{"id":217,"date":"2025-10-31T00:25:51","date_gmt":"2025-10-31T00:25:51","guid":{"rendered":"https:\/\/vibromera.eu\/glossary\/rotor-dynamics\/"},"modified":"2026-05-23T23:06:08","modified_gmt":"2026-05-23T23:06:08","slug":"rotor-dynamics","status":"publish","type":"glossary","link":"https:\/\/vibromera.eu\/ca\/glossary\/rotor-dynamics\/","title":{"rendered":"What is Rotor Dynamics? Theory and Applications"},"content":{"rendered":"<h1>Understanding Rotor Dynamics<\/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\/ca\/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\/ca\/product\/balanset-1\/\" title=\"Portable balancer &amp; Vibration analyzer Balanset-1A\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Balanset-1A full kit portable balancer and vibration analyzer\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-18x12.webp 18w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-272x182.webp 272w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/ca\/product-category\/devices\/\" rel=\"tag\">Devices<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/ca\/product\/balanset-1\/\" title=\"Portable balancer &amp; Vibration analyzer Balanset-1A\">Portable balancer &amp; Vibration analyzer Balanset-1A<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>1,975.00<\/span> + VAT (if applicable)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/ca\/wp-json\/wp\/v2\/glossary\/217?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=\"Afegeix a la cistella\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Afegeix a la cistella\" 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=\"\/ca\/wp-json\/wp\/v2\/glossary\/217?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=\"Afegeix a la cistella: \u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d\" rel=\"nofollow\" data-success_message=\"\u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d s&#039;ha afegit a la vostra cistella\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Afegeix a la cistella<\/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\/ca\/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\/ca\/product\/vibration-sensor\/\" title=\"Vibration sensor\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Balanset-1A vibration sensor close-up\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-1024x682.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3.webp 1280w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/ca\/product-category\/parts\/\" rel=\"tag\">Parts<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/ca\/product\/vibration-sensor\/\" title=\"Vibration sensor\">Vibration sensor<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>90.00<\/span> + VAT (if applicable)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/ca\/wp-json\/wp\/v2\/glossary\/217?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=\"Afegeix a la cistella\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Afegeix a la cistella\" 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=\"\/ca\/wp-json\/wp\/v2\/glossary\/217?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=\"Afegeix a la cistella: \u201cVibration sensor\u201d\" rel=\"nofollow\" data-success_message=\"\u201cVibration sensor\u201d s&#039;ha afegit a la vostra cistella\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Afegeix a la cistella<\/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\/ca\/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\/ca\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optical Sensor (Laser Tachometer)\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Optical Sensor (Laser Tachometer)\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-1024x682.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-1536x1023.webp 1536w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-18x12.webp 18w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-460x306.webp 460w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU.webp 1600w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/ca\/product-category\/parts\/\" rel=\"tag\">Parts<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/ca\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optical Sensor (Laser Tachometer)\">Optical Sensor (Laser Tachometer)<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>124.00<\/span> + VAT (if applicable)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/ca\/wp-json\/wp\/v2\/glossary\/217?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=\"Afegeix a la cistella\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Afegeix a la cistella\" 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=\"\/ca\/wp-json\/wp\/v2\/glossary\/217?