{"id":294,"date":"2025-10-31T00:25:51","date_gmt":"2025-10-31T00:25:51","guid":{"rendered":"https:\/\/vibromera.eu\/glossary\/vector-addition\/"},"modified":"2026-07-17T21:02:21","modified_gmt":"2026-07-17T21:02:21","slug":"vector-addition","status":"publish","type":"glossary","link":"https:\/\/vibromera.eu\/hu\/glossary\/vector-addition\/","title":{"rendered":"Vektor\u00f6sszead\u00e1s a rotor kiegyens\u00falyoz\u00e1s\u00e1ban magyar\u00e1zattal"},"content":{"rendered":"<h1>A vektor\u00f6sszead\u00e1s meg\u00e9rt\u00e9se a rotor kiegyens\u00falyoz\u00e1s\u00e1ban<\/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\/hu\/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\/hu\/product\/balanset-1\/\" title=\"Hordozhat\u00f3 kiegyens\u00falyoz\u00f3 \u00e9s rezg\u00e9selemz\u0151 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 teljes k\u00e9szlet\u0171 hordozhat\u00f3 kiegyens\u00falyoz\u00f3 \u00e9s rezg\u00e9selemz\u0151 k\u00e9sz\u00fcl\u00e9k\" 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\/hu\/product-category\/devices\/\" rel=\"tag\">Eszk\u00f6z\u00f6k<\/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\/hu\/product\/balanset-1\/\" title=\"Hordozhat\u00f3 kiegyens\u00falyoz\u00f3 \u00e9s rezg\u00e9selemz\u0151 Balanset-1A\">Hordozhat\u00f3 kiegyens\u00falyoz\u00f3 \u00e9s rezg\u00e9selemz\u0151 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> + \u00c1FA (ha alkalmazand\u00f3)<\/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=\"\/hu\/wp-json\/wp\/v2\/glossary\/294?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=\"Kos\u00e1rba teszem\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Kos\u00e1rba teszem\" 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=\"\/hu\/wp-json\/wp\/v2\/glossary\/294?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=\"Kos\u00e1rba: \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=\"\">Kos\u00e1rba teszem<\/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\/hu\/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\/hu\/product\/vibration-sensor\/\" title=\"Rezg\u00e9s\u00e9rz\u00e9kel\u0151\">\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 rezg\u00e9s\u00e9rz\u00e9kel\u0151 k\u00f6zelr\u0151l\" 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\/hu\/product-category\/parts\/\" rel=\"tag\">Alkatr\u00e9szek<\/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\/hu\/product\/vibration-sensor\/\" title=\"Rezg\u00e9s\u00e9rz\u00e9kel\u0151\">Rezg\u00e9s\u00e9rz\u00e9kel\u0151<\/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> + \u00c1FA (ha alkalmazand\u00f3)<\/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=\"\/hu\/wp-json\/wp\/v2\/glossary\/294?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=\"Kos\u00e1rba teszem\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Kos\u00e1rba teszem\" 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=\"\/hu\/wp-json\/wp\/v2\/glossary\/294?