{"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\/sv\/glossary\/mode-shape\/","title":{"rendered":"Vad \u00e4r modform i rotordynamik?"},"content":{"rendered":"<h1>F\u00f6rst\u00e5 l\u00e4gesformer 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\/sv\/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\/sv\/product\/balanset-1\/\" title=\"Portabel balanserare &amp; 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 komplett kit med portabel balanserare och 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\/sv\/product-category\/devices\/\" rel=\"tag\">Enheter<\/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\/sv\/product\/balanset-1\/\" title=\"Portabel balanserare &amp; vibrationsanalysator Balanset-1A\">Portabel balanserare &amp; 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 (om till\u00e4mpligt)<\/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=\"\/sv\/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=\"L\u00e4gg till i varukorg\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"L\u00e4gg till i varukorg\" 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=\"\/sv\/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\u00e4gg till i varukorgen: \u201dPortable balancer &amp; Vibration analyzer Balanset-1A\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Portable balancer &amp; Vibration analyzer Balanset-1A&quot; har lagts till i din varukorg\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">L\u00e4gg till i varukorg<\/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\/sv\/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\/sv\/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 - n\u00e4rbild\" 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\/sv\/product-category\/parts\/\" rel=\"tag\">Delar<\/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\/sv\/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 (om till\u00e4mpligt)<\/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=\"\/sv\/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=\"L\u00e4gg till i varukorg\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"L\u00e4gg till i varukorg\" 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=\"\/sv\/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\u00e4gg till i varukorgen: \u201dVibration sensor\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Vibration sensor&quot; har lagts till i din varukorg\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">L\u00e4gg till i varukorg<\/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\/sv\/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\/sv\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optisk sensor (lasertakometer)\">\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 (lasertakometer)\" 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\/sv\/product-category\/parts\/\" rel=\"tag\">Delar<\/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\/sv\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optisk sensor (lasertakometer)\">Optisk sensor (lasertakometer)<\/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 (om till\u00e4mpligt)<\/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=\"\/sv\/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=\"L\u00e4gg till i varukorg\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"L\u00e4gg till i varukorg\" 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=\"\/sv\/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\u00e4gg till i varukorgen: \u201dOptical Sensor (Laser Tachometer)\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Optical Sensor (Laser Tachometer)&quot; har lagts till i din varukorg\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">L\u00e4gg till i varukorg<\/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\/sv\/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\/sv\/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 rotorbalanseringssats: b\u00e4rv\u00e4ska, flerkanalig signalkonditionerare, handh\u00e5llen analysator, magnetisk bas, vibrationssensorer och spiralformade kablar.