{"id":125,"date":"2025-10-31T00:25:51","date_gmt":"2025-10-31T00:25:51","guid":{"rendered":"https:\/\/vibromera.eu\/glossary\/frame-resonance\/"},"modified":"2026-05-23T22:51:28","modified_gmt":"2026-05-23T22:51:28","slug":"frame-resonance","status":"publish","type":"glossary","link":"https:\/\/vibromera.eu\/bs\/glossary\/frame-resonance\/","title":{"rendered":"\u0160ta je Rezonancija Okvira? Vibracija Strukture Stroja"},"content":{"rendered":"<h1>Razumijevanje Rezonancije Okvira<\/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\/bs\/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\/bs\/product\/balanset-1\/\" title=\"Prijenosni balanser i 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 prenosivi balanser i analizator 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\/bs\/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\/bs\/product\/balanset-1\/\" title=\"Prijenosni balanser i analizator vibracija Balanset-1A\">Prijenosni balanser i analizator vibracija 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 se primjenjuje)<\/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=\"\/bs\/wp-json\/wp\/v2\/glossary\/125?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 korpu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u korpu\" 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=\"\/bs\/wp-json\/wp\/v2\/glossary\/125?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=\"Add to cart: \u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d\" rel=\"nofollow\" data-success_message=\"\u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d has been added to your cart\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u korpu<\/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\/bs\/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\/bs\/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=\"Balanset-1A senzor vibracija u detaljnom prikazu\" 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\/bs\/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\/bs\/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 se primjenjuje)<\/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=\"\/bs\/wp-json\/wp\/v2\/glossary\/125?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 korpu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u korpu\" 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=\"\/bs\/wp-json\/wp\/v2\/glossary\/125?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=\"Add to cart: \u201cVibration sensor\u201d\" rel=\"nofollow\" data-success_message=\"\u201cVibration sensor\u201d has been added to your cart\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u korpu<\/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\/bs\/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\/bs\/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\/bs\/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\/bs\/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 se primjenjuje)<\/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=\"\/bs\/wp-json\/wp\/v2\/glossary\/125?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 korpu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u korpu\" 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=\"\/bs\/wp-json\/wp\/v2\/glossary\/125?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=\"Add to cart: \u201cOptical Sensor (Laser Tachometer)\u201d\" rel=\"nofollow\" data-success_message=\"\u201cOptical Sensor (Laser Tachometer)\u201d has been added to your cart\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u korpu<\/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\/bs\/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\/bs\/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 set za balansiranje rotora: kofer za no\u0161enje, multikanalnu jedinicu za kondicioniranje signala, ru\u010dni analizator, magnetnu bazu, senzore vibracija i spiralne kablove.