilf\u00f8j til kurv\" 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=\"\/da\/wp-json\/wp\/v2\/glossary\/165?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=\"L\u00e6g i kurv: \u201cBalanset-4\u201d\" rel=\"nofollow\" data-success_message=\"\u201cBalanset-4\u201d er blevet tilf\u00f8jet til din kurv\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Tilf\u00f8j til kurv<\/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\/da\/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\/da\/product\/magnet-stand\/\" title=\"Magnetisk stativ 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=\"Magnetbase.\" 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\/da\/product-category\/parts\/\" rel=\"tag\">Dele<\/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\/da\/product\/magnet-stand\/\" title=\"Magnetisk stativ Insize-60-kgf\">Magnetisk stativ Insize-60-kgf<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>46.00<\/span> + moms (hvis relevant)<\/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=\"\/da\/wp-json\/wp\/v2\/glossary\/165?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=\"Tilf\u00f8j til kurv\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Tilf\u00f8j til kurv\" 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=\"\/da\/wp-json\/wp\/v2\/glossary\/165?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=\"L\u00e6g i kurv: \u201cMagnetic Stand Insize-60-kgf\u201d\" rel=\"nofollow\" data-success_message=\"\u201cMagnetic Stand Insize-60-kgf\u201d er blevet tilf\u00f8jet til din kurv\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Tilf\u00f8j til kurv<\/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\/da\/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\/da\/product\/reflective-tape\/\" title=\"Reflekterende 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=\"Reflekterende 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\" 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\/da\/product-category\/parts\/\" rel=\"tag\">Dele<\/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\/da\/product\/reflective-tape\/\" title=\"Reflekterende tape\">Reflekterende tape<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>10.00<\/span> + moms (hvis relevant)<\/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=\"\/da\/wp-json\/wp\/v2\/glossary\/165?add-to-cart=2329\" data-quantity=\"1\" data-product_id=\"2329\" data-product_sku=\"rt-1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Tilf\u00f8j til kurv\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Tilf\u00f8j til kurv\" 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=\"\/da\/wp-json\/wp\/v2\/glossary\/165?add-to-cart=2329\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_2329\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"2329\" data-product_sku=\"rt-1\" aria-label=\"L\u00e6g i kurv: \u201cReflective tape\u201d\" rel=\"nofollow\" data-success_message=\"\u201cReflective tape\u201d er blevet tilf\u00f8jet til din kurv\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Tilf\u00f8j til kurv<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_2329\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/da\/product\/dynamic-balancer-balanset-1a\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/da\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dynamisk balancer &quot;Balanset-1A&quot; OEM\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Balanset-1A-s\u00e6t med interface-enhed, sensorer, omdrejningst\u00e6ller og tilbeh\u00f8r\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-1024x683.