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=\"Kos\u00e1rba: \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=\"\">Kos\u00e1rba teszem<\/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\/hu\/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\/hu\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optikai \u00e9rz\u00e9kel\u0151 (l\u00e9zeres fordulatsz\u00e1mm\u00e9r\u0151)\">\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=\"Optikai \u00e9rz\u00e9kel\u0151 (l\u00e9zeres fordulatsz\u00e1mm\u00e9r\u0151)\" 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\/hu\/product-category\/parts\/\" rel=\"tag\">Alkatr\u00e9szek<\/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\/hu\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optikai \u00e9rz\u00e9kel\u0151 (l\u00e9zeres fordulatsz\u00e1mm\u00e9r\u0151)\">Optikai \u00e9rz\u00e9kel\u0151 (l\u00e9zeres fordulatsz\u00e1mm\u00e9r\u0151)<\/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> + \u00c1FA (ha alkalmazand\u00f3)<\/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=\"\/hu\/wp-json\/wp\/v2\/glossary\/294?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=\"Kos\u00e1rba teszem\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Kos\u00e1rba teszem\" 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=\"\/hu\/wp-json\/wp\/v2\/glossary\/294?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=\"Kos\u00e1rba: \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=\"\">Kos\u00e1rba teszem<\/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\/hu\/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\/hu\/product\/balanset-4\/\" title=\"Balanset-4\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Vibromera rotor kiegyens\u00falyoz\u00f3 k\u00e9szlet: hordt\u00e1ska, t\u00f6bbcsatorn\u00e1s jel\u00e1talak\u00edt\u00f3, k\u00e9zi analiz\u00e1tor, m\u00e1gneses talp, rezg\u00e9s\u00e9rz\u00e9kel\u0151k \u00e9s tekercselt k\u00e1belek.\" 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\/hu\/product-category\/devices\/\" rel=\"tag\">Eszk\u00f6z\u00f6k<\/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\/hu\/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> + \u00c1FA (ha alkalmazand\u00f3)<\/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=\"\/hu\/wp-json\/wp\/v2\/glossary\/294?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=\"Kos\u00e1rba teszem\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Kos\u00e1rba teszem\" 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=\"\/hu\/wp-json\/wp\/v2\/glossary\/294?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=\"Kos\u00e1rba: \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=\"\">Kos\u00e1rba teszem<\/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\/hu\/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\/hu\/product\/magnet-stand\/\" title=\"M\u00e1gneses \u00e1llv\u00e1ny 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=\"M\u00e1gneses alap.\" 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\/hu\/product-category\/parts\/\" rel=\"tag\">Alkatr\u00e9szek<\/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\/hu\/product\/magnet-stand\/\" title=\"M\u00e1gneses \u00e1llv\u00e1ny Insize-60-kgf\">M\u00e1gneses \u00e1llv\u00e1ny 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> + \u00c1FA (ha alkalmazand\u00f3)<\/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=\"\/hu\/wp-json\/wp\/v2\/glossary\/294?