\" 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\/bs\/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\/bs\/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 se primjenjuje)<\/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=\"\/bs\/wp-json\/wp\/v2\/glossary\/125?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 korpu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u korpu\" 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=\"\/bs\/wp-json\/wp\/v2\/glossary\/125?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=\"Add to cart: \u201cBalanset-4\u201d\" rel=\"nofollow\" data-success_message=\"\u201cBalanset-4\u201d has been added to your cart\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u korpu<\/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\/bs\/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\/bs\/product\/magnet-stand\/\" title=\"Magnetno postolje Insize-60-kgf\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Magnet base.\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-1024x682.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36.webp 1280w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span 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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\/bs\/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\/bs\/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 se primjenjuje)<\/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=\"\/bs\/wp-json\/wp\/v2\/glossary\/125?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 korpu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u korpu\" 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=\"\/bs\/wp-json\/wp\/v2\/glossary\/125?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=\"Add to cart: \u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d\" rel=\"nofollow\" data-success_message=\"\u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d has been added to your cart\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u korpu<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_4193\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/section>\n\t\t\n<p><strong>Rezonancija okvira<\/strong> je specifi\u010dan oblik <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/structural-resonance\/\">strukturna rezonancija<\/a> u kojem vlastiti okvir stroja, ku\u0107i\u0161te, oklop ili omota\u010d vibrira na jednoj od svojih <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/natural-frequency\/\">prirodne frekvencije<\/a> kao odgovor na pobudu od rotiraju\u0107ih dijelova. Za razliku od fundacija ili <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/pedestal-looseness\/\">pedestal<\/a> rezonancija, koja uklju\u010duje nosivu strukturu ispod stroja, rezonancija okvira se nalazi u tijelu samog stroja \u2014 lijevanoj ili zavarenoj\u010deli\u010dnoj strukturi koja opkoljava rotiraju\u0107e elemente. Kad forsirana frekvencija padne na vlastitu frekvenciju okvira, <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/resonance\/\">resonance<\/a> poja\u010dava kretanje daleko vi\u0161e nego \u0161to bi sama forsirana sila uzrokovala.