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=\"Afegeix a la cistella: \u201cOptical Sensor (Laser Tachometer)\u201d\" rel=\"nofollow\" data-success_message=\"\u201cOptical Sensor (Laser Tachometer)\u201d s&#039;ha afegit a la vostra cistella\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Afegeix a la cistella<\/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\/ca\/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\/ca\/product\/balanset-4\/\" title=\"Balanset-4\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Vibromera rotor balancing kit: carry case, multi-channel signal conditioner, handheld analyzer, magnetic base, vibration sensors, and coiled cables.\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-18x12.webp 18w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-460x306.webp 460w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4.webp 640w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/ca\/product-category\/devices\/\" rel=\"tag\">Devices<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/ca\/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> + VAT (if applicable)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/ca\/wp-json\/wp\/v2\/glossary\/217?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=\"Afegeix a la cistella\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Afegeix a la cistella\" 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=\"\/ca\/wp-json\/wp\/v2\/glossary\/217?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=\"Afegeix a la cistella: \u201cBalanset-4\u201d\" rel=\"nofollow\" data-success_message=\"\u201cBalanset-4\u201d s&#039;ha afegit a la vostra cistella\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Afegeix a la cistella<\/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\/ca\/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\/ca\/product\/magnet-stand\/\" title=\"Magnetic Stand Insize-60-kgf\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Magnet base.\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-1024x682.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36.webp 1280w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span 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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 contents with interface unit, sensors, tachometer and accessories\" 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, 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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\/ca\/product-category\/devices\/\" rel=\"tag\">Devices<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/ca\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dynamic balancer \u201cBalanset-1A\u201d OEM\">Dynamic balancer \u201cBalanset-1A\u201d OEM<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>1,735.00<\/span> + VAT (if applicable)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/ca\/wp-json\/wp\/v2\/glossary\/217?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=\"Afegeix a la cistella\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Afegeix a la cistella\" 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=\"\/ca\/wp-json\/wp\/v2\/glossary\/217?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=\"Afegeix a la cistella: \u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d\" rel=\"nofollow\" data-success_message=\"\u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d s&#039;ha afegit a la vostra cistella\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Afegeix a la cistella<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_4193\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/section>\n\t\t\n<p><strong>Rotor dynamics<\/strong> is the specialised branch of mechanical engineering that studies the behaviour of rotating systems \u2014 above all the <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/vibration\/\">vibration<\/a>, stability, and response of <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/rotor\/\">rotors<\/a> carried on bearings. It draws together dynamics, mechanics of materials, control theory, and vibration analysis to predict and control how a machine behaves across its whole operating speed range. The discipline is what lets engineers design, analyse, and troubleshoot rotating equipment of every scale \u2014 from a small high-speed turbomolecular pump to a 300-tonne turbine-generator \u2014 with confidence that it will run safely and reliably for its service life.<\/p>\n<h2>1. Fundamental Concepts in Rotor Dynamics<\/h2>\n<p>Several ideas distinguish a spinning rotor from an ordinary stationary structure. The most important is that a rotor&#8217;s dynamic properties are <em>speed-dependent<\/em>: stiffness, damping, and gyroscopic effects all change as the machine accelerates, so its behaviour cannot be understood from a single static model.