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=\"Kos\u00e1rba teszem\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Kos\u00e1rba teszem\" 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=\"\/hu\/wp-json\/wp\/v2\/glossary\/294?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=\"Kos\u00e1rba: \u201cMagnetic Stand Insize-60-kgf\u201d\" rel=\"nofollow\" data-success_message=\"\u201cMagnetic Stand Insize-60-kgf\u201d has been added to your cart\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Kos\u00e1rba teszem<\/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\/hu\/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\/hu\/product\/reflective-tape\/\" title=\"F\u00e9nyvisszaver\u0151 szalag\">\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=\"F\u00e9nyvisszaver\u0151 szalag\" 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\/hu\/product-category\/parts\/\" rel=\"tag\">Alkatr\u00e9szek<\/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\/hu\/product\/reflective-tape\/\" title=\"F\u00e9nyvisszaver\u0151 szalag\">F\u00e9nyvisszaver\u0151 szalag<\/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> + \u00c1FA (ha alkalmazand\u00f3)<\/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=\"\/hu\/wp-json\/wp\/v2\/glossary\/294?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=\"Kos\u00e1rba teszem\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Kos\u00e1rba teszem\" 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=\"\/hu\/wp-json\/wp\/v2\/glossary\/294?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=\"Kos\u00e1rba: \u201cReflective tape\u201d\" rel=\"nofollow\" data-success_message=\"\u201cReflective tape\u201d has been added to your cart\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Kos\u00e1rba teszem<\/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\/hu\/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\/hu\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dinamikus kiegyens\u00falyoz\u00f3 &quot;Balanset-1A&quot; OEM\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Balanset-1A k\u00e9szlet tartalma interf\u00e9sz egys\u00e9ggel, \u00e9rz\u00e9kel\u0151kkel, tachom\u00e9terrel \u00e9s tartoz\u00e9kokkal\" 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\/hu\/product-category\/devices\/\" rel=\"tag\">Eszk\u00f6z\u00f6k<\/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\/hu\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dinamikus kiegyens\u00falyoz\u00f3 &quot;Balanset-1A&quot; OEM\">Dinamikus kiegyens\u00falyoz\u00f3 \"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> + \u00c1FA (ha alkalmazand\u00f3)<\/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=\"\/hu\/wp-json\/wp\/v2\/glossary\/294?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=\"Kos\u00e1rba teszem\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Kos\u00e1rba teszem\" 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=\"\/hu\/wp-json\/wp\/v2\/glossary\/294?