{"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\/hr\/glossary\/mode-shape\/","title":{"rendered":"\u0160to je oblik moda u dinamici rotora?"},"content":{"rendered":"<h1>Razumijevanje oblika moda u dinamici rotora<\/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\/hr\/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\/hr\/product\/balanset-1\/\" title=\"Prijenosni balanser &amp; analizator vibracija 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 kompletan set prijenosnog balansera i analizatora vibracija\" 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\/hr\/product-category\/devices\/\" rel=\"tag\">ure\u0111aji<\/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\/hr\/product\/balanset-1\/\" title=\"Prijenosni balanser &amp; analizator vibracija 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> + PDV (ako je primjenjivo)<\/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=\"\/hr\/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=\"Dodaj u ko\u0161aricu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u ko\u0161aricu\" 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=\"\/hr\/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=\"Dodaj u ko\u0161aricu: \u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Portable balancer &amp; Vibration analyzer Balanset-1A&quot; je dodan u va\u0161u ko\u0161aricu\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u ko\u0161aricu<\/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\/hr\/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\/hr\/product\/vibration-sensor\/\" title=\"senzor vibracija\">\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=\"Detalj senzora vibracija 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\/hr\/product-category\/parts\/\" rel=\"tag\">dijelovi<\/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\/hr\/product\/vibration-sensor\/\" title=\"senzor vibracija\">senzor vibracija<\/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> + PDV (ako je primjenjivo)<\/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=\"\/hr\/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=\"Dodaj u ko\u0161aricu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u ko\u0161aricu\" 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=\"\/hr\/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=\"Dodaj u ko\u0161aricu: \u201cVibration sensor\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Vibration sensor&quot; je dodan u va\u0161u ko\u0161aricu\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u ko\u0161aricu<\/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\/hr\/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\/hr\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Opti\u010dki senzor (laserski tahometar)\">\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=\"Opti\u010dki senzor (laserski tahometar)\" 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\/hr\/product-category\/parts\/\" rel=\"tag\">dijelovi<\/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\/hr\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Opti\u010dki senzor (laserski tahometar)\">Opti\u010dki senzor (laserski tahometar)<\/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> + PDV (ako je primjenjivo)<\/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=\"\/hr\/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=\"Dodaj u ko\u0161aricu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u ko\u0161aricu\" 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=\"\/hr\/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=\"Dodaj u ko\u0161aricu: \u201cOptical Sensor (Laser Tachometer)\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Optical Sensor (Laser Tachometer)&quot; je dodan u va\u0161u ko\u0161aricu\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u ko\u0161aricu<\/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\/hr\/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\/hr\/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 komplet za balansiranje rotora: torba za no\u0161enje, vi\u0161ekanalni pretvara\u010d signala, ru\u010dni analizator, magnetska baza, senzori vibracija i spiralni kabeli.