\" 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\/sv\/product-category\/devices\/\" rel=\"tag\">Enheter<\/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\/sv\/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 (om till\u00e4mpligt)<\/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=\"\/sv\/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=\"L\u00e4gg till i varukorg\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"L\u00e4gg till i varukorg\" 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=\"\/sv\/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\u00e4gg till i varukorgen: \u201dBalanset-4\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Balanset-4&quot; har lagts till i din varukorg\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">L\u00e4gg till i varukorg<\/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\/sv\/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\/sv\/product\/magnet-stand\/\" title=\"Magnetiskt 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=\"Magnetf\u00e4ste.\" 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\/sv\/product-category\/parts\/\" rel=\"tag\">Delar<\/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\/sv\/product\/magnet-stand\/\" title=\"Magnetiskt stativ Insize-60-kgf\">Magnetiskt 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 (om till\u00e4mpligt)<\/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=\"\/sv\/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=\"L\u00e4gg till i varukorg\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"L\u00e4gg till i varukorg\" 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=\"\/sv\/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\u00e4gg till i varukorgen: \u201dMagnetic Stand Insize-60-kgf\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Magnetic Stand Insize-60-kgf&quot; har lagts till i din varukorg\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">L\u00e4gg till i varukorg<\/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\/sv\/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\/sv\/product\/reflective-tape\/\" title=\"Reflekterande tejp\">\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=\"Reflekterande tejp\" 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\/sv\/product-category\/parts\/\" rel=\"tag\">Delar<\/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\/sv\/product\/reflective-tape\/\" title=\"Reflekterande tejp\">Reflekterande tejp<\/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 (om till\u00e4mpligt)<\/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=\"\/sv\/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=\"L\u00e4gg till i varukorg\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"L\u00e4gg till i varukorg\" 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=\"\/sv\/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\u00e4gg till i varukorgen: \u201dReflective tape\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Reflective tape&quot; har lagts till i din varukorg\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">L\u00e4gg till i varukorg<\/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\/sv\/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\/sv\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dynamisk balanserare &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-kit, inneh\u00e5ll med gr\u00e4nssnittsenhet, givare, varvr\u00e4knare och tillbeh\u00f6r\" 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\/sv\/product-category\/devices\/\" rel=\"tag\">Enheter<\/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\/sv\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dynamisk balanserare &quot;Balanset-1A&quot; OEM\">Dynamisk balanserare \"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 (om till\u00e4mpligt)<\/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=\"\/sv\/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=\"L\u00e4gg