{"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\/fi\/glossary\/vector-addition\/","title":{"rendered":"Vektorien yhteenlasku roottorin tasapainotuksessa selitettyn\u00e4"},"content":{"rendered":"<h1>Vektorien yhteenlaskun ymm\u00e4rt\u00e4minen roottorin tasapainotuksessa<\/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\/fi\/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\/fi\/product\/balanset-1\/\" title=\"Kannettava tasapainotin ja t\u00e4rin\u00e4analysaattori 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 kannettava tasapainotin ja v\u00e4r\u00e4htelyanalysaattori, t\u00e4ydellinen sarja\" 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\/fi\/product-category\/devices\/\" rel=\"tag\">Laitteet<\/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\/fi\/product\/balanset-1\/\" title=\"Kannettava tasapainotin ja t\u00e4rin\u00e4analysaattori Balanset-1A\">Kannettava tasapainotin &#038; t\u00e4rin\u00e4analysaattori 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\">&euro;<\/span>1,975.00<\/span> + ALV (jos sovellettavissa)<\/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=\"\/fi\/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=\"Lis\u00e4\u00e4 ostoskoriin\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Lis\u00e4\u00e4 ostoskoriin\" 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=\"\/fi\/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=\"Lis\u00e4\u00e4 ostoskoriin: \u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d\" rel=\"nofollow\" data-success_message=\"\u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d on lis\u00e4tty ostoskoriin\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Lis\u00e4\u00e4 ostoskoriin<\/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\/fi\/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\/fi\/product\/vibration-sensor\/\" title=\"T\u00e4rin\u00e4anturi\">\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:n t\u00e4rin\u00e4anturin l\u00e4hikuva\" 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\/fi\/product-category\/parts\/\" rel=\"tag\">Osat<\/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\/fi\/product\/vibration-sensor\/\" title=\"T\u00e4rin\u00e4anturi\">T\u00e4rin\u00e4anturi<\/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\">&euro;<\/span>90.00<\/span> + ALV (jos sovellettavissa)<\/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=\"\/fi\/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=\"Lis\u00e4\u00e4 ostoskoriin\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Lis\u00e4\u00e4 ostoskoriin\" 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=\"\/fi\/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=\"Lis\u00e4\u00e4 ostoskoriin: \u201cVibration sensor\u201d\" rel=\"nofollow\" data-success_message=\"\u201cVibration sensor\u201d on lis\u00e4tty ostoskoriin\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Lis\u00e4\u00e4 ostoskoriin<\/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\/fi\/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\/fi\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optinen anturi (lasertakometri)\">\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=\"Optinen anturi (lasertakometri)\" 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\/fi\/product-category\/parts\/\" rel=\"tag\">Osat<\/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\/fi\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Optinen anturi (lasertakometri)\">Optinen anturi (lasertakometri)<\/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\">&euro;<\/span>124.00<\/span> + ALV (jos sovellettavissa)<\/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=\"\/fi\/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=\"Lis\u00e4\u00e4 ostoskoriin\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Lis\u00e4\u00e4 ostoskoriin\" 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=\"\/fi\/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=\"Lis\u00e4\u00e4 ostoskoriin: \u201cOptical Sensor (Laser Tachometer)\u201d\" rel=\"nofollow\" data-success_message=\"\u201cOptical Sensor (Laser Tachometer)\u201d on lis\u00e4tty ostoskoriin\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Lis\u00e4\u00e4 ostoskoriin<\/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\/fi\/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\/fi\/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-roottorin tasapainotussarja: kantolaukku, monikanavainen signaalimuunnin, k\u00e4dess\u00e4 pidett\u00e4v\u00e4 analysaattori, magneettijalusta, t\u00e4rin\u00e4anturit ja kierretyt kaapelit.