<\/p>\n<p>Rezonancija okvira je \u010desta u strojevima s velikim, relativno laganim ku\u0107i\u0161tima \u2014 ventilatori, puha\u010di, pumpe i motori. Obi\u010dno se pojavljuje kao prekomjerna buka, vidljiva vibracija poklopaca ili panela, i visoka <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/vibration\/\">vibration<\/a> o\u010ditavanja na okviru koja su drasti\u010dno nesrazmjerna stvarnoj vibraciji rotora. Budu\u0107i da simptom izgleda zastra\u0161uju\u0107e, rezonancija okvira je jedan od naj\u010de\u0161\u0107e pogre\u0161no dijagnostificiranih problema u praksi: analiti\u010dar vidi ogromno o\u010ditavanje i osudio bi savr\u0161eno uravnote\u017eeni rotor.<\/p>\n<h2>1. Definicija: \u0160ta je rezonancija okvira?<\/h2>\n<p>Svaka konstrukcija ima skup prirodnih frekvencija i povezanih modova fleksije na kojima preferira da se savija. Okvir ma\u0161ine nije iznimka. Njegovi zidovi, \u010deone plo\u010de, noge i paneli svaki imaju vibracijske modove savijanja i torzije, a tanak pokrivni panel mo\u017ee imati nekoliko vlastitih modova unutar \u010dujnog rasona. Sve dok te frekvencije ostanu odmaknute od sila koje generira ma\u0161ina, okvir jednostavno prenosi silu tiho. Problemi po\u010dinju kada radna frekvencija bude jednaka frekvenciji nekog moda okvira i konstrukcija po\u010dne da rezonira.<\/p>\n<p>Karakteristika rezonancije okvira je <em>amplification<\/em>: okvir se kre\u0107e nekoliko puta vi\u0161e od le\u017eajeva koje okru\u017euje. Energija dolazi od rotora, ali odgovor pripada konstrukciji. Zato se mjerenja obavljena na okviru mogu o\u010ditati pet do deset puta ve\u0107e nego mjerenja pri le\u017eajnom ku\u0107i\u0161tu samo nekoliko centimetara dalje. Osnovna svojstva koja odre\u0111uju gdje se ti modovi nalaze je <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/stiffness\/\">stiffness<\/a> : u odnosu na masu \u2014 oja\u010date li okvir, frekvencije rastu; dodate li masu, one padaju.<\/p>\n<h2>2. \u010cesta stanja rezonancije okvira<\/h2>\n<h3>Okviri motora i generatora<\/h3>\n<ul>\n<li><strong>Prirodne frekvencije:<\/strong> obi\u010dno 50\u2013400 Hz, u zavisnosti od veli\u010dine i izvedbe.<\/li>\n<li><strong>Excitation:<\/strong> 1\u00d7 (<a href=\"https:\/\/vibromera.eu\/bs\/glossary\/unbalance\/\">unbalance<\/a>), 2\u00d7 mre\u017ena frekvencija (120 Hz pri naponu od 60 Hz, 100 Hz pri 50 Hz), i elektromagnetske sile vezane za <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/electrical-frequency\/\">elektri\u010dne frekvencije<\/a>.<\/li>\n<li><strong>Symptoms:<\/strong> vibracija okvira daleko ve\u0107a od vibracija le\u017eajeva; \u010duju\u0107a buka ili zujanje.<\/li>\n<li><strong>Severity:<\/strong> okvir mo\u017ee pokazati 5\u201310\u00d7 ve\u0107e o\u010ditavane od le\u017eajeva.<\/li>\n<\/ul>\n<h3>Ku\u0107i\u0161ta ventilatora i puhala<\/h3>\n<ul>\n<li><strong>Prirodne frekvencije:<\/strong> 20\u2013200 Hz za tipi\u010dne industrijske ventilatore.<\/li>\n<li><strong>Excitation:<\/strong> <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/blade-passing-frequency\/\">frekvencijom prolaska lopatica<\/a> (broj lopatica \u00d7 RPM).<\/li>\n<li><strong>Symptoms:<\/strong> paneli ku\u0107i\u0161ta vibriraju nasilno; glasna aerodinami\u010dka buka.<\/li>\n<li><strong>Characteristic:<\/strong> mo\u017ee se pojaviti samo pri specifi\u010dnim brzinama ili uslovima toka.<\/li>\n<\/ul>\n<h3>Pump casings<\/h3>\n<ul>\n<li><strong>Prirodne frekvencije:<\/strong> 30\u2013300 Hz, u zavisnosti od izvedbe ku\u0107i\u0161ta.<\/li>\n<li><strong>Excitation:<\/strong> <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/vane-passing-frequency\/\">frekvencija prolaska lopatice<\/a> i hidrauli\u010dke pulsacije.<\/li>\n<li><strong>Symptoms:<\/strong> vibracijom ku\u0107i\u0161ta, bukom i rizikom od umora pucanja.<\/li>\n<li><strong>Hidrauli\u010dna spojnica:<\/strong> ku\u0107i\u0161te ispunjeno fluidom mo\u017ee povezati vibracije rotora i ku\u0107i\u0161ta, \u0161to ote\u017eava sliku.