\" 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\/hr\/product-category\/devices\/\" rel=\"tag\">ure\u0111aji<\/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\/hr\/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> + PDV (ako je primjenjivo)<\/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=\"\/hr\/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=\"Dodaj u ko\u0161aricu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u ko\u0161aricu\" 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=\"\/hr\/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=\"Dodaj u ko\u0161aricu: \u201cBalanset-4\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Balanset-4&quot; je dodan u va\u0161u ko\u0161aricu\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u ko\u0161aricu<\/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\/hr\/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\/hr\/product\/magnet-stand\/\" title=\"Magnetski stalak Insize nosivosti 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=\"Magnetska baza.\" 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\/hr\/product-category\/parts\/\" rel=\"tag\">dijelovi<\/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\/hr\/product\/magnet-stand\/\" title=\"Magnetski stalak Insize nosivosti 60 kgf\">Magnetski stalak Insize nosivosti 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> + PDV (ako je primjenjivo)<\/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=\"\/hr\/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=\"Dodaj u ko\u0161aricu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u ko\u0161aricu\" 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=\"\/hr\/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=\"Dodaj u ko\u0161aricu: \u201cMagnetic Stand Insize-60-kgf\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Magnetic Stand Insize-60-kgf&quot; je dodan u va\u0161u ko\u0161aricu\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u ko\u0161aricu<\/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\/hr\/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\/hr\/product\/reflective-tape\/\" title=\"Reflektiraju\u0107a traka\">\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=\"Reflektiraju\u0107a traka\" 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\/hr\/product-category\/parts\/\" rel=\"tag\">dijelovi<\/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\/hr\/product\/reflective-tape\/\" title=\"Reflektiraju\u0107a traka\">Reflektiraju\u0107a traka<\/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> + PDV (ako je primjenjivo)<\/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=\"\/hr\/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=\"Dodaj u ko\u0161aricu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u ko\u0161aricu\" 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=\"\/hr\/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=\"Dodaj u ko\u0161aricu: \u201cReflective tape\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Reflective tape&quot; je dodan u va\u0161u ko\u0161aricu\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u ko\u0161aricu<\/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\/hr\/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\/hr\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dinami\u010dki balanser \u201cBalanset-1A\u201d 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=\"Sadr\u017eaj