till i varukorg\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"L\u00e4gg till i varukorg\" 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=\"\/sv\/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\u00e4gg till i varukorgen: \u201dDynamic balancer \u201cBalanset-1A\u201d OEM\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Dynamic balancer \u201cBalanset-1A\u201d OEM&quot; har lagts till i din varukorg\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">L\u00e4gg till i varukorg<\/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>l\u00e4gesform<\/strong> \u2014 \u00e4ven kallad sv\u00e4ngningsform eller egenform \u2014 \u00e4r det karakteristiska rumsliga deformationsm\u00f6nster som en <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/rotor\/\">rotor<\/a> systemet antar n\u00e4r det vibrerar vid en av sina <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/natural-frequency\/\">naturliga frekvenser<\/a>. Den beskriver den relativa amplituden och <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/phase\/\">fas<\/a> r\u00f6relse vid varje punkt l\u00e4ngs axeln n\u00e4r systemet sv\u00e4nger fritt vid just den <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/resonance\/\">resonant<\/a> frekvens. Varje sv\u00e4ngningsform \u00e4r kopplad till en egenfrekvens, och tillsammans utg\u00f6r dessa en fullst\u00e4ndig beskrivning av systemets dynamiska beteende. Att f\u00f6rst\u00e5 sv\u00e4ngningsformer \u00e4r avg\u00f6rande f\u00f6r <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/rotor-dynamics\/\">rotordynamik<\/a>, eftersom de avg\u00f6r var <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/critical-speed\/\">kritiska hastigheter<\/a> uppst\u00e5r och hur rotorn reagerar p\u00e5 de krafter som p\u00e5verkar den.<\/p>\n<h2>1. Definition och fysikalisk betydelse<\/h2>\n<p>N\u00e4r en konstruktion uts\u00e4tts f\u00f6r en st\u00f6rning och f\u00e5r vibrera av sig sj\u00e4lv r\u00f6r den sig inte godtyckligt. Den stabiliseras i ett f\u00e5tal typiska m\u00f6nster, d\u00e4r varje m\u00f6nster sv\u00e4nger med sin egen frekvens, precis som en gitarrstr\u00e4ng ger upphov till en grundton och en rad \u00f6vertoner. F\u00f6r en rotor \u00e4r dessa f\u00f6redragna m\u00f6nster dess sv\u00e4ngningsformer, och de frekvenser vid vilka de upptr\u00e4der \u00e4r dess naturliga frekvenser. Faran med roterande maskiner \u00e4r att en rotors varvtal kan sammanfalla med en av dessa naturliga frekvenser; n\u00e4r detta sker drivs den motsvarande sv\u00e4ngningsformen in i <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/resonance\/\">resonans<\/a> och vibrationsamplituderna \u00f6kar kraftigt. Genom att k\u00e4nna till formerna i f\u00f6rv\u00e4g kan ingenj\u00f6ren avg\u00f6ra var rotorn kommer att b\u00f6jas mest, var den knappt kommer att r\u00f6ra sig och d\u00e4rmed var man b\u00f6r ingripa.<\/p>\n<h2>2. Visualisering av sv\u00e4ngningsformer<\/h2>\n<p>Sv\u00e4ngningsformer kan b\u00e4st beskrivas som rotoraxelns nedb\u00f6jningskurvor.<\/p>\n<h3>F\u00f6rsta sv\u00e4ngningsformen (grundformen)<\/h3>\n<ul>\n<li><strong>Form:<\/strong> en enkel b\u00e5ge, som ett hopprep med en enda buk.<\/li>\n<li><strong>Node points:<\/strong> inga interna \u2014 axeln st\u00f6ds av lagren, som fungerar som ungef\u00e4rliga noder.<\/li>\n<li><strong>Maximal nedb\u00f6jning:<\/strong> vanligtvis ungef\u00e4r mitt emellan lagren.<\/li>\n<li><strong>Frekvens:<\/strong> systemets l\u00e4gsta egenfrekvens.<\/li>\n<li><strong>Kritisk varvtal:<\/strong> det f\u00f6rsta kritiska varvtalet motsvarar denna sv\u00e4ngningsform.<\/li>\n<\/ul>\n<h3>Andra l\u00e4get<\/h3>\n<ul>\n<li><strong>Form:<\/strong> en S-kurva med en knutpunkt i mitten.<\/li>\n<li><strong>Node points:<\/strong> en intern nod, d\u00e4r axelns avb\u00f6jning \u00e4r noll.<\/li>\n<li><strong>Maximal nedb\u00f6jning:<\/strong> p\u00e5 tv\u00e5 platser, en p\u00e5 vardera sidan om noden.