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=\"Kos\u00e1rba: \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=\"\">Kos\u00e1rba teszem<\/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>Vektor \u00f6sszead\u00e1s<\/strong> az a matematikai m\u0171velet, amelynek sor\u00e1n k\u00e9t vagy t\u00f6bb vektort egyetlen eredm\u00e9nyvektorr\u00e1 egyes\u00edtenek. A <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/kiegyensulyozas\/\">rotor kiegyens\u00falyoz\u00e1s<\/a>, a rezg\u00e9st vektork\u00e9nt kezelj\u00fck, mivel egyszerre k\u00e9t inform\u00e1ci\u00f3t hordoz: a nagys\u00e1g\u00e1t (azaz <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/amplitude\/\">amplit\u00fad\u00f3<\/a>) \u00e9s egy ir\u00e1ny (az <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/phase\/\">f\u00e1zissz\u00f6g<\/a>). Ez rendk\u00edv\u00fcl fontos, mivel a k\u00fcl\u00f6n\u00e1ll\u00f3 forr\u00e1sok <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/unbalance\/\">kiegyens\u00falyozatlans\u00e1g<\/a> kombin\u00e1lni <em>vektori\u00e1lisan<\/em>, nem pedig algebrai szempontb\u00f3l \u2013 f\u00e1zisuk k\u00f6z\u00f6tti viszony ugyanolyan fontos, mint a nagys\u00e1guk. A vektor\u00f6sszegz\u00e9s alapos ismerete ez\u00e9rt teszi lehet\u0151v\u00e9 a m\u00e9rn\u00f6k sz\u00e1m\u00e1ra, hogy helyesen \u00e9rtelmezze az egyens\u00falyi adatokat, \u00e9s el\u0151re jelezze, hogyan fog <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/correction-weight\/\">korrekci\u00f3s s\u00faly<\/a> \u00e1talak\u00edtja az eg\u00e9sz rotorrendszer rezg\u00e9s\u00e9t.<\/p>\n<h2>1. Mi\u00e9rt kell a rezg\u00e9st vektork\u00e9nt kezelni?<\/h2>\n<p>A kiegyens\u00falyozatlans\u00e1g \u00e1ltal keltett rezg\u00e9s egy forg\u00f3er\u0151, amely egy fordulatonk\u00e9nt pontosan egyszer ism\u00e9tl\u0151dik. B\u00e1rmely \u00e9rz\u00e9kel\u0151helyen m\u00e9rt \u00e9rt\u00e9knek k\u00e9t elv\u00e1laszthatatlan tulajdons\u00e1ga van:<\/p>\n<ul>\n<li><strong>Amplit\u00fad\u00f3:<\/strong> a mozg\u00e1s nagys\u00e1ga vagy er\u0151ss\u00e9ge, \u00e1ltal\u00e1ban mm\/s, in\/s vagy mikronban kifejezve.<\/li>\n<li><strong>F\u00e1zis:<\/strong> az a sz\u00f6ghelyzet, amelyben a cs\u00facs a rotoron tal\u00e1lhat\u00f3 referenciajelhez viszony\u00edtva jelentkezik, 0\u00b0 \u00e9s 360\u00b0 k\u00f6z\u00f6tti fokban kifejezve, \u00e9s az <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/keyphasor\/\">kulcsf\u00e1zis<\/a> impulzus.<\/li>\n<\/ul>\n<p>Mivel a f\u00e1zis d\u00f6nt\u0151 jelent\u0151s\u00e9g\u0171, a rezg\u00e9samplit\u00fad\u00f3kat soha nem lehet egyszer\u0171en \u00f6sszeadni. K\u00e9pzelj\u00fcnk el k\u00e9t kiegyens\u00falyozatlans\u00e1got, amelyek mindegyike 5 mm\/s-os rezg\u00e9st gener\u00e1l: az \u00f6sszeg 0 mm\/s is lehet \u2013 ha 180\u00b0-os sz\u00f6gben \u00e1llnak egym\u00e1shoz k\u00e9pest \u00e9s kioltj\u00e1k egym\u00e1st \u2013, vagy ak\u00e1r 10 mm\/s is, ha f\u00e1zisban vannak \u00e9s egym\u00e1st er\u0151s\u00edtik. A sz\u00f6gt\u0151l f\u00fcgg\u0151en minden k\u00f6zb\u00fcls\u0151 \u00e9rt\u00e9k lehets\u00e9ges. Csak a vektor\u00f6sszegz\u00e9s, amely figyelembe veszi mind az amplit\u00fad\u00f3t, mind a f\u00e1zist, adja meg a helyes eredm\u00e9nyt.