kompleta Balanset-1A s jedinicom za su\u010delje, senzorima, tahometrom i dodacima\" 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\/hr\/product-category\/devices\/\" rel=\"tag\">ure\u0111aji<\/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\/hr\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dinami\u010dki balanser \u201cBalanset-1A\u201d OEM\">Dinami\u010dki balanser \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> + PDV (ako je primjenjivo)<\/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=\"\/hr\/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=\"Dodaj u ko\u0161aricu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u ko\u0161aricu\" 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=\"\/hr\/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=\"Dodaj u ko\u0161aricu: \u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Dynamic balancer \u201cBalanset-1A\u201d OEM&quot; je dodan u va\u0161u ko\u0161aricu\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u ko\u0161aricu<\/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>oblik moda<\/strong> \u2014 tako\u0111er nazvan mod vibracije ili prirodni mod \u2014 je karakteristi\u010dan prostorni obrazac deformacije koji <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/rotor\/\">rotor<\/a> sustav poprima kada vibrira na jednoj od svojih <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/natural-frequency\/\">prirodne frekvencije<\/a>. Opisuje relativnu amplitudu i <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/phase\/\">faza<\/a> fazu gibanja u svakoj to\u010dki du\u017e vratila kada sustav slobodno oscilira na toj specifi\u010dnoj <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/resonance\/\">rezonantni<\/a> frekvencija. Svaki oblik moda povezan je s jednom prirodnom frekvencijom, a zajedno \u010dine kompletan opis dinami\u010dkog pona\u0161anja sustava. Razumijevanje oblika moda je temeljno za <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/rotor-dynamics\/\">dinamika rotora<\/a>, jer oni odre\u0111uju gdje <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/critical-speed\/\">kriti\u010dne brzine<\/a> nastaju i kako rotor reagira na sile koje ga pobu\u0111uju.<\/p>\n<h2>1. Definicija i fizi\u010dko zna\u010denje<\/h2>\n<p>Kada se struktura poremeti i ostavi da vibrira sama, ona se ne kre\u0107e proizvoljno. Ona se smjesti u mali broj preferiranih obrazaca, pri \u010demu svaki rezonira na svojoj frekvenciji, to\u010dno kao \u0161to \u017eica gitare proizvodi osnovni ton i niz harmonika. Za rotor su ti preferirani obrasci njegovi modalni oblici, a frekvencije na kojima se pojavljuju njegove su prirodne frekvencije. Opasnost kod rotacijskih strojeva jest da se radna brzina rotora mo\u017ee poklopiti s jednom od tih prirodnih frekvencija; kada se to dogodi, odgovaraju\u0107i modalni oblik se poti\u010de u <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/resonance\/\">rezonancija<\/a> i amplitude vibracija naglo rastu. Poznavanje oblika unaprijed omogu\u0107uje in\u017eenjeru da odredi gdje \u0107e se rotor najvi\u0161e savijati, gdje \u0107e se jedva pomaknuti i stoga gdje treba intervenirati.<\/p>\n<h2>2. Vizualizacija modnih oblika<\/h2>\n<p>Modalni oblici najbolje se mogu prikazati kao krivulje odstupanja vratila rotora.<\/p>\n<h3>Prvi mod (osnovni)<\/h3>\n<ul>\n<li><strong>Oblik:<\/strong> jednostavan luk ili lukica, poput konopca za preskakanje s jednim \u010dvorom.<\/li>\n<li><strong>Nodne to\u010dke:<\/strong> nijedan unutarnji \u2014 vratilo je oslonjeno na le\u017eajeve, koji djeluju kao pribli\u017eni \u010dvorovi.<\/li>\n<li><strong>Maksimalno savijanje:<\/strong> obi\u010dno blizu sredine raspona izme\u0111u le\u017eajeva.<\/li>\n<li><strong>Frekvencija:<\/strong> najni\u017ea prirodna frekvencija sustava.