<\/li>\n<li><strong>Frekvens:<\/strong> h\u00f6gre \u00e4n den f\u00f6rsta sv\u00e4ngningsformen, ofta tre till fem g\u00e5nger dess frekvens.<\/li>\n<li><strong>Kritisk varvtal:<\/strong> den andra kritiska hastigheten.<\/li>\n<\/ul>\n<h3>Tredje l\u00e4get och h\u00f6gre<\/h3>\n<ul>\n<li><strong>Form:<\/strong> allt mer komplexa v\u00e5gm\u00f6nster.<\/li>\n<li><strong>Node points:<\/strong> tv\u00e5 f\u00f6r det tredje l\u00e4get, tre f\u00f6r det fj\u00e4rde och s\u00e5 vidare.<\/li>\n<li><strong>Frekvens:<\/strong> gradvis h\u00f6gre.<\/li>\n<li><strong>Praktisk betydelse:<\/strong> g\u00e4ller vanligtvis endast vid mycket h\u00f6ga hastigheter eller mycket <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/flexible-rotor\/\">flexibla rotorer<\/a>.<\/li>\n<\/ul>\n<h2>3. Viktiga egenskaper hos sv\u00e4ngningsformer<\/h2>\n<h3>Ortogonalitet<\/h3>\n<p>Olika sv\u00e4ngningsformer \u00e4r matematiskt ortogonala \u2013 det vill s\u00e4ga oberoende av varandra. I ett idealiskt linj\u00e4rt system exciterar energi som tillf\u00f6rs vid en modalfrekvens inte de andra, vilket \u00e4r just det som g\u00f6r det m\u00f6jligt f\u00f6r ingenj\u00f6rer att behandla och korrigera varje sv\u00e4ngningsform separat.<\/p>\n<h3>Normalisation<\/h3>\n<p>Modformerna normaliseras vanligtvis, varvid den maximala deformationen skalas till ett referensv\u00e4rde (ofta 1,0) s\u00e5 att formerna kan j\u00e4mf\u00f6ras. Den faktiska deformationens storlek under drift beror p\u00e5 belastningens amplitud och systemet <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/damping\/\">d\u00e4mpning<\/a>.<\/p>\n<h3>Nodpunkter<\/h3>\n<p><strong>Noder<\/strong> \u00e4r punkter l\u00e4ngs axeln d\u00e4r nedb\u00f6jningen f\u00f6rblir noll under vibration i den sv\u00e4ngningsformen. Antalet inre noder \u00e4r lika med modnumret minus ett:<\/p>\n<ul>\n<li>f\u00f6rsta l\u00e4get: 0 interna noder;<\/li>\n<li>andra l\u00e4get: 1 intern nod;<\/li>\n<li>tredje l\u00e4get: 2 interna noder.<\/li>\n<\/ul>\n<p>A <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/nodal-point\/\">nodpunkt<\/a> \u00e4r en punkt utan r\u00f6relse i en viss sv\u00e4ngningsform \u2013 ett faktum som f\u00e5r direkta konsekvenser f\u00f6r b\u00e5de sensorplacering och balansering.<\/p>\n<h3>Antinodpunkter<\/h3>\n<p><strong>Antinoder<\/strong> \u00e4r de punkter d\u00e4r avb\u00f6jningen \u00e4r som st\u00f6rst i en modform. Det \u00e4r de punkter d\u00e4r b\u00f6jsp\u00e4nningen \u00e4r som h\u00f6gst och d\u00e4r det d\u00e4rf\u00f6r \u00e4r st\u00f6rst risk f\u00f6r utmattning och brott vid resonansvibrationer.<\/p>\n<h2>4. Varf\u00f6r sv\u00e4ngningsformer \u00e4r viktiga<\/h2>\n<h3>Best\u00e4mning av kritiska varvtal<\/h3>\n<p>Varje l\u00e4gesform motsvarar en <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/critical-speed\/\">kritisk hastighet<\/a>. N\u00e4r driftvarvtalet sammanfaller med en egenfrekvens exciteras den sv\u00e4ngningsformen, rotorn b\u00f6js enligt sv\u00e4ngningsformens m\u00f6nster, och <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/unbalance\/\">obalans<\/a> krafterna ger upphov till st\u00f6rst vibration d\u00e4r de sammanfaller med antinoderna. Ett <a href=\"https:\/\/vibromera.eu\/sv\/calculators\/rotor-critical-speed\/\">Ber\u00e4kningsverktyg f\u00f6r rotorns kritiska hastighet<\/a> ger en snabb f\u00f6rsta uppskattning av var dessa hastigheter ligger i f\u00f6rh\u00e5llande till driftsomr\u00e5det.<\/p>\n<h3>Balanseringsstrategi<\/h3>\n<p>Sv\u00e4ngningsformer styr valet av <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/balansering\/\">balansering<\/a> approach:<\/p>\n<ul>\n<li><strong><a href=\"https:\/\/vibromera.eu\/sv\/glossary\/rigid-rotor\/\">Stela rotorer<\/a><\/strong> k\u00f6rs under det f\u00f6rsta kritiska varvtalet; enkel <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/two-plane-balancing\/\">tv\u00e5plansbalansering<\/a> is sufficient.