<\/p>\n<h3>Critical Speeds and Natural Frequencies<\/h3>\n<p>Every rotor system has one or more <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/critical-speed\/\">critical speeds<\/a> \u2014 rotational speeds at which a <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/natural-frequency\/\">natural frequency<\/a> of the system is excited, producing <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/resonance\/\">resonance<\/a> and a sharp amplification of vibration. Identifying and managing critical speeds is arguably the single most fundamental task in rotor dynamics, because operating too close to one can drive amplitudes to destructive levels in seconds.<\/p>\n<h3>Gyroscopic Effects<\/h3>\n<p>When a rotor spins and is simultaneously made to change the orientation of its spin axis \u2014 passing through a critical speed, or during a transient manoeuvre \u2014 <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/gyroscopic-effect\/\">gyroscopic moments<\/a> arise. These moments stiffen or soften the system depending on whirl direction, so they split natural frequencies into forward and backward branches and reshape the mode shapes. The faster the rotor turns, the more pronounced the gyroscopic influence becomes, which is why high-speed machines demand the most careful analysis.<\/p>\n<h3>Unbalance Response<\/h3>\n<p>Every real rotor carries some <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/unbalance\/\">unbalance<\/a> \u2014 an asymmetric mass distribution that generates a rotating centrifugal force. Rotor dynamics supplies the tools to predict how a given rotor will respond to that force at any speed, accounting for shaft stiffness, system damping, bearing characteristics, and the properties of the support structure.<\/p>\n<h3>The Rotor-Bearing-Foundation System<\/h3>\n<p>A complete analysis never treats the rotor in isolation. It is modelled as an integrated <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/rotor-bearing-system\/\">rotor-bearing system<\/a> that also includes seals, couplings, and the support structure \u2014 pedestals, baseplate, and foundation. Each element contributes its own stiffness, damping, and mass, and the foundation stiffness in particular can shift the effective critical speeds well away from those of the bare rotor.<\/p>\n<h3>Stability and Self-Excited Vibration<\/h3>\n<p>Unlike the forced vibration driven by unbalance, some systems can develop <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/self-excited-vibration\/\">self-excited vibration<\/a> \u2014 oscillations fed by an energy source inside the system itself rather than by an external force at running speed. Phenomena such as <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/oil-whirl\/\">oil whirl<\/a>, oil whip, and steam whirl can grow into violent instabilities, and a central job of rotor dynamics is to predict and design them out before the machine is built.<\/p>\n<h2>2. The Key Parameters That Govern Behaviour<\/h2>\n<p>Rotor dynamic behaviour is set by a handful of parameter groups. Getting any one of them wrong moves the critical speeds or undermines stability.<\/p>\n<h3>Rotor Characteristics<\/h3>\n<ul>\n<li><strong>Mass distribution:<\/strong> how mass is spread along the rotor&#8217;s length and around its circumference.<\/li>\n<li><strong>Stiffness:<\/strong> the shaft&#8217;s resistance to bending, governed by material, diameter, and span between supports.<\/li>\n<li><strong>Flexibility ratio:<\/strong> the ratio of operating speed to first critical speed, which separates rigid rotors from flexible rotors (defined in detail below).<\/li>\n<li><strong>Polar and diametral moments of inertia:<\/strong> the inertia properties that drive the gyroscopic effects and rotational dynamics.<\/li>\n<\/ul>\n<h3>Bearing Characteristics<\/h3>\n<ul>\n<li><strong>Bearing stiffness:<\/strong> how much the bearing deflects under load \u2014 strongly dependent on speed, load, and lubricant properties in fluid-film designs.<\/li>\n<li><strong>Bearing damping:<\/strong> the energy the bearing dissipates, which is critical for limiting amplitude as the rotor passes through a critical speed.<\/li>\n<li><strong>Bearing type:<\/strong> rolling-element and fluid-film (<a href=\"https:\/\/vibromera.eu\/ca\/glossary\/journal-bearing\/\">journal<\/a>) bearings have profoundly different dynamic behaviour, the latter introducing cross-coupled stiffness that can drive instability.<\/li>\n<\/ul>\n<h3>System Parameters<\/h3>\n<ul>\n<li><strong>Support structure stiffness:<\/strong> foundation and pedestal flexibility shift the system natural frequencies.<\/li>\n<li><strong>Coupling effects:<\/strong> how connected equipment loads and constrains the rotor.<\/li>\n<li><strong>Aerodynamic and hydraulic forces:<\/strong> the <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/aerodynamic-forces\/\">aerodynamic<\/a> and <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/hydraulic-forces\/\">hydraulic<\/a> loads imposed by the working fluid.<\/li>\n<\/ul>\n<h2>3. Rigid versus Flexible Rotors<\/h2>\n<p>A fundamental classification splits rotors into two operating regimes, and it dictates which balancing approach is valid.