{"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\/ro\/glossary\/mode-shape\/","title":{"rendered":"Ce este forma modului \u00een dinamica rotorului?"},"content":{"rendered":"<h1>\u00cen\u021belegerea formelor modurilor \u00een dinamica rotorului<\/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\/ro\/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\/ro\/product\/balanset-1\/\" title=\"Echilibrator portabil \u0219i analizor de vibra\u021bii 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 kit complet \u2014 echilibrator portabil \u0219i analizor de vibra\u021bii\" 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\/ro\/product-category\/devices\/\" rel=\"tag\">Dispozitive<\/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\/ro\/product\/balanset-1\/\" title=\"Echilibrator portabil \u0219i analizor de vibra\u021bii Balanset-1A\">Echilibrator portabil \u0219i analizor de vibra\u021bii 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> + TVA (dac\u0103 este cazul)<\/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=\"\/ro\/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=\"Adaug\u0103 \u00een co\u0219\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Adaug\u0103 \u00een co\u0219\" 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=\"\/ro\/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=\"Adaug\u0103 \u00een co\u0219: &amp;lbquo;Portable balancer &amp; Vibration analyzer Balanset-1A\u201d\" rel=\"nofollow\" data-success_message=\"\u201ePortable balancer &amp; Vibration analyzer Balanset-1A\u201d a fost ad\u0103ugat \u00een co\u0219\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Adaug\u0103 \u00een co\u0219<\/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\/ro\/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\/ro\/product\/vibration-sensor\/\" title=\"Senzor de vibra\u021bii\">\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=\"Prim-plan senzor de vibra\u021bii Balanset-1A\" 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\/ro\/product-category\/parts\/\" rel=\"tag\">Piese<\/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\/ro\/product\/vibration-sensor\/\" title=\"Senzor de vibra\u021bii\">Senzor de vibra\u021bii<\/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> + TVA (dac\u0103 este cazul)<\/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=\"\/ro\/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=\"Adaug\u0103 \u00een co\u0219\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Adaug\u0103 \u00een co\u0219\" 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=\"\/ro\/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=\"Adaug\u0103 \u00een co\u0219: &amp;lbquo;Vibration sensor\u201d\" rel=\"nofollow\" data-success_message=\"\u201eVibration sensor\u201d a fost ad\u0103ugat \u00een co\u0219\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Adaug\u0103 \u00een co\u0219<\/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\/ro\/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\/ro\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Senzor optic (tahometru cu laser)\">\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=\"Senzor optic (tahometru cu laser)\" 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\/ro\/product-category\/parts\/\" rel=\"tag\">Piese<\/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\/ro\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Senzor optic (tahometru cu laser)\">Senzor optic (tahometru cu laser)<\/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> + TVA (dac\u0103 este cazul)<\/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=\"\/ro\/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=\"Adaug\u0103 \u00een co\u0219\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Adaug\u0103 \u00een co\u0219\" 