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/sv\/glossary\/flexible-rotor\/\">Flexibla rotorer<\/a><\/strong> ligger \u00f6ver det f\u00f6rsta kritiska varvtalet och kan beh\u00f6va <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/modal-balancing\/\">modal balansering<\/a> inriktade p\u00e5 specifika sv\u00e4ngningsformer.<\/li>\n<li><strong>Placering av korrigeringsplan<\/strong> \u00e4r mest effektiv vid antinoder, d\u00e4r en given massa har st\u00f6rst inverkan p\u00e5 sv\u00e4ngningsl\u00e4get.<\/li>\n<li><strong>Node locations<\/strong> \u00e4r det motsatta fallet: ett <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/correction-weight\/\">korrigeringsvikt<\/a> placerad vid en nod har n\u00e4stan ingen inverkan p\u00e5 det l\u00e4get.<\/li>\n<\/ul>\n<h3>Felanalys<\/h3>\n<p>Sv\u00e4ngningsformer f\u00f6rklarar ocks\u00e5 var skador uppst\u00e5r. Utmattningssprickor bildas vanligtvis vid antinoder, d\u00e4r b\u00f6jsp\u00e4nningen \u00e4r som h\u00f6gst; lagerskador \u00e4r mer sannolika d\u00e4r nedb\u00f6jningen \u00e4r stor; och <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/rotor-rub\/\">gnuggar<\/a> uppst\u00e5r n\u00e4r axelns b\u00f6jning g\u00f6r att rotorn kommer n\u00e4ra stillast\u00e5ende delar.<\/p>\n<h2>5. Best\u00e4mning av sv\u00e4ngningsformer<\/h2>\n<h3>Analytiska metoder<\/h3>\n<h4>Finita elementanalys (FEA)<\/h4>\n<ul>\n<li>Den vanligaste moderna metoden.<\/li>\n<li>Rotorn \u00e4r modellerad som en kedja av balkelement som b\u00e4r upp massa, styvhet och tr\u00f6ghet.<\/li>\n<li>En egenv\u00e4rdesanalys ger de naturliga frekvenserna och motsvarande sv\u00e4ngningsformer.<\/li>\n<li>Kan redog\u00f6ra f\u00f6r komplex geometri, materialegenskaper, lageregenskaper<\/li>\n<\/ul>\n<h4>\u00d6verf\u00f6ringsmatrismetoden<\/h4>\n<ul>\n<li>En klassisk analysmetod.<\/li>\n<li>Rotorn \u00e4r indelad i sektioner med k\u00e4nda egenskaper.<\/li>\n<li>\u00d6verf\u00f6ringsmatriser \u00f6verf\u00f6r b\u00f6jning och kraft l\u00e4ngs axeln.<\/li>\n<li>Effektiv f\u00f6r relativt enkla axelkonfigurationer<\/li>\n<\/ul>\n<h4>Teorin om kontinuerliga balkar<\/h4>\n<ul>\n<li>F\u00f6r likformiga axlar finns analytiska l\u00f6sningar i sluten form.<\/li>\n<li>Ger exakta uttryck f\u00f6r enkla fall.<\/li>\n<li>Anv\u00e4ndbart f\u00f6r undervisning och f\u00f6r inledande projektering.<\/li>\n<\/ul>\n<h3>Experimentella metoder<\/h3>\n<h4>Modaltestning (slagprovning)<\/h4>\n<ul>\n<li>Sl\u00e5 p\u00e5 axeln med en instrumenterad hammare p\u00e5 flera st\u00e4llen \u2014 en <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/bump-test\/\">bumptest<\/a>.<\/li>\n<li>M\u00e4t responsen med <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/accelerometer\/\">accelerometrar<\/a> p\u00e5 flera st\u00e4llen.<\/li>\n<li>Det resulterande <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/frequency-response-function\/\">frekvensresponsfunktioner<\/a> visar egenfrekvenserna.<\/li>\n<li>Sv\u00e4ngningsformen best\u00e4ms utifr\u00e5n de relativa responsamplituderna och faserna.<\/li>\n<\/ul>\n<h4>M\u00e4tning av driftsavb\u00f6jningsform (ODS)<\/h4>\n<ul>\n<li>M\u00e4t vibrationerna p\u00e5 flera st\u00e4llen under normal drift.<\/li>\n<li>N\u00e4ra ett kritiskt varvtal ger <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/ods-analysis\/\">driftavb\u00f6jningsform<\/a> en ungef\u00e4rlig bild av sv\u00e4ngningsformen.<\/li>\n<li>Det kan utf\u00f6ras med rotorn kvar p\u00e5 plats.<\/li>\n<li>Det kr\u00e4vs antingen flera sensorer eller en teknik med r\u00f6rliga sensorer.<\/li>\n<\/ul>\n<h4>N\u00e4rhetsgivararrayer<\/h4>\n<ul>\n<li>Kontaktl\u00f6s <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/proximity-probe\/\">n\u00e4rhetsprober<\/a> p\u00e5 flera platser l\u00e4ngs axeln.<\/li>\n<li>M\u00e4t axelns b\u00f6jning direkt.<\/li>\n<li>During <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/coastdown-analysis\/\">uppstart eller nedvarvning<\/a>, visar avb\u00f6jningsm\u00f6nstret vilka sv\u00e4ngningsformer som f\u00f6rekommer.<\/li>\n<li>Den mest exakta experimentella metoden f\u00f6r maskiner som \u00e4r i drift.