<\/p>\n<h3>Rigid Rotors<\/h3>\n<p>A <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/rigid-rotor\/\">rigid rotor<\/a> runs below its first critical speed. The shaft does not bend appreciably during operation, so it can be treated as a rigid body and balanced in two arbitrary planes. Most industrial machinery \u2014 fans, pumps, electric motors, blowers \u2014 falls into this category, and balancing it is comparatively straightforward, usually needing only <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/two-plane-balancing\/\">two-plane balancing<\/a> to the tolerances of <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/iso-21940-11\/\">ISO 21940-11<\/a>.<\/p>\n<h3>Flexible Rotors<\/h3>\n<p>A <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/flexible-rotor\/\">flexible rotor<\/a> runs above one or more critical speeds. The shaft bends noticeably in service and its deflected <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/mode-shape\/\">mode shape<\/a> changes with speed, so a correction that works at one speed may not work at another. High-speed turbines, compressors, and generators behave this way and call for advanced techniques such as <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/modal-balancing\/\">modal balancing<\/a> o <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/multi-plane-balancing\/\">multi-plane balancing<\/a>, governed by ISO 21940-12.<\/p>\n<h2>4. Tools and Methods<\/h2>\n<p>Engineers attack rotor problems with a mix of analytical prediction and physical measurement, ideally cross-checking one against the other.<\/p>\n<h3>Analytical Methods<\/h3>\n<ul>\n<li><strong>Transfer matrix method:<\/strong> the classical technique for hand-tractable calculation of critical speeds and mode shapes.<\/li>\n<li><strong>Finite element analysis (FEA):<\/strong> the modern computational standard, giving detailed predictions of response, stability, and mode shapes.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/ca\/glossary\/modal-analysis\/\">Modal analysis<\/a>:<\/strong> determining the natural frequencies and mode shapes of the assembled system.<\/li>\n<li><strong>Stability analysis:<\/strong> predicting the onset speed of self-excited vibration.<\/li>\n<\/ul>\n<h3>Experimental Methods<\/h3>\n<ul>\n<li><strong>Startup \/ coastdown testing:<\/strong> measuring vibration as speed changes to locate critical speeds. The <a href=\"https:\/\/vibromera.eu\/ca\/calculators\/rotor-critical-speed\/\">Rotor Critical Speed Calculator<\/a> gives a useful first estimate before the machine is ever run.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/ca\/glossary\/bode-plot\/\">Bode plots<\/a>:<\/strong> amplitude and phase plotted against speed.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/ca\/glossary\/campbell-diagram\/\">Campbell diagrams<\/a>:<\/strong> showing how natural frequencies vary with speed and where excitation orders cross them.<\/li>\n<li><strong>Impact testing:<\/strong> using instrumented hammer blows to excite and measure natural frequencies on a stationary rotor.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/ca\/glossary\/orbit\/\">Orbit analysis<\/a>:<\/strong> examining the actual path traced by the shaft centreline within its bearing clearance.<\/li>\n<\/ul>\n<h2>5. Applications and Importance<\/h2>\n<p>Rotor dynamics matters at two distinct points in a machine&#8217;s life: when it is being designed, and when it later misbehaves.<\/p>\n<h3>Design Phase<\/h3>\n<ul>\n<li>Predicting critical speeds early to guarantee adequate separation margins from the operating range.<\/li>\n<li>Optimising bearing selection and placement.<\/li>\n<li>Determining the required balance quality grade.<\/li>\n<li>Assessing stability margins and designing against self-excited vibration.<\/li>\n<li>Evaluating transient behaviour during startup and shutdown.<\/li>\n<\/ul>\n<h3>Troubleshooting and Problem Solving<\/h3>\n<ul>\n<li>Diagnosing vibration problems in operating machinery.<\/li>\n<li>Finding root causes when vibration exceeds the limits of <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/iso-20816-1\/\">ISO 20816<\/a> (the modern successor to ISO 10816).<\/li>\n<li>Judging the feasibility of speed increases or equipment modifications.<\/li>\n<li>Assessing damage after incidents such as trips, overspeed events, or bearing failures.<\/li>\n<\/ul>\n<h3>Industry Applications<\/h3>\n<ul>\n<li><strong>Power generation:<\/strong> steam and gas turbines, generators.<\/li>\n<li><strong>Oil &amp; gas:<\/strong> compressors, pumps, turbines.<\/li>\n<li><strong>Aerospace:<\/strong> aircraft engines and auxiliary power units.<\/li>\n<li><strong>Industrial:<\/strong> motors, fans, blowers, machine-tool spindles.<\/li>\n<li><strong>Automotive:<\/strong> engine crankshafts, turbochargers, drive shafts.