<\/li>\n<\/ul>\n<h3>Ku\u0107i\u0161ta zup\u010danika<\/h3>\n<ul>\n<li>Excited by <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/gear-mesh-frequency\/\">frekvencija zahvata zubaca<\/a>.<\/li>\n<li>Prirodne frekvencije okvira \u010desto se poklapaju s frekvencijom zahvata i njenim harmonicima.<\/li>\n<li>Proizvodi karakteristi\u010dan jak zvuk zup\u010danika kada je rezonantna.<\/li>\n<\/ul>\n<h2>3. Potpis vibracije i otkrivanje<\/h2>\n<h3>Karakteristi\u010dni simptomi<\/h3>\n<ul>\n<li><strong>Ovisna o mjestu:<\/strong> vibracija varira dramati\u010dno preko povr\u0161ine okvira \u2014 razlike od 10 puta izme\u0111u to\u010daka su \u010deste.<\/li>\n<li><strong>Le\u017eaj u odnosu na okvir:<\/strong> vibracija okvira znatno nadma\u0161uje vibraciju le\u017eaja (\u010desto 3\u201310 puta).<\/li>\n<li><strong>Frekvencijski specifi\u010dna:<\/strong> problem se pojavljuje samo na rezonantnoj frekvenciji; ostale frekvencije izgledaju normalno.<\/li>\n<li><strong>Osjetljiva na brzinu:<\/strong> te\u0161ka unutar uskog opsega (\u00b110\u201320% rezonantne brzine).<\/li>\n<li><strong>Visual motion:<\/strong> kretanje okvira \u010desto je vidljivo golim okom.<\/li>\n<\/ul>\n<h3>Test udarca (lupanja)<\/h3>\n<p>Odlu\u010duju\u0107i test. Udarite okvir gumenim \u010deki\u0107em ili instrumentiranim \u010deki\u0107em, izmjerite odziv s <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/accelerometer\/\">accelerometer<\/a>, and read the frame natural frequencies off the peaks in the frequency response. Comparing those peaks against the operating frequencies (1\u00d7, 2\u00d7, blade passing, and so on) immediately reveals any dangerous coincidence. See <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/bump-test\/\">bump test<\/a> and <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/impact-testing\/\">impact testing<\/a> za potpuni postupak.<\/p>\n<h3>Obilazna mjerenja ubrzanja<\/h3>\n<p>Dok je ma\u0161ina u pogonu, mjerite vibracije u vi\u0161e ta\u010daka na okviru i kreirajte mapu vibracija visoke i niske zone. Obrazac otkriva oblik mode \u2014 savijanje, torzija ili fleksija panela \u2014 i \u043b\u043e\u043a\u0430\u043b\u0438\u0437\u0438\u0440\u0430 antinodove (maksimalno kretanje) i \u010dvorove (minimalno kretanje). Kompletan <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/ods-analysis\/\">analiza operativnog oblika deformacije (ODS)<\/a> animira ovo kretanje, i formalan <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/modal-analysis\/\">modal analysis<\/a> ekstrahuje osnovne mode.<\/p>\n<h3>Mjerenje prijenosne funkcije<\/h3>\n<p>Measure the <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/coherence\/\">coherence<\/a> izme\u0111u vibracija na le\u017eaju (ulaza) i vibracija na okviru (izlaza). Visoka koherencija na specifi\u010dnoj frekvenciji potvr\u0111uje da je kretanje okvira izazvano, i rezonira sa, rotacijskim optere\u0107enjem. Funkcija <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/transfer-function\/\">funkcija prenosa<\/a> sama po sebi kvantifikuje faktor poja\u010danja.