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=\"\/ro\/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=\"Adaug\u0103 \u00een co\u0219: &amp;lbquo;Optical Sensor (Laser Tachometer)\u201d\" rel=\"nofollow\" data-success_message=\"\u201eOptical Sensor (Laser Tachometer)\u201d a fost ad\u0103ugat \u00een co\u0219\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Adaug\u0103 \u00een co\u0219<\/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\/ro\/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\/ro\/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=\"Kit de echilibrare a rotorului Vibromera: geant\u0103 de transport, condi\u021bioner de semnal multicanal, analizor portabil, baz\u0103 magnetic\u0103, senzori de vibra\u021bii \u0219i cabluri spiralate.\" 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\/ro\/product-category\/devices\/\" rel=\"tag\">Dispozitive<\/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\/ro\/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> + TVA (dac\u0103 este cazul)<\/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=\"\/ro\/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=\"Adaug\u0103 \u00een co\u0219\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Adaug\u0103 \u00een co\u0219\" 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=\"\/ro\/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=\"Adaug\u0103 \u00een co\u0219: &amp;lbquo;Balanset-4\u201d\" rel=\"nofollow\" data-success_message=\"\u201eBalanset-4\u201d a fost ad\u0103ugat \u00een co\u0219\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Adaug\u0103 \u00een co\u0219<\/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\/ro\/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\/ro\/product\/magnet-stand\/\" title=\"Stand magnetic 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=\"Baza magnetic\u0103.\" 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\/ro\/product-category\/parts\/\" rel=\"tag\">Piese<\/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\/ro\/product\/magnet-stand\/\" title=\"Stand magnetic Insize-60-kgf\">Stand magnetic 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> + TVA (dac\u0103 este cazul)<\/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=\"\/ro\/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=\"Adaug\u0103 \u00een co\u0219\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Adaug\u0103 \u00een co\u0219\" 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=\"\/ro\/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=\"Adaug\u0103 \u00een co\u0219: &amp;lbquo;Magnetic Stand Insize-60-kgf\u201d\" rel=\"nofollow\" data-success_message=\"\u201eMagnetic Stand Insize-60-kgf\u201d a fost ad\u0103ugat \u00een co\u0219\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Adaug\u0103 \u00een co\u0219<\/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\/ro\/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\/ro\/product\/reflective-tape\/\" title=\"Band\u0103 reflectorizant\u0103\">\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=\"Band\u0103 reflectorizant\u0103\" 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\/ro\/product-category\/parts\/\" rel=\"tag\">Piese<\/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\/ro\/product\/reflective-tape\/\" title=\"Band\u0103 reflectorizant\u0103\">Band\u0103 reflectorizant\u0103<\/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> + TVA (dac\u0103 este cazul)<\/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=\"\/ro\/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=\"Adaug\u0103 \u00een co\u0219\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Adaug\u0103 \u00een co\u0219\" 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=\"\/ro\/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=\"Adaug\u0103 \u00een co\u0219: &amp;lbquo;Reflective tape\u201d\" rel=\"nofollow\" data-success_message=\"\u201eReflective tape\u201d a fost ad\u0103ugat \u00een co\u0219\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Adaug\u0103 \u00een co\u0219<\/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\/ro\/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\/ro\/product\/dynamic-balancer-balanset-1a\/\" title=\"Echilibrator dinamic &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=\"Con\u021binutul kitului Balanset-1A cu unitate de interfa\u021b\u0103, senzori, tahometru \u0219i accesorii\" 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\/ro\/product-category\/devices\/\" rel=\"tag\">Dispozitive<\/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\/ro\/product\/dynamic-balancer-balanset-1a\/\" title=\"Echilibrator dinamic &quot;Balanset-1A&quot; OEM\">Echilibrator dinamic \"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> + TVA (dac\u0103 este cazul)<\/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=\"\/ro\/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=\"Adaug\u0103 \u00een co\u0219\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Adaug\u0103 \u00een co\u0219\" 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=\"\/ro\/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=\"Adaug\u0103 \u00een co\u0219: &amp;lbquo;Dynamic balancer \u201cBalanset-1A\u201d OEM\u201d\" rel=\"nofollow\" data-success_message=\"\u201eDynamic balancer \u201cBalanset-1A\u201d OEM\u201d a fost ad\u0103ugat \u00een co\u0219\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Adaug\u0103 \u00een co\u0219<\/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>form\u0103 de mod<\/strong> \u2014 denumit \u0219i mod de vibra\u021bie sau mod natural \u2014 este modelul spa\u021bial caracteristic al deform\u0103rii pe care o <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/rotor\/\">rotor<\/a> form\u0103 pe care o ia sistemul atunci c\u00e2nd vibreaz\u0103 la una dintre frecven\u021bele sale <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/natural-frequency\/\">frecven\u021be naturale<\/a>. Aceasta descrie amplitudinea relativ\u0103 \u0219i <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/phase\/\">faz\u0103<\/a> de mi\u0219care \u00een fiecare punct de-a lungul axului atunci c\u00e2nd sistemul oscileaz\u0103 liber \u00een acel punct specific <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/resonance\/\">resonant<\/a> frecven\u021b\u0103. Fiecare form\u0103 modal\u0103 este asociat\u0103 cu o frecven\u021b\u0103 natural\u0103, iar \u00eempreun\u0103, ansamblul acestora ofer\u0103 o descriere complet\u0103 a comportamentului dinamic al sistemului. \u00cen\u021belegerea formelor modale este esen\u021bial\u0103 pentru <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/rotor-dynamics\/\">dinamica rotorului<\/a>, deoarece ele stabilesc unde <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/critical-speed\/\">viteze critice<\/a> cum se produc acestea \u0219i cum reac\u021bioneaz\u0103 rotorul la for\u021bele care \u00eel ac\u021bioneaz\u0103.<\/p>\n<h2>1. Defini\u021bie \u0219i semnifica\u021bie fizic\u0103<\/h2>\n<p>Atunci c\u00e2nd o structur\u0103 este perturbat\u0103 \u0219i l\u0103sat\u0103 s\u0103 vibreze de la sine, aceasta nu se mi\u0219c\u0103 \u00een mod arbitrar. Ea se stabilizeaz\u0103 \u00eentr-un num\u0103r redus de moduri preferate, fiecare rezon\u00e2nd la propria frecven\u021b\u0103, exact a\u0219a cum o coard\u0103 de chitar\u0103 emite o frecven\u021b\u0103 fundamental\u0103 \u0219i o serie de armonici. Pentru un rotor, aceste modele preferate sunt formele sale modale, iar frecven\u021bele la care apar sunt frecven\u021bele sale naturale. Pericolul \u00een cazul ma\u0219inilor rotative este c\u0103 viteza de