<\/p>\n<h2>2. A vektorok \u00f6sszead\u00e1s\u00e1nak matematikai alapjai<\/h2>\n<p>Egy vektort k\u00e9t egyen\u00e9rt\u00e9k\u0171 form\u00e1ban lehet le\u00edrni, \u00e9s a kiegyens\u00falyoz\u00e1s mindkett\u0151t felhaszn\u00e1lja, szabadon \u00e1talak\u00edtva \u0151ket egym\u00e1sba.<\/p>\n<h3>P\u00f3lusform\u00e1tum (nagys\u00e1g \u00e9s sz\u00f6g)<\/h3>\n<p>Itt a vektor az amplit\u00fad\u00f3 <em>A<\/em> f\u00e1zissz\u00f6gben <em>\u03b8<\/em> \u2014 p\u00e9ld\u00e1ul 5,0 mm\/s \u2220 45\u00b0. Ez a technikus sz\u00e1m\u00e1ra a legterm\u00e9szetesebb megfogalmaz\u00e1s, mivel k\u00f6zvetlen\u00fcl lek\u00e9pezi a m\u0171szer kijelz\u0151j\u00e9n l\u00e1that\u00f3 \u00e9rt\u00e9keket \u00e9s a <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/polar-plot\/\">pol\u00e1ris diagram<\/a>.<\/p>\n<h3>T\u00e9glalap alak\u00fa (kart\u00e9zi) forma (X- \u00e9s Y-komponensek)<\/h3>\n<p>Itt a vektort trigonometriai m\u00f3dszerekkel v\u00edzszintes (X) \u00e9s f\u00fcgg\u0151leges (Y) komponensekre bontjuk:<\/p>\n<ul>\n<li>X = A \u00d7 cos(\u03b8)<\/li>\n<li>Y = A \u00d7 sin(\u03b8)<\/li>\n<\/ul>\n<p>Az \u00f6sszead\u00e1s \u00edgy m\u00e1r gyerekj\u00e1t\u00e9k: \u00f6sszeadjuk az \u00f6sszes X-komponenst, \u00f6sszeadjuk az \u00f6sszes Y-komponenst, \u00e9s megkapjuk a vektor \u00f6sszetev\u0151it, amelyeket b\u00e1rmikor vissza lehet alak\u00edtani pol\u00e1ris form\u00e1ba, ha a nagys\u00e1g \u00e9s a sz\u00f6g megad\u00e1s\u00e1ra van sz\u00fcks\u00e9g.<\/p>\n<h3>P\u00e9lda<\/h3>\n<p>Vegy\u00fcnk k\u00e9t rezg\u00e9svektort:<\/p>\n<ul>\n<li>1. vektor: 4,0 mm\/s \u2220 30\u00b0<\/li>\n<li>2. vektor: 3,0 mm\/s \u2220 120\u00b0<\/li>\n<\/ul>\n<p>Mindegyiket alak\u00edtsuk \u00e1t t\u00e9glalap alak\u00fara:<\/p>\n<ul>\n<li>1. vektor: X\u2081 = 4,0 \u00d7 cos(30\u00b0) = 3,46, Y\u2081 = 4,0 \u00d7 sin(30\u00b0) = 2,00<\/li>\n<li>2. vektor: X\u2082 = 3,0 \u00d7 cos(120\u00b0) = \u22121,50, Y\u2082 = 3,0 \u00d7 sin(120\u00b0) = 2,60<\/li>\n<\/ul>\n<p>Adja hozz\u00e1 az \u00f6sszetev\u0151ket:<\/p>\n<ul>\n<li>X_total = 3.46 + (-1.50) = 1.96<\/li>\n<li>Y_\u00f6sszeg = 2,00 + 2,60 = 4,60<\/li>\n<\/ul>\n<p>Vissza kell alak\u00edtani pol\u00e1ris alakba:<\/p>\n<ul>\n<li>Amplit\u00fad\u00f3 = \u221a(1,96\u00b2 + 4,60\u00b2) = 5,00 mm\/s<\/li>\n<li>F\u00e1zis = arctan(4,60 \/ 1,96) = 66,9\u00b0<\/li>\n<\/ul>\n<p>Eredm\u00e9ny: az \u00f6sszetett rezg\u00e9s <strong>5,00 mm\/s \u2220 66,9\u00b0<\/strong>. Figyelj\u00fck meg, hogy a 4,0 \u00e9s 3,0 mm\/s sebess\u00e9g\u0171 k\u00e9t vektor <em>nem<\/em> \u00f6sszeadva 7,0-t adnak; mivel 90\u00b0-os sz\u00f6gben \u00e1lltak egym\u00e1shoz k\u00e9pest, \u00f6sszege pontosan 5,0 lett, azaz a j\u00f3l ismert 3-4-5-\u00f6s der\u00e9ksz\u00f6g\u0171 h\u00e1romsz\u00f6g. Ez a k\u00fcl\u00f6nbs\u00e9g a naiv \u00f6sszegz\u00e9s \u00e9s a val\u00f3di eredm\u00e9ny k\u00f6z\u00f6tt pontosan azt mutatja, hogy a f\u00e1zist nem lehet figyelmen k\u00edv\u00fcl hagyni. Ha a saj\u00e1t m\u00e9rt vektorokat k\u00e9zi sz\u00e1m\u00edt\u00e1s n\u00e9lk\u00fcl szeretn\u00e9d \u00f6sszeadni, akkor a <a href=\"https:\/\/vibromera.eu\/hu\/calculators\/vibration-phase-angle\/\">Rezg\u00e9si f\u00e1zissz\u00f6g kalkul\u00e1tor<\/a> k\u00f6zvetlen\u00fcl elv\u00e9gzi az \u00e1talak\u00edt\u00e1st \u00e9s az \u00f6sszead\u00e1st.