<\/li>\n<li><strong>Kriti\u010dna brzina:<\/strong> Prva kriti\u010dna brzina odgovara ovom na\u010dinu rada.<\/li>\n<\/ul>\n<h3>Drugi na\u010din<\/h3>\n<ul>\n<li><strong>Oblik:<\/strong> S-krivulja s jednim \u010dvorom u sredini.<\/li>\n<li><strong>Nodne to\u010dke:<\/strong> jedan unutarnji \u010dvor, gdje je savijanje osovine nula.<\/li>\n<li><strong>Maksimalno savijanje:<\/strong> na dvije lokacije, po jedna sa svake strane \u010dvori\u0161ta.<\/li>\n<li><strong>Frekvencija:<\/strong> vi\u0161a od prvog moda, \u010desto tri do pet puta vi\u0161a od njegove frekvencije.<\/li>\n<li><strong>Kriti\u010dna brzina:<\/strong> druga kriti\u010dna brzina.<\/li>\n<\/ul>\n<h3>Tre\u0107i mod i vi\u0161i modovi<\/h3>\n<ul>\n<li><strong>Oblik:<\/strong> sve slo\u017eeniji uzorci valova.<\/li>\n<li><strong>Nodne to\u010dke:<\/strong> dva za tre\u0107i na\u010din, tri za \u010detvrti, i tako dalje.<\/li>\n<li><strong>Frekvencija:<\/strong> postupno vi\u0161i.<\/li>\n<li><strong>Prakti\u010dna va\u017enost:<\/strong> obi\u010dno relevantno samo za vrlo brze ili vrlo <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/flexible-rotor\/\">fleksibilni rotori<\/a>.<\/li>\n<\/ul>\n<h2>3. Klju\u010dne karakteristike modnih oblika<\/h2>\n<h3>Ortogonalnost<\/h3>\n<p>Razli\u010diti modalni oblici matemati\u010dki su ortogonalni \u2014 to jest, neovisni. U idealnom linearnom sustavu energija unesena na jednoj modalnoj frekvenciji ne uzbu\u0111uje ostale, \u0161to upravo omogu\u0107uje in\u017eenjerima da svaki modalni oblik tretiraju i korigiraju zasebno.<\/p>\n<h3>Normalizacija<\/h3>\n<p>Oblici modova obi\u010dno se normaliziraju, pri \u010demu se maksimalni otklon skalira na referentnu vrijednost (\u010desto 1,0) kako bi se oblici mogli uspore\u0111ivati. Stvarna veli\u010dina otklona u radu ovisi o amplitudi pobude i prigu\u0161enju sustava. <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/damping\/\">prigu\u0161ivanje<\/a>.<\/p>\n<h3>\u010cvorne to\u010dke<\/h3>\n<p><strong>\u010cvorovi<\/strong> to su mjesta du\u017e vratila na kojima otklon ostaje jednak nuli tijekom vibriranja u tom modu. Broj unutarnjih \u010dvorova jednak je broju moda umanjenom za jedan:<\/p>\n<ul>\n<li>prvi na\u010din rada: 0 unutarnjih \u010dvorova;<\/li>\n<li>drugi na\u010din rada: 1 unutarnji \u010dvor;<\/li>\n<li>tre\u0107i na\u010din rada: 2 unutarnja \u010dvora.<\/li>\n<\/ul>\n<p>A <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/nodal-point\/\">\u010dvorna to\u010dka<\/a> \u010dvor je polo\u017eaj mirovanja u odre\u0111enom modu \u2014 \u010dinjenica s izravnim posljedicama i za polo\u017eaj senzora i za balansiranje.<\/p>\n<h3>Antinodne to\u010dke<\/h3>\n<p><strong>Antinodi<\/strong> To su lokacije maksimalnog odstupanja u obliku moda. To su to\u010dke najve\u0107eg savojnog naprezanja i stoga najvjerojatnija mjesta za zamor materijala i otkazivanje tijekom rezonantnih vibracija.<\/p>\n<h2>4. Za\u0161to su oblici moda va\u017eni<\/h2>\n<h3>Predvi\u0111anje kriti\u010dne brzine<\/h3>\n<p>Svaki oblik moda odgovara <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/critical-speed\/\">kriti\u010dna brzina<\/a>. Kada se brzina rotacije podudara s prirodnom frekvencijom, taj se mod pobu\u0111uje, rotor se deformira u obrazac modnog oblika, i <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/unbalance\/\">neravnote\u017ea<\/a> sile proizvode najve\u0107e vibracije tamo gdje se poklapaju s antinodama. <a href=\"https:\/\/vibromera.eu\/hr\/calculators\/rotor-critical-speed\/\">Kalkulator kriti\u010dne brzine rotora<\/a> daje brzu prvu procjenu o tome gdje te brzine padaju u odnosu na radni raspon.