rota\u021bie a unui rotor poate coincide cu una dintre aceste frecven\u021be naturale; c\u00e2nd se \u00eent\u00e2mpl\u0103 acest lucru, forma modal\u0103 corespunz\u0103toare este antrenat\u0103 \u00een <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/resonance\/\">rezonan\u021b\u0103<\/a> iar amplitudinile vibra\u021biilor cresc brusc. Cunoa\u0219terea prealabil\u0103 a formelor \u00eei permite inginerului s\u0103 identifice zonele \u00een care rotorul se va deforma cel mai mult, cele \u00een care abia se va mi\u0219ca \u0219i, prin urmare, unde trebuie s\u0103 intervin\u0103.<\/p>\n<h2>2. Vizualizarea formelor modale<\/h2>\n<p>Formele modale pot fi reprezentate cel mai bine ca fiind curbele de deformare ale arborelui rotorului.<\/p>\n<h3>Primul mod (fundamental)<\/h3>\n<ul>\n<li><strong>Form\u0103:<\/strong> un arc simplu, asem\u0103n\u0103tor unei fr\u00e2nghii de s\u0103rit cu o singur\u0103 bucl\u0103.<\/li>\n<li><strong>Node points:<\/strong> niciunul la interior \u2014 arborele este sus\u021binut de rulmen\u021bi, care func\u021bioneaz\u0103 ca ni\u0219te noduri aproximative.<\/li>\n<li><strong>Deformare maxim\u0103:<\/strong> de obicei \u00een apropierea punctului central al deschiderii, \u00eentre lag\u0103re.<\/li>\n<li><strong>Frecven\u0163\u0103:<\/strong> cea mai mic\u0103 frecven\u021b\u0103 natural\u0103 a sistemului.<\/li>\n<li><strong>Viteza critic\u0103:<\/strong> prima vitez\u0103 critic\u0103 corespunde acestui mod.<\/li>\n<\/ul>\n<h3>Al doilea mod<\/h3>\n<ul>\n<li><strong>Form\u0103:<\/strong> o curb\u0103 \u00een form\u0103 de S cu un singur nod \u00een mijloc.<\/li>\n<li><strong>Node points:<\/strong> un nod intern, \u00een care deforma\u021bia arborelui este zero.<\/li>\n<li><strong>Deformare maxim\u0103:<\/strong> \u00een dou\u0103 loca\u021bii, c\u00e2te una de fiecare parte a nodului.<\/li>\n<li><strong>Frecven\u0163\u0103:<\/strong> mai mare dec\u00e2t cea a primului mod, adesea de trei p\u00e2n\u0103 la cinci ori mai mare dec\u00e2t frecven\u021ba acesteia.<\/li>\n<li><strong>Viteza critic\u0103:<\/strong> a doua vitez\u0103 critic\u0103.<\/li>\n<\/ul>\n<h3>Al treilea mod \u0219i superior<\/h3>\n<ul>\n<li><strong>Form\u0103:<\/strong> modele de und\u0103 din ce \u00een ce mai complexe.<\/li>\n<li><strong>Node points:<\/strong> dou\u0103 pentru al treilea mod, trei pentru al patrulea \u0219i a\u0219a mai departe.<\/li>\n<li><strong>Frecven\u0163\u0103:<\/strong> din ce \u00een ce mai mare.<\/li>\n<li><strong>Importan\u021ba practic\u0103:<\/strong> de obicei relevant doar pentru viteze foarte mari sau foarte <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/flexible-rotor\/\">rotoare flexibile<\/a>.<\/li>\n<\/ul>\n<h2>3. Caracteristicile principale ale formelor modale<\/h2>\n<h3>Ortogonalitate<\/h3>\n<p>Diferitele forme modale sunt ortogonale din punct de vedere matematic \u2014 adic\u0103 independente. \u00centr-un sistem liniar ideal, energia introdus\u0103 la o frecven\u021b\u0103 modal\u0103 nu le excit\u0103 pe celelalte, ceea ce permite tocmai inginerilor s\u0103 trateze \u0219i s\u0103 corecteze fiecare mod \u00een parte.<\/p>\n<h3>Normalisation<\/h3>\n<p>Formele modale sunt de obicei normalizate, deformarea maxim\u0103 fiind raportat\u0103 la o valoare de referin\u021b\u0103 (adesea 1,0), astfel \u00eenc\u00e2t formele s\u0103 poat\u0103 fi comparate. Amploarea real\u0103 a deform\u0103rii \u00een timpul exploat\u0103rii depinde de amplitudinea for\u021bei aplicate \u0219i de sistem <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/damping\/\">amortizare<\/a>.<\/p>\n<h3>Puncte nodale<\/h3>\n<p><strong>Noduri<\/strong> sunt puncte situate de-a lungul axului \u00een care deforma\u021bia r\u0103m\u00e2ne egal\u0103 cu zero \u00een timpul vibra\u021biei \u00een acel mod. Num\u0103rul de noduri interne este egal cu num\u0103rul modului minus unu:<\/p>\n<ul>\n<li>primul mod: 0 noduri interne;<\/li>\n<li>al doilea mod: 1 nod intern;<\/li>\n<li>al treilea mod: 2 noduri interne.