<\/p>\n<h2>3. A grafikus \u201etip-to-tail\u201d m\u00f3dszer<\/h2>\n<p>A vektorok \u00f6sszead\u00e1s\u00e1t rajzol\u00e1ssal is elv\u00e9gezhetj\u00fck, ami azonnali vizu\u00e1lis k\u00e9pet ad arr\u00f3l, hogyan kapcsol\u00f3dnak \u00f6ssze a vektorok, \u00e9s k\u00f6nnyen \u00e1br\u00e1zolhat\u00f3 pol\u00e1ris koordin\u00e1tarendszerben:<\/p>\n<ol>\n<li><strong>Rajzoljuk meg az els\u0151 vektort:<\/strong> a kezd\u0151pontb\u00f3l, hossza az amplit\u00fad\u00f3, ir\u00e1nya pedig a f\u00e1zis.<\/li>\n<li><strong>Helyezze el a m\u00e1sodik vektort:<\/strong> a fark\u00e1t az els\u0151 vektor hegy\u00e9re helyezze, mik\u00f6zben a saj\u00e1t megfelel\u0151 hossz\u00e1t \u00e9s sz\u00f6g\u00e9t megtartja.<\/li>\n<li><strong>Rajzoljuk meg az eredm\u00e9nyvektort:<\/strong> az orig\u00f3t\u00f3l a m\u00e1sodik vektor cs\u00facs\u00e1ig h\u00fazott egyenes jelenti az \u00f6sszeget.<\/li>\n<\/ol>\n<p>Ez a m\u00f3dszer j\u00f3l j\u00f6n, ha gyorsan meg akarjuk becs\u00fclni, milyen hat\u00e1ssal j\u00e1r egy korrekci\u00f3s s\u00faly hozz\u00e1ad\u00e1sa vagy elt\u00e1vol\u00edt\u00e1sa, illetve ha ellen\u0151rizni szeretn\u00e9nk a m\u0171szer \u00e1ltal kiadott \u00e9rt\u00e9kek helyess\u00e9g\u00e9t.<\/p>\n<h2>4. Gyakorlati alkalmaz\u00e1s az egyens\u00falyoz\u00e1sban<\/h2>\n<p>A vektorok \u00f6sszead\u00e1sa nem csup\u00e1n egy mell\u00e9kes sz\u00e1m\u00edt\u00e1s \u2013 hanem a kiegyens\u00falyoz\u00e1si munkafolyamat minden szakasz\u00e1ba szorosan be\u00e9p\u00fcl.<\/p>\n<h3>Az eredeti kiegyens\u00falyozatlans\u00e1g \u00e9s a pr\u00f3bas\u00faly kombin\u00e1l\u00e1sa<\/h3>\n<p>Amikor egy <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/trial-weight\/\">pr\u00f3bas\u00faly<\/a> A m\u00e9r\u0151m\u0171szer felszerel\u00e9se ut\u00e1n az \u00faj m\u00e9r\u00e9si \u00e9rt\u00e9k az eredeti kiegyens\u00falyozatlans\u00e1gi rezg\u00e9s (O) \u00e9s a pr\u00f3bas\u00faly hat\u00e1s\u00e1nak (T) vektor\u00f6sszege. A m\u0171szer k\u00f6zvetlen\u00fcl az (O+T) \u00e9rt\u00e9ket m\u00e9ri; a T \u00e9rt\u00e9k elk\u00fcl\u00f6n\u00edt\u00e9s\u00e9hez vektor-kivon\u00e1st hajt v\u00e9gre: T = (O+T) \u2212 O.<\/p>\n<h3>A hat\u00e1st\u00e9nyez\u0151 kisz\u00e1m\u00edt\u00e1sa<\/h3>\n<p>A <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/influence-coefficient\/\">befoly\u00e1soss\u00e1gi egy\u00fctthat\u00f3<\/a> a pr\u00f3bas\u00faly vektorhat\u00e1s\u00e1nak a pr\u00f3bat\u00f6meggel val\u00f3 oszt\u00e1s\u00e1val ad\u00f3dik, \u00edgy ez is vektormennyis\u00e9g \u2013 azaz a rezg\u00e9s m\u00e9rt\u00e9ke a t\u00f6meg egys\u00e9g\u00e9re vet\u00edtve, egy jellegzetes sz\u00f6gben. A <a href=\"https:\/\/vibromera.eu\/hu\/calculators\/influence-coefficient-calculator\/\">Befoly\u00e1sol\u00e1si egy\u00fctthat\u00f3 kalkul\u00e1tor<\/a> automatiz\u00e1lja ezt az egy s\u00edk\u00fa esetet.