<\/p>\n<h3>Strategija uravnote\u017eenja<\/h3>\n<p>Modalni oblici vode izbor <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/balancing\/\">balansiranje<\/a> pristup:<\/p>\n<ul>\n<li><strong><a href=\"https:\/\/vibromera.eu\/hr\/glossary\/rigid-rotor\/\">Kruti rotori<\/a><\/strong> raditi ispod prve kriti\u010dne brzine; jednostavno <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/two-plane-balancing\/\">balansiranje u dvije ravnine<\/a> je dovoljno.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/hr\/glossary\/flexible-rotor\/\">Fleksibilni rotori<\/a><\/strong> mo\u017ee biti iznad prve kriti\u010dne i mo\u017ee trebati <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/modal-balancing\/\">modalno uravnote\u017eenje<\/a> usmjereno na specifi\u010dne modne oblike.<\/li>\n<li><strong>Lokacija korektivne ravnine<\/strong> naju\u010dinkovitija je na antinodama, gdje zadana masa ima najve\u0107i utjecaj na mod.<\/li>\n<li><strong>Lokacije \u010dvorova<\/strong> su suprotan slu\u010daj: korekcijska masa <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/correction-weight\/\">korekcijska te\u017eina<\/a> postavljena na \u010dvor gotovo da nema u\u010dinka na taj mod.<\/li>\n<\/ul>\n<h3>Analiza kvara<\/h3>\n<p>Modalni oblici tako\u0111er obja\u0161njavaju gdje se pojavljuje o\u0161te\u0107enje. Mikropukotine od zamora materijala obi\u010dno nastaju na antinodima, gdje je naprezanje savijanjem najve\u0107e; naprezanje u le\u017eajnom sloju vjerojatnije je tamo gdje je deformacija velika; i <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/rotor-rub\/\">trlja<\/a> nastaju tamo gdje otklon vratila dovodi rotor blizu nepokretnih dijelova.<\/p>\n<h2>5. Odre\u0111ivanje oblika modova<\/h2>\n<h3>Analiti\u010dke metode<\/h3>\n<h4>Analiza kona\u010dnih elemenata (FEA)<\/h4>\n<ul>\n<li>Naj\u010de\u0161\u0107i suvremeni pristup.<\/li>\n<li>Rotor je modeliran kao lanac grednih elemenata koji prenose masu, krutost i inerciju.<\/li>\n<li>Analiza vlastitih vrijednosti vra\u0107a prirodne frekvencije i njihove odgovaraju\u0107e oblike modova.<\/li>\n<li>Mo\u017ee uzeti u obzir slo\u017eenu geometriju, svojstva materijala, karakteristike le\u017eajeva<\/li>\n<\/ul>\n<h4>Metoda transferne matrice<\/h4>\n<ul>\n<li>Klasi\u010dna analiti\u010dka tehnika.<\/li>\n<li>Rotor je podijeljen na stanice poznatih svojstava.<\/li>\n<li>Transferne matrice prenose odstupanje i silu du\u017e osovine.<\/li>\n<li>U\u010dinkovito za relativno jednostavne konfiguracije osovina<\/li>\n<\/ul>\n<h4>Teorija kontinuirane grede<\/h4>\n<ul>\n<li>Za jednoli\u010dne osovine postoje analiti\u010dka rje\u0161enja u zatvorenom obliku.<\/li>\n<li>Pru\u017ea to\u010dne izraze za jednostavne slu\u010dajeve.<\/li>\n<li>Korisno za podu\u010davanje i za preliminarni dizajn.<\/li>\n<\/ul>\n<h3>Eksperimentalne metode<\/h3>\n<h4>Modalno ispitivanje (ispitivanje udarom)<\/h4>\n<ul>\n<li>udarite vratilo instrumentiranim \u010deki\u0107em na nekoliko mjesta \u2014 klasi\u010dni <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/bump-test\/\">Ispitivanje udarcima<\/a>.<\/li>\n<li>Mjeri odgovor s <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/accelerometer\/\">Akcelerometri<\/a> u vi\u0161e navrata.<\/li>\n<li>Rezultiraju\u0107i <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/frequency-response-function\/\">funkcije frekvencijskog odziva<\/a> otkriti prirodne frekvencije.<\/li>\n<li>Oblik moda se izdvaja iz relativnih amplituda i faza odziva.<\/li>\n<\/ul>\n<h4>Mjerenje oblika deflekcije u radnom stanju (ODS)<\/h4>\n<ul>\n<li>Mjerite vibracije na vi\u0161e lokacija tijekom normalnog rada.<\/li>\n<li>Blizu kriti\u010dne brzine, <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/ods-analysis\/\">oblik otklona u radu<\/a> pribli\u017eava modalni oblik.<\/li>\n<li>Mo\u017ee se izvesti s rotorom na mjestu.<\/li>\n<li>Potrebno je ili vi\u0161e senzora ili tehnika pokretnog senzora.