<\/li>\n<\/ul>\n<p>A <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/nodal-point\/\">punct nodal<\/a> este o pozi\u021bie de repaus \u00eentr-un anumit mod \u2014 un aspect care are consecin\u021be directe at\u00e2t asupra amplas\u0103rii senzorilor, c\u00e2t \u0219i asupra echilibr\u0103rii.<\/p>\n<h3>Puncte antinodale<\/h3>\n<p><strong>Antinoduri<\/strong> sunt punctele de deformare maxim\u0103 dintr-o form\u0103 modal\u0103. Acestea reprezint\u0103 punctele cu cea mai mare tensiune de \u00eencovoiere \u0219i, prin urmare, zonele cele mai expuse la oboseal\u0103 \u0219i rupere \u00een timpul vibra\u021biilor rezonante.<\/p>\n<h2>4. De ce sunt importante formele modale<\/h2>\n<h3>Previziunea vitezei critice<\/h3>\n<p>Fiecare form\u0103 de mod corespunde unei <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/critical-speed\/\">vitez\u0103 critic\u0103<\/a>. C\u00e2nd frecven\u021ba de rota\u021bie se potrive\u0219te cu o frecven\u021b\u0103 natural\u0103, acel mod este excitat, rotorul se deformeaz\u0103 conform formei modale, iar <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/unbalance\/\">dezechilibru<\/a> for\u021bele produc cea mai mare vibra\u021bie acolo unde se aliniaz\u0103 cu antinodurile. A <a href=\"https:\/\/vibromera.eu\/ro\/calculators\/rotor-critical-speed\/\">calculator pentru viteza critic\u0103 a rotorului<\/a> ofer\u0103 o prim\u0103 estimare rapid\u0103 a pozi\u021biei acestor viteze \u00een raport cu intervalul de func\u021bionare.<\/p>\n<h3>Strategia de echilibrare<\/h3>\n<p>Formele modale ghideaz\u0103 alegerea <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/echilibrare\/\">echilibrare<\/a> approach:<\/p>\n<ul>\n<li><strong><a href=\"https:\/\/vibromera.eu\/ro\/glossary\/rigid-rotor\/\">Rotoare rigide<\/a><\/strong> s\u0103 func\u021bioneze sub prima vitez\u0103 critic\u0103; simplu <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/two-plane-balancing\/\">echilibrare pe dou\u0103 planuri<\/a> is sufficient.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/ro\/glossary\/flexible-rotor\/\">Rotoare flexibile<\/a><\/strong> s\u0103 dep\u0103\u0219easc\u0103 primul prag critic \u0219i ar putea fi necesar <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/modal-balancing\/\">echilibrare modal\u0103<\/a> care vizeaz\u0103 anumite forme de vibra\u021bie.<\/li>\n<li><strong>Pozi\u021bia planului de corec\u021bie<\/strong> este cea mai eficient\u0103 la antinoduri, unde o mas\u0103 dat\u0103 exercit\u0103 cea mai mare influen\u021b\u0103 asupra modului.<\/li>\n<li><strong>Node locations<\/strong> reprezint\u0103 cazul opus: un <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/correction-weight\/\">greutatea de corec\u021bie<\/a> pozi\u021bionarea la un nod nu are aproape niciun efect asupra acelui mod.<\/li>\n<\/ul>\n<h3>Analiza defec\u021biunilor<\/h3>\n<p>Formele modale explic\u0103, de asemenea, unde apar deterior\u0103rile. Fisurile de oboseal\u0103 se formeaz\u0103 de obicei la antinoduri, unde tensiunea de \u00eencovoiere atinge valori maxime; deteriorarea rulmen\u021bilor este mai probabil\u0103 acolo unde deformarea este mare; \u0219i <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/rotor-rub\/\">frecare<\/a> se produce atunci c\u00e2nd deformarea arborelui apropie rotorul de p\u0103r\u021bile fixe.<\/p>\n<h2>5. Determinarea formelor modale<\/h2>\n<h3>Metode analitice<\/h3>\n<h4>Analiza cu elemente finite (FEA)<\/h4>\n<ul>\n<li>Cea mai r\u0103sp\u00e2ndit\u0103 abordare modern\u0103.<\/li>\n<li>Rotorul este modelat ca un lan\u021b de elemente de tip grind\u0103 care poart\u0103 mas\u0103, rigiditate \u0219i iner\u021bie.