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-1536x1024.webp 1536w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-2048x1366.webp 2048w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-e1732998877834.webp 708w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/da\/product-category\/devices\/\" rel=\"tag\">Enheder<\/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\/da\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dynamisk balancer &quot;Balanset-1A&quot; OEM\">Dynamisk balancer \"Balanset-1A\" OEM<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>1,735.00<\/span> + moms (hvis relevant)<\/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=\"\/da\/wp-json\/wp\/v2\/glossary\/165?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=\"Tilf\u00f8j til kurv\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Tilf\u00f8j til kurv\" 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=\"\/da\/wp-json\/wp\/v2\/glossary\/165?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=\"L\u00e6g i kurv: \u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d\" rel=\"nofollow\" data-success_message=\"\u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d er blevet tilf\u00f8jet til din kurv\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Tilf\u00f8j til kurv<\/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>A <strong>tilstandsform<\/strong> \u2014 ogs\u00e5 kaldet en svingningsform eller egenform \u2014 er det karakteristiske rumlige m\u00f8nster for deformation, som en <a href=\"https:\/\/vibromera.eu\/da\/glossary\/rotor\/\">Rotor<\/a> systemet f\u00e5r, n\u00e5r det vibrerer ved en af sine <a href=\"https:\/\/vibromera.eu\/da\/glossary\/natural-frequency\/\">naturlige frekvenser<\/a>. Den beskriver den relative amplitude og <a href=\"https:\/\/vibromera.eu\/da\/glossary\/phase\/\">fase<\/a> bev\u00e6gelse p\u00e5 hvert punkt langs akslen, n\u00e5r systemet svinger frit ved netop den <a href=\"https:\/\/vibromera.eu\/da\/glossary\/resonance\/\">resonans<\/a> frekvens. Hver svingningsform er knyttet til en egenfrekvens, og tilsammen udg\u00f8r de en fuldst\u00e6ndig beskrivelse af systemets dynamiske adf\u00e6rd. At forst\u00e5 svingningsformer er afg\u00f8rende for <a href=\"https:\/\/vibromera.eu\/da\/glossary\/rotor-dynamics\/\">rotordynamik<\/a>, fordi de bestemmer, hvor <a href=\"https:\/\/vibromera.eu\/da\/glossary\/critical-speed\/\">kritiske hastigheder<\/a> opst\u00e5r, og hvordan rotoren reagerer p\u00e5 de kr\u00e6fter, der s\u00e6tter den i svingninger.<\/p>\n<h2>1. Definition og fysisk betydning<\/h2>\n<p>N\u00e5r en konstruktion s\u00e6ttes i svingninger og f\u00e5r lov til at vibrere frit, bev\u00e6ger den sig ikke vilk\u00e5rligt. Den falder til ro i et begr\u00e6nset antal foretrukne m\u00f8nstre, der hver is\u00e6r svinger med sin egen frekvens, pr\u00e6cis som en guitarstreng afgiver en grundtone og en r\u00e6kke overtoner. For en rotor er disse foretrukne m\u00f8nstre dens svingningsformer, og de frekvenser, hvor de forekommer, er dens naturlige frekvenser. Faren ved roterende maskiner er, at en rotors omdrejningshastighed kan falde sammen med en af disse naturlige frekvenser; n\u00e5r det sker, drives den tilsvarende svingningsform ind i <a href=\"https:\/\/vibromera.eu\/da\/glossary\/resonance\/\">resonans<\/a> og vibrationsamplituderne stiger kraftigt. N\u00e5r man p\u00e5 forh\u00e5nd kender formerne, ved ingeni\u00f8ren, hvor rotoren vil b\u00f8je mest, hvor den knap nok vil bev\u00e6ge sig, og dermed hvor der skal gribes ind.