<\/p>\n<h3>A korrekci\u00f3s s\u00faly meghat\u00e1roz\u00e1sa<\/h3>\n<p>A korrekci\u00f3s s\u00falyvektor az eredeti rezg\u00e9s ellent\u00e9te (180\u00b0-os f\u00e1ziseltol\u00f3d\u00e1s), osztva a hat\u00e1si egy\u00fctthat\u00f3val. Ilyen m\u00f3don kisz\u00e1m\u00edtva hat\u00e1sa \u2013 amikor vektorosan visszaadjuk az eredeti kiegyens\u00falyozatlans\u00e1ghoz \u2013 azt semleges\u00edti, \u00edgy a rezg\u00e9s \u00e9rt\u00e9ke null\u00e1hoz k\u00f6zeledik.<\/p>\n<h3>A v\u00e9gs\u0151 rezg\u00e9s el\u0151rejelz\u00e9se<\/h3>\n<p>A korrekci\u00f3 be\u00e1ll\u00edt\u00e1sa ut\u00e1n a v\u00e1rhat\u00f3 <a href=\"https:\/\/vibromera.eu\/hu\/glossary\/residual-unbalance\/\">marad\u00e9k rezg\u00e9s<\/a> az eredeti rezg\u00e9svektor \u00e9s a korrekci\u00f3 kisz\u00e1m\u00edtott hat\u00e1s\u00e1nak \u00f6sszead\u00e1s\u00e1val el\u0151re jelezhet\u0151. Ezen el\u0151rejelz\u00e9s \u00e9s a m\u00e9rt eredm\u00e9ny \u00f6sszehasonl\u00edt\u00e1sa hat\u00e9kony min\u0151s\u00e9g-ellen\u0151rz\u00e9st jelent a teljes munk\u00e1ra n\u00e9zve.<\/p>\n<h2>5. Vektorok kivon\u00e1sa<\/h2>\n<p>A vektorok kivon\u00e1sa nem m\u00e1s, mint a vektorok \u00f6sszead\u00e1sa, csakhogy a m\u00e1sodik vektort megford\u00edtjuk (180\u00b0-kal elforgatjuk). A B vektor kivon\u00e1s\u00e1hoz az A vektorb\u00f3l:<\/p>\n<ul>\n<li>Ford\u00edtsa meg B-t 180\u00b0-kal \u2013 vagy der\u00e9ksz\u00f6g\u0171 (Descartes-f\u00e9le) alakban egyszer\u0171en ford\u00edtsa meg (neg\u00e1lja) mindk\u00e9t \u00f6sszetev\u0151j\u00e9t.<\/li>\n<li>Adjuk \u00f6ssze a megford\u00edtott B-t az A-val a szok\u00e1sos vektor\u00f6sszegz\u00e9ssel.<\/li>\n<\/ul>\n<p>Mint fentebb eml\u00edtett\u00fck, ez az a m\u0171velet, amely elk\u00fcl\u00f6n\u00edti a pr\u00f3bas\u00faly hat\u00e1s\u00e1t: T = (O+T) \u2212 O, ahol O az eredeti rezg\u00e9s, (O+T) pedig a pr\u00f3bas\u00faly felszerel\u00e9se ut\u00e1ni m\u00e9r\u00e9si \u00e9rt\u00e9k.<\/p>\n<h2>6. Gyakori hib\u00e1k \u00e9s t\u00e9vhitek<\/h2>\n<p>A vektoros matematik\u00e1b\u00f3l ered\u0151 egyens\u00falyoz\u00e1si hib\u00e1k t\u00f6bbs\u00e9ge h\u00e1rom csapd\u00e1ba esik:<\/p>\n<ul>\n<li><strong>Amplit\u00fad\u00f3k k\u00f6zvetlen \u00f6sszead\u00e1sa:<\/strong> Ha a 3 mm\/s \u00e9s a 4 mm\/s \u00e9rt\u00e9keket \u00f6sszesen 7 mm\/s-k\u00e9nt kezelj\u00fck, akkor a f\u00e1zist teljesen figyelmen k\u00edv\u00fcl hagyjuk; amint azt a p\u00e9lda is mutatta, a val\u00f3di eredm\u00e9ny a k\u00e9t \u00e9rt\u00e9k k\u00f6z\u00f6tti sz\u00f6gt\u0151l f\u00fcgg.<\/li>\n<li><strong>A f\u00e1zisinform\u00e1ci\u00f3 figyelmen k\u00edv\u00fcl hagy\u00e1sa:<\/strong> Ha kiz\u00e1r\u00f3lag az amplit\u00fad\u00f3ra t\u00e1maszkodva pr\u00f3b\u00e1lunk egyens\u00falyt teremteni, f\u00e1zisreferencia n\u00e9lk\u00fcl, az szinte soha nem vezet j\u00f3 eredm\u00e9nyhez.