<\/li>\n<\/ul>\n<h4>Nizovi sondi za blizinu<\/h4>\n<ul>\n<li>Beskontaktno <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/proximity-probe\/\">sonde za blizinu<\/a> na nekoliko osnih lokacija.<\/li>\n<li>Izmjerite savijanje vratila izravno.<\/li>\n<li>Tijekom <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/coastdown-analysis\/\">pokretanje ili ko\u010denje<\/a>, uzorak otklona otkriva oblike modova.<\/li>\n<li>Najto\u010dnija eksperimentalna metoda za strojeve koji zapravo rade.<\/li>\n<\/ul>\n<h2>6. \u0160to mijenja oblik moda<\/h2>\n<h3>Utjecaji krutosti le\u017eaja<\/h3>\n<ul>\n<li><strong>Kruti le\u017eajevi:<\/strong> \u010dvorovi se formiraju na mjestima le\u017eajeva, a oblici modova su ograni\u010deniji.<\/li>\n<li><strong>Fleksibilni le\u017eajevi:<\/strong> zna\u010dajno gibanje javlja se na le\u017eajevima, a oblici modova su raspore\u0111eniji.<\/li>\n<li><strong>Asimetri\u010dni le\u017eajevi:<\/strong> Oblici modova razlikuju se izme\u0111u horizontalnog i vertikalnog smjera.<\/li>\n<\/ul>\n<h3>Ovisnost o brzini<\/h3>\n<p>Za rotiraju\u0107e osovine oblici modova mogu se pomicati s brzinom zbog:<\/p>\n<ul>\n<li><strong><a href=\"https:\/\/vibromera.eu\/hr\/glossary\/gyroscopic-effect\/\">Giroskopski u\u010dinci<\/a>:<\/strong> oni razdvajaju modove na vrtlo\u017eenje unaprijed i vrtlo\u017eenje unatrag.<\/li>\n<li><strong>Promjene u krutosti le\u017eaja:<\/strong> teku\u0107eg filma <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/journal-bearing\/\">le\u017eajevi kliza\u010da<\/a> ukru\u0107uju se kako brzina raste.<\/li>\n<li><strong>Centrifugalno zatezanje:<\/strong> Pri vrlo velikim brzinama centrifugalne sile pove\u0107avaju krutost vitkih komponenti.<\/li>\n<\/ul>\n<h3>Rotacija naprijed naspram rotacije natrag<\/h3>\n<p>U rotiraju\u0107im sustavima svaki mod mo\u017ee imati dva oblika. U <strong>vrtlo\u017eenje unaprijed<\/strong> osovina <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/orbit\/\">orbita<\/a> vrti se u istom smjeru kao i samo vratilo; u <strong>vrtlo\u017eenje unatrag<\/strong> ono se vrti u suprotnom smjeru. Giroskopski u\u010dinci uzrokuju da se izvedbe unaprijed i unatrag javljaju na razli\u010ditim frekvencijama \u2014 razdvajanje frekvencija koje <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/campbell-diagram\/\">Campbellov dijagram<\/a> Jasno prikazuje.<\/p>\n<h2>7. Prakti\u010dne primjene<\/h2>\n<h3>Optimizacija dizajna<\/h3>\n<p>In\u017eenjeri koriste analizu modalnih oblika za pozicioniranje le\u017eajeva tako da antinodi ne padaju na mjestima le\u017eajeva, za odre\u0111ivanje promjera vratila koji pomi\u010du kriti\u010dne brzine izvan radnog podru\u010dja, za odabir krutosti le\u017eajeva koja povoljno oblikuje modalni odgovor te za dodavanje ili uklanjanje mase na strate\u0161kim to\u010dkama kako bi se pomaknule prirodne frekvencije.<\/p>\n<h3>Rje\u0161avanje problema<\/h3>\n<p>Kada se pojavi prekomjerna vibracija, analiti\u010dar uspore\u0111uje radnu brzinu s predvi\u0111enim kriti\u010dnim brzinama, utvr\u0111uje radi li se stroj u blizini rezonancije, odre\u0111uje koji se mod uzbu\u0111uje i odabire modifikaciju koja pomi\u010de problemati\u010dni mod dalje od radne brzine.<\/p>\n<h3>Modalno uravnote\u017eenje<\/h3>\n<p><a href=\"https:\/\/vibromera.eu\/hr\/glossary\/modal-balancing\/\">Modalno uravnote\u017eenje<\/a> Kod fleksibilnih rotora sve ovisi o poznavanju oblika modova: svaki se mod neovisno uravnote\u017euje, korektivne mase raspore\u0111uju se prema uzorku oblika modova, mase postavljene na \u010dvorovima nemaju utjecaja na taj mod, a optimalne ravnine korekcije nalaze se na antinodovima.<\/p>\n<h2>8. Vizualizacija i komunikacija<\/h2>\n<p>Oblici modova prikazuju se u nekoliko oblika \u2014 2D krivulje bo\u010dnog otklona u odnosu na aksijalni polo\u017eaj; animacije osciliraju\u0107eg vratila; 3D prikazi za slo\u017eene ili povezane geometrije; karte boja koje kodiraju veli\u010dinu otklona; i tabli\u010dni podaci s numeri\u010dkim otklonom na diskretnim stanicama.