<\/p>\n<h2>2. Visualisering af svingningsformer<\/h2>\n<p>Svingningsformer kan bedst forestilles som rotorakslens b\u00f8jningskurver.<\/p>\n<h3>F\u00f8rste tilstand (grundl\u00e6ggende)<\/h3>\n<ul>\n<li><strong>Form:<\/strong> en simpel bue, som et springtov med en enkelt bule.<\/li>\n<li><strong>Nulpunkter:<\/strong> ingen indvendige \u2014 akslen er underst\u00f8ttet af lejerne, som fungerer som omtrentlige knudepunkter.<\/li>\n<li><strong>Maksimal afb\u00f8jning:<\/strong> typisk t\u00e6t p\u00e5 midten af sp\u00e6ndvidden mellem lejerne.<\/li>\n<li><strong>Frekvens:<\/strong> systemets laveste egenfrekvens.<\/li>\n<li><strong>Kritisk hastighed:<\/strong> Den f\u00f8rste kritiske hastighed svarer til denne tilstand.<\/li>\n<\/ul>\n<h3>Anden tilstand<\/h3>\n<ul>\n<li><strong>Form:<\/strong> en S-kurve med et knudepunkt i midten.<\/li>\n<li><strong>Nulpunkter:<\/strong> et internt knudepunkt, hvor akselafb\u00f8jningen er nul.<\/li>\n<li><strong>Maksimal afb\u00f8jning:<\/strong> p\u00e5 to steder, et p\u00e5 hver side af knudepunktet.<\/li>\n<li><strong>Frekvens:<\/strong> h\u00f8jere end den f\u00f8rste svingningstilstand, ofte tre til fem gange dens frekvens.<\/li>\n<li><strong>Kritisk hastighed:<\/strong> den anden kritiske hastighed.<\/li>\n<\/ul>\n<h3>Tredje tilstand og h\u00f8jere<\/h3>\n<ul>\n<li><strong>Form:<\/strong> stadig mere komplekse b\u00f8lgem\u00f8nstre.<\/li>\n<li><strong>Nulpunkter:<\/strong> to for den tredje tilstand, tre for den fjerde og s\u00e5 videre.<\/li>\n<li><strong>Frekvens:<\/strong> stadigt h\u00f8jere.<\/li>\n<li><strong>Praktisk betydning:<\/strong> g\u00e6lder normalt kun for meget h\u00f8je hastigheder eller meget <a href=\"https:\/\/vibromera.eu\/da\/glossary\/flexible-rotor\/\">fleksible rotorer<\/a>.<\/li>\n<\/ul>\n<h2>3. Vigtige kendetegn ved svingningsformer<\/h2>\n<h3>Ortogonalitet<\/h3>\n<p>Forskellige modale former er matematisk ortogonale \u2013 det vil sige uafh\u00e6ngige af hinanden. I et ideelt line\u00e6rt system vil energi, der tilf\u00f8res ved \u00e9n modalfrekvens, ikke anspore de \u00f8vrige, og det er netop det, der g\u00f8r det muligt for ingeni\u00f8rer at behandle og korrigere hver modalform separat.<\/p>\n<h3>Normalisering<\/h3>\n<p>Modusformer normaliseres normalt, idet den maksimale udslag skaleres til en referencev\u00e6rdi (ofte 1,0), s\u00e5 formerne kan sammenlignes. Den faktiske udslagsst\u00f8rrelse under drift afh\u00e6nger af belastningsamplituden og systemet <a href=\"https:\/\/vibromera.eu\/da\/glossary\/damping\/\">d\u00e6mpning<\/a>.<\/p>\n<h3>Knudepunkter<\/h3>\n<p><strong>Knuder<\/strong> er punkter langs skaftet, hvor afb\u00f8jningen forbliver nul under vibration i den p\u00e5g\u00e6ldende svingningstilstand. Antallet af indre knudepunkter svarer til svingningstilstandens nummer minus \u00e9n:<\/p>\n<ul>\n<li>f\u00f8rste tilstand: 0 interne noder;<\/li>\n<li>anden tilstand: 1 intern node;<\/li>\n<li>tredje tilstand: 2 interne noder.