<\/p>\n<h2>4. Potvr\u0111ivanje Rezonancije u Polju<\/h2>\n<p>Prije nego \u0161to se bilo koja struktura oja\u010da ili bilo koji rotor dira, dijagnoza mora biti potvr\u0111ena \u2014 i to zna\u010di mjerenje stvarnog pona\u0161anja rotora odvojeno od okvira. Prenosivi dvokanalski analizator kao \u0161to je <a href=\"https:\/\/vibromera.eu\/bs\/proizvod\/balanset-1\/\">Balanset-1A<\/a> \u010dini ovo jednostavnim: analizator mo\u017ee uhvatiti <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/phase\/\">amplitudu i fazu<\/a> i kompletan spektar na ku\u0107i\u0161tu le\u017eaja, zatim prebaciti senzor na sumnjivi panel i promatrati porast nivoa na frekvenciji rezonancije dok se faza pomjera kroz strukturnu modu. Ako je vibracija rotora na frekvenciji 1\u00d7 skromna na le\u017eaju ali ogromna na okviru, zaklju\u010dak je rezonancija, ne neuravnote\u017eenost. Isti instrument omogu\u0107ava vam da isprobate balansiranje rotora kako biste isklju\u010dili ili potvrdili neuravnote\u017eenost, i pokrenete sishod tako da se rezonantni vrh pojavljuje kako se brzina mjenja kroz njega.<\/p>\n<h2>5. Rje\u0161enja i Ubla\u017eavanje<\/h2>\n<h3>Modifikacije oja\u010danja strukture<\/h3>\n<ul>\n<li><strong>Dodajte strukturne rebra ili poja\u010danja:<\/strong> pove\u0107ava krutost na savijanje, podi\u017ee prirodnu frekvenciju iznad raspona uzbu\u0111enja, je ekonomi\u010dno, i mo\u017ee se montirati na postoje\u0107u opremu.<\/li>\n<li><strong>Pove\u0107ajte debljinu materijala:<\/strong> ispunjavanje zidova okvira ili panela znatno pove\u0107ava krutost i frekvenciju, iako mo\u017ee zahtijevati nove odlive ili fabriciranja.<\/li>\n<li><strong>Strukturne veze i oja\u010danja:<\/strong> povezivanje suprotnih strana okvira sprje\u010dava fleksiju; unakrsno oja\u010danje pove\u0107ava torzijsku krutost i \u010desto se mo\u017ee montirati izvana.<\/li>\n<\/ul>\n<h3>Mass addition<\/h3>\n<ul>\n<li><strong>Snizite prirodnu frekvenciju:<\/strong> dodaj masu da bismo snizili frekvenciju ispod raspona pobude.<\/li>\n<li><strong>Strate\u0161ko postavljanje:<\/strong> dodaj masu na lokacije anti\u010dvora za maksimalan efekat.<\/li>\n<li><strong>Tuned mass:<\/strong> pa\u017eljivo izra\u010dunata masa pomjera odre\u0111eni problemati\u010dan mod.<\/li>\n<li><strong>Trade-off:<\/strong> dodatna masa nije po\u017eeljna u svakoj primjeni.<\/li>\n<\/ul>\n<p>Bilo da odaberete da podignete ili spustite frekvenciju, brz prora\u010dun vas \u010duva od sljede\u0107eg pojasa rezonancije. A <a href=\"https:\/\/vibromera.eu\/bs\/calculators\/foundation-natural-frequency\/\">kalkulator prirodne frekvencije temelja<\/a> and a <a href=\"https:\/\/vibromera.eu\/bs\/calculators\/damping-ratio-calculator\/\">kalkulator odnosa prigu\u0161enja<\/a> poma\u017eu vam da procijente gdje \u0107e modificirana struktura biti prije nego \u0161to se bilo \u0161ta izre\u017ee.<\/p>\n<h3>Tretmani prigu\u0161enja<\/h3>\n<ul>\n<li><strong>Prigu\u0161enje stisnute sloja:<\/strong> viskoelasti\u010dni sloj uguran izme\u0111u metalnih povr\u0161ina, primijenjen na velike ravne panele i pokriva\u010de. Smanjuje vr\u0161nu rezonanciju za 50\u201380% i dobro funkcioni\u0161e u rasponu od pribli\u017eno 20\u2013500 Hz.<\/li>\n<li><strong>Prigu\u0161enje slobodnog sloja:<\/strong> materijal prigu\u0161enja vezan direktno na vibriraju\u0107u povr\u0161inu \u2014 jednostavnije od stisnute sloja ali manje efikasno, korisno gdje je pristup ograni\u010den.<\/li>\n<\/ul>\n<h3>Operativne promjene<\/h3>\n<ul>\n<li><strong>Speed change:<\/strong> pogoni na brzini gdje se rezonancija ne javlja.<\/li>\n<li><strong>Smanjiti pobude:<\/strong> improve <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/balancing\/\">balance<\/a> and <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/misalignment\/\">alignment<\/a> da biste smanjili amplitudu pobude koja hrani rezonanciju.<\/li>\n<li><strong>Promene procesa:<\/strong> promijenite tok, pritisak ili optere\u0107enje kako biste pomaknuli frekvencije pobude.<\/li>\n<\/ul>\n<h2>6. Prevencija u dizajnu<\/h2>\n<h3>Principi dizajna<\/h3>\n<ul>\n<li><strong>Odgovaraju\u0107a krutost:<\/strong> projektovati okvir tako da njegove prirodne frekvencije budu iznad 2\u00d7 najve\u0107e frekvencije pobude.