<\/li>\n<li>O analiz\u0103 a valorilor proprii furnizeaz\u0103 frecven\u021bele naturale \u0219i formele de vibra\u021bie corespunz\u0103toare.<\/li>\n<li>Poate lua \u00een considerare geometria complex\u0103, propriet\u0103\u021bile materialelor, caracteristicile rulmentului<\/li>\n<\/ul>\n<h4>Metoda matricei de transfer<\/h4>\n<ul>\n<li>O tehnic\u0103 analitic\u0103 clasic\u0103.<\/li>\n<li>Rotorul este \u00eemp\u0103r\u021bit \u00een sec\u021biuni cu caracteristici cunoscute.<\/li>\n<li>Matricele de transfer propag\u0103 deforma\u021bia \u0219i for\u021ba de-a lungul arborelui.<\/li>\n<li>Eficient pentru configura\u021bii de arbori relativ simple<\/li>\n<\/ul>\n<h4>Teoria grinzilor continue<\/h4>\n<ul>\n<li>Pentru arbori uniformi, exist\u0103 solu\u021bii analitice de form\u0103 \u00eenchis\u0103.<\/li>\n<li>Ofer\u0103 expresii exacte pentru cazurile simple.<\/li>\n<li>Util pentru predare \u0219i pentru proiectarea preliminar\u0103.<\/li>\n<\/ul>\n<h3>Metode experimentale<\/h3>\n<h4>Testarea modal\u0103 (testarea la impact)<\/h4>\n<ul>\n<li>Lovi\u021bi arborele cu un ciocan instrumentat \u00een mai multe locuri \u2014 un <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/bump-test\/\">testul cu impact<\/a>.<\/li>\n<li>M\u0103sura\u021bi r\u0103spunsul cu <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/accelerometer\/\">accelerometre<\/a> \u00een mai multe locuri.<\/li>\n<li>Rezultatul <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/frequency-response-function\/\">func\u021bii de r\u0103spuns \u00een frecven\u021b\u0103<\/a> s\u0103 determine frecven\u021bele naturale.<\/li>\n<li>Forma modal\u0103 este determinat\u0103 pe baza amplitudinilor \u0219i fazelor relative ale r\u0103spunsului.<\/li>\n<\/ul>\n<h4>M\u0103surarea formei de deformare \u00een func\u021bionare (ODS)<\/h4>\n<ul>\n<li>M\u0103sura\u021bi vibra\u021biile \u00een mai multe puncte \u00een timpul func\u021bion\u0103rii normale.<\/li>\n<li>\u00cen apropierea unei viteze critice, <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/ods-analysis\/\">forma de deformare \u00een func\u021bionare<\/a> aproximeaz\u0103 forma modului.<\/li>\n<li>Se poate efectua cu rotorul \u00een pozi\u021bie.<\/li>\n<li>Este nevoie fie de mai mul\u021bi senzori, fie de o tehnic\u0103 bazat\u0103 pe senzori mobili.<\/li>\n<\/ul>\n<h4>Re\u021bele de sonde de proximitate<\/h4>\n<ul>\n<li>F\u0103r\u0103 contact <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/proximity-probe\/\">sonde de proximitate<\/a> \u00een mai multe puncte axiale.<\/li>\n<li>M\u0103sura\u021bi direct deforma\u021bia arborelui.<\/li>\n<li>During <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/coastdown-analysis\/\">pornire sau decelerare<\/a>, modelul de deformare eviden\u021biaz\u0103 formele modale.<\/li>\n<li>Cea mai precis\u0103 metod\u0103 experimental\u0103 pentru utilajele aflate \u00een func\u021biune.<\/li>\n<\/ul>\n<h2>6. Ce influen\u021beaz\u0103 forma modului<\/h2>\n<h3>Efectele rigidit\u0103\u021bii rulmentului<\/h3>\n<ul>\n<li><strong>Lag\u0103re rigide:<\/strong> Se formeaz\u0103 noduri \u00een dreptul rulmen\u021bilor, iar formele modale sunt mai limitate.<\/li>\n<li><strong>Rulmen\u021bi flexibili:<\/strong> la rulmen\u021bi se produc mi\u0219c\u0103ri semnificative, iar formele modale sunt mai dispersate.<\/li>\n<li><strong>Rulmen\u021bi asimetrici:<\/strong> formele modale difer\u0103 \u00eentre direc\u021bia orizontal\u0103 \u0219i cea vertical\u0103.<\/li>\n<\/ul>\n<h3>Dependen\u021ba de vitez\u0103<\/h3>\n<p>\u00cen cazul arborilor rotativi, formele modale se pot modifica \u00een func\u021bie de vitez\u0103 din cauza:<\/p>\n<ul>\n<li><strong><a href=\"https:\/\/vibromera.eu\/ro\/glossary\/gyroscopic-effect\/\">Efectele giroscopice<\/a>:<\/strong> acestea \u00eempart modurile \u00een rotire \u00eenainte (forward whirl) \u0219i rotire \u00eenapoi (backward whirl).