<\/li>\n<\/ul>\n<p>A <a href=\"https:\/\/vibromera.eu\/da\/glossary\/nodal-point\/\">knudepunkt<\/a> er en stillest\u00e5ende position i en given tilstand \u2014 et forhold, der har direkte konsekvenser for b\u00e5de sensorplacering og afbalancering.<\/p>\n<h3>Antinode-punkter<\/h3>\n<p><strong>Antinoder<\/strong> er de steder, hvor afb\u00f8jningen er st\u00f8rst i en svingningsform. Det er de punkter, hvor b\u00f8jningssp\u00e6ndingen er st\u00f8rst, og derfor de steder, hvor der er st\u00f8rst risiko for udmattelse og brud under resonansvibrationer.<\/p>\n<h2>4. Hvorfor svingformer er vigtige<\/h2>\n<h3>Forudsigelse af kritisk hastighed<\/h3>\n<p>Hver tilstandsform svarer til en <a href=\"https:\/\/vibromera.eu\/da\/glossary\/critical-speed\/\">kritisk hastighed<\/a>. N\u00e5r driftshastigheden svarer til en egenfrekvens, aktiveres denne svingningsform, rotoren b\u00f8jes i overensstemmelse med svingningsformens m\u00f8nster, og <a href=\"https:\/\/vibromera.eu\/da\/glossary\/unbalance\/\">ubalance<\/a> Kr\u00e6fterne ud\u00f8ver deres st\u00f8rste p\u00e5virkning, n\u00e5r de falder sammen med antinoderne. A <a href=\"https:\/\/vibromera.eu\/da\/calculators\/rotor-critical-speed\/\">Beregner til rotorens kritiske hastighed<\/a> giver et hurtigt f\u00f8rste overblik over, hvor disse hastigheder ligger i forhold til driftsomr\u00e5det.<\/p>\n<h3>Balanceringsstrategi<\/h3>\n<p>Modusformer er afg\u00f8rende for valget af <a href=\"https:\/\/vibromera.eu\/da\/glossary\/afbalancering\/\">afbalancering<\/a> tilgang:<\/p>\n<ul>\n<li><strong><a href=\"https:\/\/vibromera.eu\/da\/glossary\/rigid-rotor\/\">Stive rotorer<\/a><\/strong> k\u00f8rer under den f\u00f8rste kritiske hastighed; enkelt <a href=\"https:\/\/vibromera.eu\/da\/glossary\/two-plane-balancing\/\">toplansbalancering<\/a> er tilstr\u00e6kkeligt.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/da\/glossary\/flexible-rotor\/\">Fleksible rotorer<\/a><\/strong> overskrider det f\u00f8rste kritiske niveau og kan kr\u00e6ve <a href=\"https:\/\/vibromera.eu\/da\/glossary\/modal-balancing\/\">modal afbalancering<\/a> rettet mod bestemte svingformer.<\/li>\n<li><strong>Placering af korrektionseplanet<\/strong> er mest effektiv ved antinoder, hvor en given masse har st\u00f8rst indflydelse p\u00e5 svingningen.<\/li>\n<li><strong>Nulpunkters placering<\/strong> er det modsatte tilf\u00e6lde: a <a href=\"https:\/\/vibromera.eu\/da\/glossary\/correction-weight\/\">korrektionsv\u00e6gt<\/a> placeret ved et knudepunkt har n\u00e6sten ingen indflydelse p\u00e5 den p\u00e5g\u00e6ldende tilstand.<\/li>\n<\/ul>\n<h3>Fejlanalyse<\/h3>\n<p>Modusformer forklarer ogs\u00e5, hvor der opst\u00e5r skader. Tr\u00e6thedsrevner dannes typisk ved antinoder, hvor b\u00f8jningssp\u00e6ndingen er st\u00f8rst; der er st\u00f8rre risiko for slidskader p\u00e5 lejer, hvor nedb\u00f8jningen er stor; og <a href=\"https:\/\/vibromera.eu\/da\/glossary\/rotor-rub\/\">gnider<\/a> opst\u00e5r, n\u00e5r akselafb\u00f8jningen bringer rotoren t\u00e6t p\u00e5 faste dele.<\/p>\n<h2>5. Bestemmelse af svingningsformer<\/h2>\n<h3>Analytiske metoder<\/h3>\n<h4>Finite Element-analyse (FEA)<\/h4>\n<ul>\n<li>Den mest udbredte moderne tilgang.<\/li>\n<li>Rotoren er modelleret som en k\u00e6de af bj\u00e6lkeelementer, der b\u00e6rer masse, stivhed og inerti.<\/li>\n<li>En egenv\u00e6rdianalyse giver de naturlige frekvenser og de tilh\u00f8rende svingningsformer.