<\/li>\n<\/ul>\n<h2>6. Common Rotor Dynamic Phenomena<\/h2>\n<p>A sound rotor dynamic analysis anticipates and prevents a recognisable family of problems:<\/p>\n<ul>\n<li><strong>Critical-speed resonance:<\/strong> excessive vibration when running speed coincides with a natural frequency.<\/li>\n<li><strong>Oil whirl \/ whip:<\/strong> self-excited instability in fluid-film bearings.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/ca\/glossary\/synchronous-vibration\/\">Synchronous<\/a> and <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/asynchronous-vibration\/\">asynchronous vibration<\/a>:<\/strong> distinguishing unbalance-driven response from other sources.<\/li>\n<li><strong>Rub and contact:<\/strong> <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/rotor-rub\/\">rotor rub<\/a> when rotating and stationary parts touch.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/ca\/glossary\/thermal-bow\/\">Thermal bow<\/a>:<\/strong> shaft bending from uneven heating.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/ca\/glossary\/torsional-vibration\/\">Torsional vibration<\/a>:<\/strong> angular oscillation of the shaft about its own axis.<\/li>\n<\/ul>\n<h2>7. Relationship to Balancing and Vibration Analysis<\/h2>\n<p>Rotor dynamics is the theory beneath the everyday practice of <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/balancing\/\">equilibri<\/a> and diagnostics. It explains why the <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/influence-coefficient\/\">influence coefficients<\/a> used in field balancing vary with speed and bearing condition; it tells you whether single-plane, two-plane, or modal balancing is the right strategy; it predicts how a given unbalance will affect vibration at different speeds; and it guides the choice of balancing tolerance from operating speed and rotor mass. It also underpins fault interpretation, helping an analyst separate one vibration signature from another.<\/p>\n<p>This is exactly where theory meets the field. A portable two-channel analyser such as the <a href=\"https:\/\/vibromera.eu\/ca\/producte\/balanset-1\/\">Balanset-1A<\/a> applies these principles directly on site: it measures the 1\u00d7 <a href=\"https:\/\/vibromera.eu\/ca\/glossary\/phase\/\">amplitude and phase<\/a> in the machine&#8217;s own bearings at operating speed, computes the rotor&#8217;s influence coefficients from a trial run, and corrects the unbalance without a dedicated balancing machine \u2014 a practical embodiment of rigid-rotor theory for the vast majority of industrial equipment.<\/p>\n<h2>8. Modern Developments<\/h2>\n<p>The field keeps advancing on several fronts:<\/p>\n<ul>\n<li><strong>Computational power:<\/strong> ever more detailed FEA models solved in ever less time.<\/li>\n<li><strong>Active control:<\/strong> magnetic bearings and active dampers that adjust stiffness and damping in real time.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/ca\/glossary\/condition-monitoring\/\">Condition monitoring<\/a>:<\/strong> continuous surveillance and diagnostics of rotor behaviour.<\/li>\n<li><strong>Digital-twin technology:<\/strong> live models that mirror the actual machine and update from its sensor data.<\/li>\n<li><strong>Advanced materials:<\/strong> composites and high-performance alloys enabling higher speeds and efficiencies.<\/li>\n<\/ul>\n<p>For anyone who designs, operates, or maintains rotating machinery, a working grasp of rotor dynamics is indispensable \u2014 it is the knowledge that turns a vibration reading into a decision and keeps high-energy machines running safely, efficiently, and predictably.<\/p>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/ca\/glossary\/\">\u2190 Back to Main Index<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Learn about rotor dynamics, the branch of engineering that studies the behavior of rotating systems including vibration, critical speeds, stability, and response to unbalance.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[109,111],"tags":[],"class_list":["post-217","glossary","type-glossary","status-publish","hentry","category-glossary","category-rotor-balancing"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/ca\/wp-json\/wp\/v2\/glossary\/217","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/ca\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/ca\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/ca\/wp-json\/wp\/v2\/glossary\/217\/revisions"}],"predecessor-version":[{"id":101456,"href":"https:\/\/vibromera.eu\/ca\/wp-json\/wp\/v2\/glossary\/217\/revisions\/101456"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/ca\/wp-json\/wp\/v2\/media?parent=217"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/ca\/wp-json\/wp\/v2\/categories?post=217"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/ca\/wp-json\/wp\/v2\/tags?post=217"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}