<\/li>\n<li><strong>Modific\u0103ri ale rigidit\u0103\u021bii rulmentului:<\/strong> fluid-film <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/journal-bearing\/\">lagare radiale cu alunecare<\/a> se rigidizeaz\u0103 pe m\u0103sur\u0103 ce viteza cre\u0219te.<\/li>\n<li><strong>Rigidizare centrifug\u0103:<\/strong> La viteze foarte mari, for\u021bele centrifuge sporesc rigiditatea componentelor sub\u021biri.<\/li>\n<\/ul>\n<h3>V\u00e2rtejul \u00eenainte versus v\u00e2rtejul \u00eenapoi<\/h3>\n<p>\u00cen sistemele rotative, fiecare mod poate lua dou\u0103 forme. \u00cen <strong>forward whirl<\/strong> the shaft <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/orbit\/\">orbit\u0103<\/a> se rote\u0219te \u00een aceea\u0219i direc\u021bie cu arborele; \u00een <strong>backward whirl<\/strong> se rote\u0219te \u00een sens invers. Efectele giroscopice fac ca mi\u0219c\u0103rile \u00eenainte \u0219i \u00eenapoi s\u0103 aib\u0103 loc la frecven\u021be diferite \u2014 o separare a frecven\u021belor pe care un <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/campbell-diagram\/\">Diagrama Campbell<\/a> se afi\u0219eaz\u0103 clar.<\/p>\n<h2>7. Aplica\u021bii practice<\/h2>\n<h3>Optimizarea proiect\u0103rii<\/h3>\n<p>Inginerii utilizeaz\u0103 analiza formelor modale pentru a pozi\u021biona rulmen\u021bii astfel \u00eenc\u00e2t antinodurile s\u0103 nu coincid\u0103 cu loca\u021biile acestora, pentru a dimensiona diametrele arborilor astfel \u00eenc\u00e2t vitezele critice s\u0103 se situeze \u00een afara domeniului de func\u021bionare, pentru a selecta rigiditatea rulmen\u021bilor care modeleaz\u0103 favorabil r\u0103spunsul modal \u0219i pentru a ad\u0103uga sau elimina mas\u0103 \u00een puncte strategice \u00een vederea modific\u0103rii frecven\u021belor naturale.<\/p>\n<h3>Depanare<\/h3>\n<p>Atunci c\u00e2nd apar vibra\u021bii excesive, analistul compar\u0103 viteza de func\u021bionare cu vitezele critice prev\u0103zute, stabile\u0219te dac\u0103 utilajul func\u021bioneaz\u0103 \u00een apropierea unei frecven\u021be de rezonan\u021b\u0103, determin\u0103 care mod este excitat \u0219i alege o modificare care \u00eendep\u0103rteaz\u0103 modul problematic de viteza de func\u021bionare.<\/p>\n<h3>Echilibrarea modal\u0103<\/h3>\n<p><a href=\"https:\/\/vibromera.eu\/ro\/glossary\/modal-balancing\/\">Echilibrarea modal\u0103<\/a> \u00een cazul rotoarelor flexibile depinde \u00een totalitate de cunoa\u0219terea formelor modale: fiecare mod este echilibrat independent, masele de corec\u021bie sunt distribuite astfel \u00eenc\u00e2t s\u0103 se potriveasc\u0103 cu modelul formelor modale, masele plasate la noduri nu au niciun efect asupra acelui mod, iar planele optime de corec\u021bie se afl\u0103 la antinoduri.<\/p>\n<h2>8. Vizualizare \u0219i comunicare<\/h2>\n<p>Formele modale sunt prezentate sub mai multe forme \u2014 curbe de deformare 2D care ilustreaz\u0103 deformarea lateral\u0103 \u00een func\u021bie de pozi\u021bia axial\u0103; anima\u021bii ale arborelui \u00een oscila\u021bie; rand\u0103ri 3D pentru geometrii complexe sau cuplate; h\u0103r\u021bi de culori care codific\u0103 amplitudinea deform\u0103rii; precum \u0219i date tabelare care indic\u0103 valorile numerice ale deform\u0103rii la puncte discrete.<\/p>\n<h2>9. Forme modale cuplate \u0219i complexe<\/h2>\n<h3>Cuplajul lateral-torsional<\/h3>\n<p>\u00cen unele sisteme, \u00eendoirea (lateral\u0103) \u0219i r\u0103sucirea (<a href=\"https:\/\/vibromera.eu\/ro\/glossary\/torsional-vibration\/\">torsiune<\/a>) se combin\u0103 \u2014 un comportament observat \u00een cazul sec\u021biunilor transversale necirculare sau al sarcinilor descentrate. Forma modului include atunci at\u00e2t deforma\u021bia lateral\u0103, c\u00e2t \u0219i r\u0103sucirea unghiular\u0103, iar analiza necesar\u0103 este, \u00een consecin\u021b\u0103, mai complex\u0103.