<\/li>\n<li><strong>Inkonzisztens sz\u00f6gjel\u00f6l\u00e9si szok\u00e1s:<\/strong> Ha az \u00f3ramutat\u00f3 j\u00e1r\u00e1s\u00e1val megegyez\u0151 \u00e9s azzal ellent\u00e9tes ir\u00e1ny\u00fa szab\u00e1lyokat keverj\u00fck \u00f6ssze, vagy rossz kiindul\u00e1si pontb\u00f3l m\u00e9r\u00fcnk, a korrekci\u00f3s s\u00falyok a rotoron a helytelen poz\u00edci\u00f3ba ker\u00fclnek.<\/li>\n<\/ul>\n<h2>7. A modern eszk\u00f6z\u00f6k kezelik a vektoros matematik\u00e1t<\/h2>\n<p>B\u00e1r a matematikai ismeretek elsaj\u00e1t\u00edt\u00e1sa elengedhetetlen minden kiegyens\u00falyoz\u00f3 szakember sz\u00e1m\u00e1ra, a sz\u00e1m\u00edt\u00e1sokat manaps\u00e1g m\u00e1r a m\u0171szer v\u00e9gzi el automatikusan. Egy hordozhat\u00f3 elemz\u0151k\u00e9sz\u00fcl\u00e9k, mint p\u00e9ld\u00e1ul a <a href=\"https:\/\/vibromera.eu\/hu\/termek\/balanset-1\/\">Balanset-1A<\/a> \u00f6sszegy\u0171jti mindk\u00e9t csatorna amplit\u00fad\u00f3j\u00e1t \u00e9s f\u00e1zis\u00e1t, minden vektor\u00f6sszegz\u00e9st, -kivon\u00e1st \u00e9s -oszt\u00e1st bels\u0151leg elv\u00e9gzi, az eredm\u00e9nyeket numerikusan \u00e9s grafikusan pol\u00e1rdiagramokon jelen\u00edti meg, majd a v\u00e9gs\u0151 korrekci\u00f3s s\u00falyt \u00e9s sz\u00f6ghelyzetet jelenti, amelyek k\u00e9szen \u00e1llnak a beilleszt\u00e9sre. Az alapul szolg\u00e1l\u00f3 elm\u00e9let azonban tov\u00e1bbra is meg\u00e9ri a befektet\u00e9st: az azt \u00e9rt\u0151 m\u00e9rn\u00f6k ellen\u0151rizni tudja a m\u0171szer kimenet\u00e9t, diagnosztiz\u00e1lni tudja a rendelleness\u00e9geket, ha egy eredm\u00e9ny helytelennek t\u0171nik, \u00e9s meg\u00e9rtheti, mi\u00e9rt konverg\u00e1lnak bizonyos kiegyens\u00falyoz\u00e1si strat\u00e9gi\u00e1k gyorsabban, mint m\u00e1sok.<\/p>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/hu\/glossary\/\">\u2190 Vissza a f\u0151 tartalomjegyz\u00e9khez<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Ismerje meg a vektor\u00f6sszead\u00e1st, a kiegyens\u00falyoz\u00e1sban haszn\u00e1lt matematikai m\u00f3dszert, amely a rezg\u00e9svektorokat mind az amplit\u00fad\u00f3val, mind a f\u00e1zissal kombin\u00e1lja, \u00e9s elengedhetetlen a korrekci\u00f3s s\u00falyok pontos kisz\u00e1m\u00edt\u00e1s\u00e1hoz.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[109,111],"tags":[],"class_list":["post-294","glossary","type-glossary","status-publish","hentry","category-glossary","category-rotor-balancing"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/hu\/wp-json\/wp\/v2\/glossary\/294","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/hu\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/hu\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":4,"href":"https:\/\/vibromera.eu\/hu\/wp-json\/wp\/v2\/glossary\/294\/revisions"}],"predecessor-version":[{"id":102810,"href":"https:\/\/vibromera.eu\/hu\/wp-json\/wp\/v2\/glossary\/294\/revisions\/102810"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/hu\/wp-json\/wp\/v2\/media?parent=294"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/hu\/wp-json\/wp\/v2\/categories?post=294"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/hu\/wp-json\/wp\/v2\/tags?post=294"}],"curies":[{"name":"munkaf\u00fczet","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}