<\/li>\n<\/ul>\n<h2>6. Vad som f\u00f6r\u00e4ndrar en sv\u00e4ngningsform<\/h2>\n<h3>Effekter av lagerstyvhet<\/h3>\n<ul>\n<li><strong>Stela lager:<\/strong> Det bildas knutpunkter vid lagerst\u00e4llena och sv\u00e4ngningsformerna blir mer begr\u00e4nsade.<\/li>\n<li><strong>Flexibla lager:<\/strong> Det uppst\u00e5r betydande r\u00f6relser vid lagren och sv\u00e4ngningsformerna \u00e4r mer utspridda.<\/li>\n<li><strong>Asymmetriska lager:<\/strong> sv\u00e4ngningsformerna skiljer sig \u00e5t mellan horisontell och vertikal riktning.<\/li>\n<\/ul>\n<h3>Hastighetsberoende<\/h3>\n<p>F\u00f6r roterande axlar kan sv\u00e4ngningsformerna f\u00f6rskjutas med varvtalet p\u00e5 grund av:<\/p>\n<ul>\n<li><strong><a href=\"https:\/\/vibromera.eu\/sv\/glossary\/gyroscopic-effect\/\">Gyroskopiska effekter<\/a>:<\/strong> de delar upp sv\u00e4ngningsformer i fram\u00e5t- och bak\u00e5tvirvel.<\/li>\n<li><strong>F\u00f6r\u00e4ndringar i lagerstyvheten:<\/strong> fluid-film <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/journal-bearing\/\">glidlager<\/a> blir styvare n\u00e4r hastigheten \u00f6kar.<\/li>\n<li><strong>Centrifugaluppstyvning:<\/strong> Vid mycket h\u00f6ga hastigheter bidrar centrifugalkrafterna till att \u00f6ka styvheten hos smala komponenter.<\/li>\n<\/ul>\n<h3>Fram\u00e5triktad virvel kontra bak\u00e5triktad virvel<\/h3>\n<p>I roterande system kan varje sv\u00e4ngningsform f\u00f6rekomma i tv\u00e5 varianter. I <strong>forward whirl<\/strong> the shaft <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/orbit\/\">bana<\/a> roterar i samma riktning som sj\u00e4lva axeln; i <strong>backward whirl<\/strong> den roterar \u00e5t motsatt h\u00e5ll. Gyroskopiska effekter g\u00f6r att de fram\u00e5tg\u00e5ende och bak\u00e5tg\u00e5ende versionerna upptr\u00e4der vid olika frekvenser \u2013 en frekvensuppdelning som en <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/campbell-diagram\/\">Campbell-diagrammet<\/a> visas tydligt.<\/p>\n<h2>7. Praktiska till\u00e4mpningar<\/h2>\n<h3>Designoptimering<\/h3>\n<p>Ingenj\u00f6rer anv\u00e4nder modformanalys f\u00f6r att placera lager s\u00e5 att antinoder inte hamnar vid lagerplaceringarna, f\u00f6r att dimensionera axeldiametrar som f\u00f6rskjuter kritiska varvtal utanf\u00f6r driftsomr\u00e5det, f\u00f6r att v\u00e4lja lagerstyvhet som ger ett gynnsamt modalt svar samt f\u00f6r att l\u00e4gga till eller ta bort massa p\u00e5 strategiska st\u00e4llen f\u00f6r att f\u00f6rskjuta egenfrekvenserna.<\/p>\n<h3>Fels\u00f6kning<\/h3>\n<p>N\u00e4r onormala vibrationer uppst\u00e5r j\u00e4mf\u00f6r analytikern driftsvarvtalet med de ber\u00e4knade kritiska varvtalen, fastst\u00e4ller om maskinen g\u00e5r n\u00e4ra en resonansfrekvens, avg\u00f6r vilken sv\u00e4ngningsform som exciteras och v\u00e4ljer en \u00e5tg\u00e4rd som f\u00f6rskjuter den problematiska sv\u00e4ngningsformen bort fr\u00e5n driftsvarvtalet.<\/p>\n<h3>Modal balansering<\/h3>\n<p><a href=\"https:\/\/vibromera.eu\/sv\/glossary\/modal-balancing\/\">Modal balansering<\/a> Vid konstruktion av flexibla rotorer \u00e4r det avg\u00f6rande att k\u00e4nna till sv\u00e4ngningsformerna: varje sv\u00e4ngningsform balanseras separat, korrigeringsvikter f\u00f6rdelas s\u00e5 att de \u00f6verensst\u00e4mmer med sv\u00e4ngningsformsm\u00f6nstret, vikter som placeras vid noder p\u00e5verkar inte den aktuella sv\u00e4ngningsformen, och de optimala korrigeringsplanen placeras vid antinoderna.<\/p>\n<h2>8. Visualisering och kommunikation<\/h2>\n<p>Sv\u00e4ngningsformer presenteras i flera olika former \u2013 2D-b\u00f6jningskurvor som visar sidoutb\u00f6jningen i f\u00f6rh\u00e5llande till den axiella positionen; animationer av den sv\u00e4ngande axeln; 3D-renderingar f\u00f6r komplexa eller kopplade geometrier; f\u00e4rgkartor som visar utb\u00f6jningens storlek; samt tabelldata som anger den numeriska utb\u00f6jningen vid enskilda m\u00e4tpunkter.