<\/p>\n<h2>9. Upareni i slo\u017eeni oblici moda<\/h2>\n<h3>Bo\u010dno\u2013torzijska veza<\/h3>\n<p>U nekim sustavima savijanje (lateralno) i uvijanje (<a href=\"https:\/\/vibromera.eu\/hr\/glossary\/torsional-vibration\/\">torzijski<\/a>) pomicanja se me\u0111usobno povezuju \u2014 pona\u0161anje koje se uo\u010dava kod ne-kru\u017enih popre\u010dnih presjeka ili pomaknutih optere\u0107enja. Oblik moda tada uklju\u010duje i bo\u010dno savijanje i kutnu torziju, a potrebna analiza je u skladu s tim slo\u017eenija.<\/p>\n<h3>Spregnuti na\u010dini savijanja<\/h3>\n<p>U sustavima s asimetri\u010dnom kruto\u0161\u0107u horizontalni i vertikalni modovi se povezuju; oblici modova postaju elipti\u010dni umjesto planarni. To je uobi\u010dajeno kada su le\u017eajevi ili potpore anizotropne.<\/p>\n<h2>10. Standardi i smjernice<\/h2>\n<p>Nekoliko standarda se bavi analizom modnih oblika. <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/api-684\/\">API 684<\/a> pru\u017ea smjernice za analizu rotorske dinamike, uklju\u010duju\u0107i izra\u010dun oblika modova; <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/iso-21940-11\/\">ISO 21940-11<\/a> (moderni nasljednik norme ISO 1940-1) poziva se na modalne oblike u kontekstu balansiranja fleksibilnih rotora; a njema\u010dka norma VDI 3839 obra\u0111uje modalna razmatranja za fleksibilne rotore.<\/p>\n<h2>11. Odnos prema Campbellovim dijagramima i mjerenju na terenu<\/h2>\n<p>A <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/campbell-diagram\/\">Campbellov dijagram<\/a> Grafi\u010dki prikazuje prirodne frekvencije u odnosu na brzinu, pri \u010demu svaka krivulja predstavlja jedan mod. Oblik moda iza svake krivulje odre\u0111uje koliko sna\u017eno neuravnote\u017eenost na razli\u010ditim mjestima uzbu\u0111uje taj mod, gdje bi senzori trebali biti postavljeni za maksimalnu osjetljivost i koja vrsta korekcije balansiranja \u0107e najbolje djelovati. Na terenu je prakti\u010dna veza izme\u0111u oblika moda i korektivnih mjera analizator na klupi: kad analiza oblika moda identificira antinode kao u\u010dinkovite ravnine korekcije, prijenosni dvo-kanalni instrument poput <a href=\"https:\/\/vibromera.eu\/hr\/proizvod\/balanset-1\/\">Balanset-1A<\/a> Mjeri amplitudu i fazu od 1\u00d7 na le\u017eajevima i izra\u010dunava korektivne te\u017eine, omogu\u0107uju\u0107i in\u017eenjeru da djeluje upravo na ravninama koje je istaknuo oblik moda. Razumijevanje oblika moda na ovaj na\u010din pretvara dinamiku rotora iz apstraktnog matemati\u010dkog predvi\u0111anja u fizi\u010dki uvid u pona\u0161anje stvarnih strojeva \u2014 omogu\u0107uju\u0107i bolji dizajn, preciznije otklanjanje kvarova i u\u010dinkovitije balansiranje za svaku vrstu rotiraju\u0107e opreme.<\/p>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/hr\/glossary\/\">\u2190 Natrag na glavni indeks<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Saznajte vi\u0161e o oblicima modova, karakteristi\u010dnim obrascima otklona rotiraju\u0107ih vratila na vlastitim frekvencijama, bitnim za razumijevanje kriti\u010dnih brzina i fleksibilnog pona\u0161anja rotora.<\/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\/hr\/wp-json\/wp\/v2\/glossary\/165","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/glossary\/165\/revisions"}],"predecessor-version":[{"id":101438,"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/glossary\/165\/revisions\/101438"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/media?parent=165"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/categories?post=165"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/tags?post=165"}],"curies":[{"name":"radni list","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}