<\/li>\n<li>Kan redeg\u00f8re for kompleks geometri, materialeegenskaber, lejeegenskaber<\/li>\n<\/ul>\n<h4>Overf\u00f8rselsmatricemetoden<\/h4>\n<ul>\n<li>En klassisk analysemetode.<\/li>\n<li>Rotoren er opdelt i sektioner med kendte egenskaber.<\/li>\n<li>Overf\u00f8ringsmatricer overf\u00f8rer afb\u00f8jning og kraft langs akslen.<\/li>\n<li>Effektiv til relativt simple akselkonfigurationer<\/li>\n<\/ul>\n<h4>Teorien om kontinuerlige bj\u00e6lker<\/h4>\n<ul>\n<li>For ensartede aksler findes der analytiske l\u00f8sninger i lukket form.<\/li>\n<li>Giver pr\u00e6cise udtryk for enkle tilf\u00e6lde.<\/li>\n<li>Nyttigt til undervisning og til forel\u00f8bigt design.<\/li>\n<\/ul>\n<h3>Eksperimentelle metoder<\/h3>\n<h4>Modaltest (slagpr\u00f8vning)<\/h4>\n<ul>\n<li>Sl\u00e5 p\u00e5 skaftet med en hammer med m\u00e5leinstrumenter flere steder \u2014 en <a href=\"https:\/\/vibromera.eu\/da\/glossary\/bump-test\/\">bumptest<\/a>.<\/li>\n<li>M\u00e5l responsen med <a href=\"https:\/\/vibromera.eu\/da\/glossary\/accelerometer\/\">Accelerometre<\/a> p\u00e5 flere steder.<\/li>\n<li>Det resulterende <a href=\"https:\/\/vibromera.eu\/da\/glossary\/frequency-response-function\/\">frekvensresponsfunktioner<\/a> afsl\u00f8re de naturlige frekvenser.<\/li>\n<li>Modusformen udledes ud fra de relative responsamplituder og -faser.<\/li>\n<\/ul>\n<h4>M\u00e5ling af driftsafb\u00f8jningsprofil (ODS)<\/h4>\n<ul>\n<li>M\u00e5l vibrationerne flere steder under normal drift.<\/li>\n<li>N\u00e6r en kritisk hastighed vil <a href=\"https:\/\/vibromera.eu\/da\/glossary\/ods-analysis\/\">driftsafb\u00f8jningskurve<\/a> giver et billede af modegangen.<\/li>\n<li>Det kan udf\u00f8res, mens rotoren sidder p\u00e5 plads.<\/li>\n<li>Det kr\u00e6ver enten flere sensorer eller en teknik med en bev\u00e6gelig sensor.<\/li>\n<\/ul>\n<h4>N\u00e6rhedssensor-arrayer<\/h4>\n<ul>\n<li>Ikke-kontakt <a href=\"https:\/\/vibromera.eu\/da\/glossary\/proximity-probe\/\">n\u00e6rhedsprober<\/a> p\u00e5 flere steder langs aksen.<\/li>\n<li>M\u00e5l akselafb\u00f8jningen direkte.<\/li>\n<li>Under <a href=\"https:\/\/vibromera.eu\/da\/glossary\/coastdown-analysis\/\">opstart eller udk\u00f8rsel<\/a>, afb\u00f8jningsm\u00f8nsteret afsl\u00f8rer svingningsformerne.<\/li>\n<li>Den mest pr\u00e6cise eksperimentelle metode til maskiner, der er i drift.<\/li>\n<\/ul>\n<h2>6. Hvad der p\u00e5virker en modform<\/h2>\n<h3>Effekter af lejestivhed<\/h3>\n<ul>\n<li><strong>Stive lejer:<\/strong> Der dannes knudepunkter ved lejestederne, og svingningsformerne er mere begr\u00e6nsede.<\/li>\n<li><strong>Fleksible lejer:<\/strong> der opst\u00e5r betydelige bev\u00e6gelser ved lejerne, og svingningsformerne er mere spredte.<\/li>\n<li><strong>Asymmetriske lejer:<\/strong> svingningsformerne er forskellige i henholdsvis vandret og lodret retning.<\/li>\n<\/ul>\n<h3>Hastighedsafh\u00e6ngighed<\/h3>\n<p>For roterende aksler kan svingningsformerne \u00e6ndre sig med hastigheden p\u00e5 grund af:<\/p>\n<ul>\n<li><strong><a href=\"https:\/\/vibromera.eu\/da\/glossary\/gyroscopic-effect\/\">Gyroskopiske effekter<\/a>:<\/strong> De inddeler bev\u00e6gelserne i fremad- og bagudg\u00e5ende hvirvel.<\/li>\n<li><strong>\u00c6ndringer i lejestivhed:<\/strong> v\u00e6skefilm <a href=\"https:\/\/vibromera.eu\/da\/glossary\/journal-bearing\/\">glidelejer<\/a> bliver stivere, n\u00e5r hastigheden stiger.