<\/p>\n<h2>9. Kopplade och komplexa sv\u00e4ngningsformer<\/h2>\n<h3>Koppling mellan b\u00f6jning och vridning<\/h3>\n<p>I vissa system \u00e4r b\u00f6jningen (i sidled) och vridningen (<a href=\"https:\/\/vibromera.eu\/sv\/glossary\/torsional-vibration\/\">torsionell<\/a>) r\u00f6relser samverkar \u2013 ett beteende som observeras vid icke-cirkul\u00e4ra tv\u00e4rsnitt eller f\u00f6rskjutna belastningar. Modformen omfattar d\u00e5 b\u00e5de sidoutb\u00f6jning och vridning, och den n\u00f6dv\u00e4ndiga analysen blir f\u00f6ljaktligen mer komplicerad.<\/p>\n<h3>Kopplade b\u00f6jningsl\u00e4gen<\/h3>\n<p>I system med asymmetrisk styvhet kopplas de horisontella och vertikala sv\u00e4ngningsformerna samman; sv\u00e4ngningsformerna blir elliptiska ist\u00e4llet f\u00f6r plana. Detta \u00e4r vanligt n\u00e4r lager eller st\u00f6d \u00e4r anisotropa.<\/p>\n<h2>10. Standarder och riktlinjer<\/h2>\n<p>Det finns flera standarder som behandlar modformanalys. <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/api-684\/\">API 684<\/a> inneh\u00e5ller riktlinjer f\u00f6r rotordynamisk analys, inklusive ber\u00e4kning av sv\u00e4ngningsformer; <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/iso-21940-11\/\">ISO 21940-11<\/a> (den moderna efterf\u00f6ljaren till ISO 1940-1) h\u00e4nvisar till sv\u00e4ngningsformer i samband med balansering av flexibla rotorer, och den tyska standarden VDI 3839 behandlar modala aspekter f\u00f6r flexibla rotorer.<\/p>\n<h2>11. Sambandet med Campbells diagram och f\u00e4ltm\u00e4tningar<\/h2>\n<p>A <a href=\"https:\/\/vibromera.eu\/sv\/glossary\/campbell-diagram\/\">Campbell-diagrammet<\/a> visar naturliga frekvenser mot varvtal, d\u00e4r varje kurva representerar en sv\u00e4ngningsform. Sv\u00e4ngningsformen bakom varje kurva avg\u00f6r hur starkt obalans p\u00e5 olika st\u00e4llen exciterar den, var sensorerna b\u00f6r placeras f\u00f6r maximal k\u00e4nslighet och vilken typ av balanseringskorrigering som fungerar b\u00e4st. I praktiken \u00e4r det analysinstrumentet p\u00e5 provb\u00e4nken som utg\u00f6r den konkreta kopplingen mellan modformer och korrigerande \u00e5tg\u00e4rder: n\u00e4r modformanalysen har identifierat antinoderna som de effektiva korrigeringsplanen, kan ett b\u00e4rbart tv\u00e5kanalsinstrument s\u00e5som <a href=\"https:\/\/vibromera.eu\/sv\/produkt\/balanset-1\/\">Balanset-1A<\/a> m\u00e4ter 1\u00d7-amplituden och fasen vid lagren och ber\u00e4knar korrigeringsvikterna, vilket g\u00f6r det m\u00f6jligt f\u00f6r ingenj\u00f6ren att vidta \u00e5tg\u00e4rder just p\u00e5 de plan som modformen har pekat ut. Genom att f\u00f6rst\u00e5 modformer p\u00e5 detta s\u00e4tt f\u00f6rvandlas rotordynamiken fr\u00e5n en abstrakt matematisk prognos till fysisk insikt om hur verkliga maskiner beter sig \u2013 vilket m\u00f6jligg\u00f6r b\u00e4ttre konstruktion, skarpare fels\u00f6kning och effektivare balansering f\u00f6r alla typer av roterande utrustning.<\/p>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/sv\/glossary\/\">\u2190 Tillbaka till huvudregistret<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>L\u00e4r dig om l\u00e4gesformer, de karakteristiska avb\u00f6jningsm\u00f6nstren f\u00f6r roterande axlar vid naturliga frekvenser, vilket \u00e4r avg\u00f6rande f\u00f6r att f\u00f6rst\u00e5 kritiska hastigheter och flexibelt rotorbeteende.<\/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\/sv\/wp-json\/wp\/v2\/glossary\/165","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/sv\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/sv\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/sv\/wp-json\/wp\/v2\/glossary\/165\/revisions"}],"predecessor-version":[{"id":101438,"href":"https:\/\/vibromera.eu\/sv\/wp-json\/wp\/v2\/glossary\/165\/revisions\/101438"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/sv\/wp-json\/wp\/v2\/media?parent=165"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/sv\/wp-json\/wp\/v2\/categories?post=165"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/sv\/wp-json\/wp\/v2\/tags?post=165"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}