<\/li>\n<li><strong>Raspodjela mase:<\/strong> izbjegavati koncentrirane mase koje stvaraju modove niske frekvencije.<\/li>\n<li><strong>Rebra i oja\u010danja:<\/strong> ugraditi elemente oja\u010danja od po\u010detka.<\/li>\n<li><strong>Modalna analiza:<\/strong> koristiti FEA tijekom dizajna kako bi se predvidjele i optimizir\u0430\u043b\u0435 prirodne frekvencije.<\/li>\n<\/ul>\n<h3>Provjera dizajna<\/h3>\n<ul>\n<li>Testiranje prototipa s analizom udara.<\/li>\n<li>Mjerenje oblika operacijske deformacije na prvim izgra\u0111enim jedinicama.<\/li>\n<li>Revidovati dizajn prije proizvodnje ako se prona\u0111u rezonancije.<\/li>\n<\/ul>\n<h2>7. Primjer iz prakse<\/h2>\n<p><strong>Situation:<\/strong> motor od 75 KS koji pokre\u0107e centrifugalni ventilator, s preteranih buku i vibracijom.<\/p>\n<ul>\n<li><strong>Symptoms:<\/strong> vibracija okvira motora 12 mm\/s; vibracija le\u017eaja samo 2,5 mm\/s.<\/li>\n<li><strong>Frequency:<\/strong> 120 Hz (2\u00d7 frekvencija mre\u017ee na 60 Hz napajanju).<\/li>\n<li><strong>Impact test:<\/strong> otkrivena prirodna frekvencija okvira na 118 Hz \u2014 gotovo to\u010dno na frekvenciji pobude.<\/li>\n<li><strong>Root cause:<\/strong> okvir je rezonirao na elektromagnetskoj frekvenciji pobude.<\/li>\n<li><strong>Rje\u0161enje:<\/strong> dodana su \u010detiri uglovna oja\u010danja od \u017eeljeza, povezuju\u0107i noge motora sa zavr\u0161nim poklopcima.<\/li>\n<li><strong>Result:<\/strong> prirodna frekvencija okvira pomaknula se na 165 Hz i vibracija pala na 3,2 mm\/s \u2014 ugodno natrag u prihvatljiv raspon pod <a href=\"https:\/\/vibromera.eu\/bs\/glossary\/iso-20816-3\/\">ISO 20816-3<\/a> (savremeni naslednik ISO 10816-3).<\/li>\n<li><strong>Cost:<\/strong> otprilike 200 dolara u materijalu, nasuprot oko 8.000 dolara za zamenu motora.<\/li>\n<\/ul>\n<p>Rezonancija okvira je \u010dest, ali \u010desto pogre\u0161no dijagnosticirani problem vibracija. Prepoznavanje karakteristi\u010dnih simptoma \u2014 visoka vibracija okvira u odnosu na vibracije le\u017eaja, strogo frekvencijski specifi\u010dna, sna\u017eno lokacijski zavisna \u2014 i primena ispravnih dijagnosti\u010dkih tehnika (testiranje udarcem i ODS analiza) vode do ciljanih re\u0161enja koja mogu drasti\u010dno smanjiti vibracije sa veoma skromnim tro\u0161kovima.<\/p>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/bs\/glossary\/\">\u2190 Povratak na glavnu stranicu<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Saznajte vi\u0161e o rezonanciji okvira, amplifikaciji vibracija kada se okvir\u0438 \u043c\u0430\u0448ina, ku\u0107i\u0161ta ili obloge rezonuju na radnim frekvencijama, \u0161to uzrokuje preradu buku i strukturni stres.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[109,110],"tags":[],"class_list":["post-125","glossary","type-glossary","status-publish","hentry","category-glossary","category-vibration-diagnostics"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/bs\/wp-json\/wp\/v2\/glossary\/125","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/bs\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/bs\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/bs\/wp-json\/wp\/v2\/glossary\/125\/revisions"}],"predecessor-version":[{"id":101384,"href":"https:\/\/vibromera.eu\/bs\/wp-json\/wp\/v2\/glossary\/125\/revisions\/101384"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/bs\/wp-json\/wp\/v2\/media?parent=125"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/bs\/wp-json\/wp\/v2\/categories?post=125"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/bs\/wp-json\/wp\/v2\/tags?post=125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}