<\/li>\n<li><strong>Centrifugalforsp\u00e6nding:<\/strong> Ved meget h\u00f8je hastigheder \u00f8ger centrifugalkr\u00e6fterne stivheden i slanke komponenter.<\/li>\n<\/ul>\n<h3>Fremadg\u00e5ende kontra bagudg\u00e5ende hvirvel<\/h3>\n<p>I roterende systemer kan hver tilstand antage to former. I <strong>fremskridende whirl<\/strong> akslen <a href=\"https:\/\/vibromera.eu\/da\/glossary\/orbit\/\">banebev\u00e6gelse<\/a> roterer i samme retning som selve akslen; i <strong>tilbageskridende whirl<\/strong> den drejer den modsatte vej. Gyroskopiske effekter medf\u00f8rer, at fremad- og bagudg\u00e5ende bev\u00e6gelser forekommer med forskellige frekvenser \u2014 en frekvensopdeling, som en <a href=\"https:\/\/vibromera.eu\/da\/glossary\/campbell-diagram\/\">Campbell-diagram<\/a> vises tydeligt.<\/p>\n<h2>7. Praktiske anvendelser<\/h2>\n<h3>Designoptimering<\/h3>\n<p>Ingeni\u00f8rer anvender svingningsformanalyse til at placere lejer, s\u00e5 antinoder ikke falder sammen med lejeplaceringerne, til at dimensionere akseldiametre, s\u00e5 kritiske hastigheder holdes uden for driftsomr\u00e5det, til at v\u00e6lge en lejestivhed, der giver et gunstigt modalt respons, og til at tilf\u00f8je eller fjerne masse p\u00e5 strategiske punkter for at \u00e6ndre egenfrekvenserne.<\/p>\n<h3>Fejlfinding<\/h3>\n<p>N\u00e5r der opst\u00e5r for kraftige vibrationer, sammenligner analytikeren driftshastigheden med de forventede kritiske hastigheder, fastsl\u00e5r, om maskinen k\u00f8rer t\u00e6t p\u00e5 en resonansfrekvens, afg\u00f8r, hvilken svingningstilstand der aktiveres, og v\u00e6lger en \u00e6ndring, der flytter den problematiske svingningstilstand v\u00e6k fra driftshastigheden.<\/p>\n<h3>Modal balancering<\/h3>\n<p><a href=\"https:\/\/vibromera.eu\/da\/glossary\/modal-balancing\/\">Modal balancering<\/a> Ved fleksible rotorer afh\u00e6nger det helt af kendskabet til svingningsformerne: Hver svingningsform afbalanceres uafh\u00e6ngigt, korrigerende v\u00e6gte fordeles, s\u00e5 de passer til svingningsformsm\u00f8nsteret, v\u00e6gte placeret ved knudepunkter har ingen indvirkning p\u00e5 den p\u00e5g\u00e6ldende svingningsform, og de optimale korrigerende planer ligger ved antinoderne.<\/p>\n<h2>8. Visualisering og kommunikation<\/h2>\n<p>Svingningsformer pr\u00e6senteres i flere forskellige former \u2014 2D-afb\u00f8jningskurver, der viser sidev\u00e6rts afb\u00f8jning i forhold til den aksiale position; animationer af den svingende aksel; 3D-renderinger af komplekse eller sammenkoblede geometrier; farvekort, der angiver afb\u00f8jningens st\u00f8rrelse; samt tabelformede data, der angiver den numeriske afb\u00f8jning ved bestemte punkter.<\/p>\n<h2>9. Koblede og komplekse svingningsformer<\/h2>\n<h3>Sidel\u00e6ns-vridningskobling<\/h3>\n<p>I visse systemer er b\u00f8jning (sidev\u00e6rts) og vridning (<a href=\"https:\/\/vibromera.eu\/da\/glossary\/torsional-vibration\/\">torsional<\/a>) bev\u00e6gelser p\u00e5virker hinanden gensidigt \u2014 en adf\u00e6rd, der ses ved ikke-cirkul\u00e6re tv\u00e6rsnit eller forskudte belastninger. Modusformen omfatter da b\u00e5de sidev\u00e6rts afb\u00f8jning og vinkelforskydning, og den n\u00f8dvendige analyse bliver derfor tilsvarende mere kompliceret.