<\/p>\n<h3>Moduri de \u00eendoire cuplate<\/h3>\n<p>\u00cen sistemele cu rigiditate asimetric\u0103, modurile orizontale \u0219i verticale se cupleaz\u0103; formele modale devin eliptice, nu plane. Acest fenomen este frecvent \u00een cazul \u00een care lag\u0103rele sau suporturile sunt anizotrope.<\/p>\n<h2>10. Standarde \u0219i orient\u0103ri<\/h2>\n<p>Exist\u0103 mai multe standarde care abordeaz\u0103 analiza formelor modale. <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/api-684\/\">API 684<\/a> ofer\u0103 \u00eendrum\u0103ri pentru analiza dinamicii rotorului, inclusiv calculul formelor modale; <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/iso-21940-11\/\">ISO 21940-11<\/a> (succesorul modern al standardului ISO 1940-1) face referire la formele modale \u00een contextul echilibr\u0103rii rotoarelor flexibile; iar standardul german VDI 3839 abordeaz\u0103 aspectele modale legate de rotoarele flexibile.<\/p>\n<h2>11. Leg\u0103tura cu diagramele Campbell \u0219i m\u0103sur\u0103torile pe teren<\/h2>\n<p>A <a href=\"https:\/\/vibromera.eu\/ro\/glossary\/campbell-diagram\/\">Diagrama Campbell<\/a> reprezint\u0103 frecven\u021bele naturale \u00een func\u021bie de vitez\u0103, fiecare curb\u0103 reprezent\u00e2nd un mod. Forma modului din spatele fiec\u0103rei curbe determin\u0103 c\u00e2t de puternic excit\u0103 dezechilibrul din diverse loca\u021bii acel mod, unde ar trebui amplasa\u021bi senzorii pentru o sensibilitate maxim\u0103 \u0219i ce tip de corec\u021bie de echilibrare va da cele mai bune rezultate. \u00cen practic\u0103, leg\u0103tura concret\u0103 dintre formele modale \u0219i m\u0103surile corective este reprezentat\u0103 de analizorul de banc\u0103: odat\u0103 ce analiza formelor modale identific\u0103 antinodurile ca plane de corec\u021bie eficiente, un instrument portabil cu dou\u0103 canale, precum <a href=\"https:\/\/vibromera.eu\/ro\/produs\/balanset-1\/\">Balanset-1A<\/a> m\u0103soar\u0103 amplitudinea \u0219i faza de ordinul 1\u00d7 la lag\u0103re \u0219i calculeaz\u0103 masele de corec\u021bie, permi\u021b\u00e2nd inginerului s\u0103 intervin\u0103 exact pe planele eviden\u021biate de forma modului. \u00cen\u021belegerea formelor modale \u00een acest mod transform\u0103 dinamica rotorului dintr-o predic\u021bie matematic\u0103 abstract\u0103 \u00eentr-o perspectiv\u0103 fizic\u0103 asupra comportamentului real al utilajelor \u2014 facilit\u00e2nd o proiectare mai bun\u0103, o depanare mai precis\u0103 \u0219i o echilibrare mai eficient\u0103 pentru orice tip de echipament rotativ.<\/p>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/ro\/glossary\/\">\u2190 \u00cenapoi la indexul principal<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>\u00cenv\u0103\u021ba\u021bi despre formele modurilor, modelele caracteristice de deviere ale arborilor rotativi la frecven\u021be naturale, esen\u021biale pentru \u00een\u021belegerea vitezelor critice \u0219i a comportamentului flexibil al rotorului.<\/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\/ro\/wp-json\/wp\/v2\/glossary\/165","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/ro\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/ro\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/ro\/wp-json\/wp\/v2\/glossary\/165\/revisions"}],"predecessor-version":[{"id":101438,"href":"https:\/\/vibromera.eu\/ro\/wp-json\/wp\/v2\/glossary\/165\/revisions\/101438"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/ro\/wp-json\/wp\/v2\/media?parent=165"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/ro\/wp-json\/wp\/v2\/categories?post=165"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/ro\/wp-json\/wp\/v2\/tags?post=165"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}