<\/p>\n<h3>Koblede b\u00f8jningstilstande<\/h3>\n<p>I systemer med asymmetrisk stivhed kobles de vandrette og lodrette svingningsformer sammen; svingningsformerne bliver elliptiske i stedet for plane. Dette ses ofte, n\u00e5r lejer eller underst\u00f8tninger er anisotropiske.<\/p>\n<h2>10. Standarder og retningslinjer<\/h2>\n<p>Der findes flere standarder, der omhandler modformanalyse. <a href=\"https:\/\/vibromera.eu\/da\/glossary\/api-684\/\">API 684<\/a> indeholder retningslinjer for analyse af rotordynamik, herunder beregning af svingningsformer; <a href=\"https:\/\/vibromera.eu\/da\/glossary\/iso-21940-11\/\">ISO 21940-11<\/a> (den moderne efterf\u00f8lger til ISO 1940-1) omhandler modale former i forbindelse med afbalancering af fleksible rotorer, og den tyske standard VDI 3839 behandler modale aspekter ved fleksible rotorer.<\/p>\n<h2>11. Forholdet til Campbell-diagrammer og feltm\u00e5linger<\/h2>\n<p>A <a href=\"https:\/\/vibromera.eu\/da\/glossary\/campbell-diagram\/\">Campbell-diagram<\/a> viser naturlige frekvenser i forhold til hastighed, hvor hver kurve repr\u00e6senterer en svingningsform. Svingningsformen bag hver kurve bestemmer, hvor kraftigt ubalance p\u00e5 forskellige steder ansporer den p\u00e5g\u00e6ldende svingningsform, hvor sensorerne b\u00f8r placeres for at opn\u00e5 maksimal f\u00f8lsomhed, og hvilken type afbalanceringskorrektion der vil fungere bedst. I praksis er det analysatorens rolle p\u00e5 arbejdsb\u00e6nken, der udg\u00f8r den konkrete forbindelse mellem svingningsformer og korrigerende foranstaltninger: N\u00e5r svingningsformanalysen har identificeret antinoderne som de effektive korrektionsplaner, kan et b\u00e6rbart tokanalsinstrument s\u00e5som <a href=\"https:\/\/vibromera.eu\/da\/vare-2\/balanset-1\/\">Balanset-1A<\/a> m\u00e5ler 1\u00d7-amplituden og -fasen ved lejerne og beregner korrektionsv\u00e6gtene, hvilket giver ingeni\u00f8ren mulighed for at gribe ind netop p\u00e5 de planer, som svingningsformen har fremh\u00e6vet. N\u00e5r man forst\u00e5r svingningsformer p\u00e5 denne m\u00e5de, forvandles rotordynamikken fra en abstrakt matematisk forudsigelse til en fysisk indsigt i, hvordan det virkelige maskineri opf\u00f8rer sig \u2014 hvilket muligg\u00f8r bedre konstruktion, mere pr\u00e6cis fejlfinding og mere effektiv afbalancering af alle former for roterende udstyr.<\/p>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/da\/glossary\/\">\u2190 Tilbage til hovedindekset<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>L\u00e6r om modeformer, de karakteristiske afb\u00f8jningsm\u00f8nstre for roterende aksler ved naturlige frekvenser, hvilket er afg\u00f8rende for at forst\u00e5 kritiske hastigheder og fleksibel rotoradf\u00e6rd.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[109,111],"tags":[],"class_list":["post-165","glossary","type-glossary","status-publish","hentry","category-glossary","category-rotor-balancing"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/glossary\/165","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/glossary\/165\/revisions"}],"predecessor-version":[{"id":101438,"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/glossary\/165\/revisions\/101438"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/media?parent=165"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/categories?post=165"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/da\/wp-json\/wp\/v2\/tags?post=165"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}