\" 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\/fi\/product-category\/devices\/\" rel=\"tag\">Laitteet<\/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\/fi\/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\">&euro;<\/span>6,803.00<\/span> + ALV (jos sovellettavissa)<\/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=\"\/fi\/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=\"Lis\u00e4\u00e4 ostoskoriin\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Lis\u00e4\u00e4 ostoskoriin\" 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=\"\/fi\/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=\"Lis\u00e4\u00e4 ostoskoriin: \u201cBalanset-4\u201d\" rel=\"nofollow\" data-success_message=\"\u201cBalanset-4\u201d on lis\u00e4tty ostoskoriin\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Lis\u00e4\u00e4 ostoskoriin<\/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\/fi\/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\/fi\/product\/magnet-stand\/\" title=\"Magneettinen jalusta 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=\"Magneettipohja.\" 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\/fi\/product-category\/parts\/\" rel=\"tag\">Osat<\/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\/fi\/product\/magnet-stand\/\" title=\"Magneettinen jalusta Insize-60-kgf\">Magneettinen jalusta 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\">&euro;<\/span>46.00<\/span> + ALV (jos sovellettavissa)<\/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=\"\/fi\/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=\"Lis\u00e4\u00e4 ostoskoriin\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Lis\u00e4\u00e4 ostoskoriin\" 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=\"\/fi\/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=\"Lis\u00e4\u00e4 ostoskoriin: \u201cMagnetic Stand Insize-60-kgf\u201d\" rel=\"nofollow\" data-success_message=\"\u201cMagnetic Stand Insize-60-kgf\u201d on lis\u00e4tty ostoskoriin\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Lis\u00e4\u00e4 ostoskoriin<\/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\/fi\/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\/fi\/product\/reflective-tape\/\" title=\"Heijastava nauha\">\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=\"Heijastava nauha\" 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\/fi\/product-category\/parts\/\" rel=\"tag\">Osat<\/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\/fi\/product\/reflective-tape\/\" title=\"Heijastava nauha\">Heijastava nauha<\/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\">&euro;<\/span>10.00<\/span> + ALV (jos sovellettavissa)<\/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=\"\/fi\/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=\"Lis\u00e4\u00e4 ostoskoriin\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Lis\u00e4\u00e4 ostoskoriin\" 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=\"\/fi\/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=\"Lis\u00e4\u00e4 ostoskoriin: \u201cReflective tape\u201d\" rel=\"nofollow\" data-success_message=\"\u201cReflective tape\u201d on lis\u00e4tty ostoskoriin\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Lis\u00e4\u00e4 ostoskoriin<\/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\/fi\/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\/fi\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dynaaminen tasapainotin &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-pakkauksen sis\u00e4lt\u00f6, jossa on liit\u00e4nt\u00e4yksikk\u00f6, anturit, kierroslukumittari ja lis\u00e4varusteet\" 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\/fi\/product-category\/devices\/\" rel=\"tag\">Laitteet<\/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\/fi\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dynaaminen tasapainotin &quot;Balanset-1A&quot; OEM\">Dynaaminen tasapainotin \"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\">&euro;<\/span>1,735.00<\/span> + ALV (jos sovellettavissa)<\/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=\"\/fi\/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=\"Lis\u00e4\u00e4 ostoskoriin\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Lis\u00e4\u00e4 ostoskoriin\" 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=\"\/fi\/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=\"Lis\u00e4\u00e4 ostoskoriin: \u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d\" rel=\"nofollow\" data-success_message=\"\u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d on lis\u00e4tty ostoskoriin\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Lis\u00e4\u00e4 ostoskoriin<\/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>Vektorien yhteenlasku<\/strong> on matemaattinen operaatio, jossa kaksi tai useampia vektoreita yhdistet\u00e4\u00e4n yhdeksi tuloksena olevaksi vektoriksi. <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/tasapainottaminen\/\">roottorin tasapainotus<\/a>, t\u00e4rin\u00e4\u00e4 k\u00e4sitell\u00e4\u00e4n vektorina, koska se v\u00e4litt\u00e4\u00e4 kahta tietoa kerralla: suuruuden (sen <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/amplitude\/\">amplitudi<\/a>) ja suunta (sen <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/phase\/\">vaihekulma<\/a>). T\u00e4ll\u00e4 on valtava merkitys, koska erilliset l\u00e4hteet <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/unbalance\/\">ep\u00e4tasapaino<\/a> combine <em>vektoriaalisesti<\/em>, ei pelk\u00e4st\u00e4\u00e4n matemaattisesti \u2014 niiden v\u00e4liset vaihesuhteet ovat yht\u00e4 t\u00e4rkeit\u00e4 kuin niiden suuruudetkin. Vektoreiden yhteenlaskun vankka hallinta onkin se, mik\u00e4 antaa insin\u00f6\u00f6rille mahdollisuuden tulkita tasapainotustietoja oikein ja ennustaa, miten <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/correction-weight\/\">korjauspaino<\/a> muuttaa koko roottorij\u00e4rjestelm\u00e4n v\u00e4r\u00e4htely\u00e4.<\/p>\n<h2>1. Miksi t\u00e4rin\u00e4\u00e4 on k\u00e4sitelt\u00e4v\u00e4 vektorina<\/h2>\n<p>Ep\u00e4tasapainosta johtuva t\u00e4rin\u00e4 on py\u00f6riv\u00e4 voima, joka toistuu t\u00e4sm\u00e4lleen kerran kierrosta kohden. Kun sit\u00e4 mitataan mill\u00e4 tahansa anturipaikalla, sill\u00e4 on kaksi erottamatonta ominaisuutta:<\/p>\n<ul>\n<li><strong>Amplitudi:<\/strong> liikkeen suuruus tai voimakkuus, yleens\u00e4 yksikk\u00f6in\u00e4 mm\/s, in\/s tai mikronia.<\/li>\n<li><strong>Vaihe:<\/strong> kulmahetki, jolloin huippuarvo saavutetaan suhteessa roottorin vertailumerkkiin, ilmaistuna asteina v\u00e4lill\u00e4 0\u00b0\u2013360\u00b0 ja mitattuna ajallisesti <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/keyphasor\/\">Keyphasor<\/a> pulse.<\/li>\n<\/ul>\n<p>Koska vaihe on ratkaiseva tekij\u00e4, v\u00e4r\u00e4htelyamplitudit eiv\u00e4t voi koskaan yksinkertaisesti laskea yhteen. Kuvitellaan kaksi ep\u00e4tasapainoa, jotka kumpikin tuottavat 5 mm\/s: kokonaisarvo voi olla mit\u00e4 tahansa 0 mm\/s:st\u00e4 \u2013 jos ne ovat 180\u00b0:n p\u00e4\u00e4ss\u00e4 toisistaan ja kumoavat toisensa \u2013 aina 10 mm\/s:iin, jos ne ovat samassa vaiheessa ja vahvistavat toisiaan. Kaikki n\u00e4iden v\u00e4liss\u00e4 olevat arvot ovat mahdollisia kulmasta riippuen. Vain vektorien yhteenlasku, jossa otetaan huomioon sek\u00e4 amplitudi ett\u00e4 vaihe, antaa oikean vastauksen.<\/p>\n<h2>2. Vektorien yhteenlaskun matemaattiset perusteet<\/h2>\n<p>Vektori voidaan esitt\u00e4\u00e4 kahdessa toisensa vastaavassa muodossa, ja tasapainottamisessa k\u00e4ytet\u00e4\u00e4n molempia muotoja, joita voidaan vapaasti muuntaa toisikseen.<\/p>\n<h3>Polaarimuoto (suuruus ja kulma)<\/h3>\n<p>T\u00e4ss\u00e4 vektori on amplitudi <em>A<\/em> vaihekulmassa <em>\u03b8<\/em> \u2014 esimerkiksi 5,0 mm\/s \u2220 45\u00b0. T\u00e4m\u00e4 on teknikolle luonnollisin muoto, koska se vastaa suoraan laitteen n\u00e4ytt\u00f6\u00e4 ja <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/polar-plot\/\">polaaridiagrammi<\/a>.<\/p>\n<h3>Suorakulmainen (kartesialainen) muoto (X- ja Y-komponentit)<\/h3>\n<p>T\u00e4ss\u00e4 vektori jaetaan trigonometrian avulla vaakasuoraan (X) ja pystysuoraan (Y) komponenttiin:<\/p>\n<ul>\n<li>X = A \u00d7 cos(\u03b8)<\/li>\n<li>Y = A \u00d7 sin(\u03b8)<\/li>\n<\/ul>\n<p>Laskeminen on sitten helppoa: laske yhteen kaikki X-komponentit, laske yhteen kaikki Y-komponentit, ja saat tuloksen komponentit, jotka voidaan muuntaa takaisin polaarimuotoon aina, kun halutaan vastaus, jossa on sek\u00e4 suuruus ett\u00e4 kulma.<\/p>\n<h3>Esimerkki<\/h3>\n<p>Otetaan kaksi v\u00e4r\u00e4htelyvektoria:<\/p>\n<ul>\n<li>Vektori 1: 4,0 mm\/s \u2220 30\u00b0<\/li>\n<li>Vektori 2: 3,0 mm\/s \u2220 120\u00b0<\/li>\n<\/ul>\n<p>Muunna kukin suorakulmaiseksi:<\/p>\n<ul>\n<li>Vektori 1: X\u2081 = 4,0 \u00d7 cos(30\u00b0) = 3,46, Y\u2081 = 4,0 \u00d7 sin(30\u00b0) = 2,00<\/li>\n<li>Vektori 2: 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>Lis\u00e4\u00e4 komponentit:<\/p>\n<ul>\n<li>X_total = 3.46 + (\u22121.50) = 1.96<\/li>\n<li>Y_total = 2,00 + 2,60 = 4,60<\/li>\n<\/ul>\n<p>Muunna takaisin polaarimuotoon:<\/p>\n<ul>\n<li>Amplitudi = \u221a(1,96\u00b2 + 4,60\u00b2) = 5,00 mm\/s<\/li>\n<li>Vaihe = arctan(4,60 \/ 1,96) = 66,9\u00b0<\/li>\n<\/ul>\n<p>Tulos: yhdistetty t\u00e4rin\u00e4 on <strong>5.00 mm\/s \u2220 66.9\u00b0<\/strong>. Huomaa, ett\u00e4 kaksi vektoria, joiden nopeudet olivat 4,0 ja 3,0 mm\/s, <em>ei<\/em> lasketaan yhteen 7,0:ksi; koska ne olivat 90\u00b0:n kulmassa toisiinsa n\u00e4hden, niiden summa oli tarkalleen 5,0, eli tuttu 3-4-5-suorakulmainen kolmio. Juuri t\u00e4m\u00e4 ero yksinkertaisen summan ja todellisen tuloksen v\u00e4lill\u00e4 on syy siihen, miksi vaihetta ei voida j\u00e4tt\u00e4\u00e4 huomiotta. Jos haluat yhdist\u00e4\u00e4 omat mitatut vektorisi ilman k\u00e4sinlaskua, <a href=\"https:\/\/vibromera.eu\/fi\/calculators\/vibration-phase-angle\/\">T\u00e4rin\u00e4vaihekulman laskin<\/a> suorittaa muunnoksen ja yhteenlaskun suoraan.<\/p>\n<h2>3. Graafinen p\u00e4\u00e4st\u00e4 p\u00e4\u00e4h\u00e4n -menetelm\u00e4<\/h2>\n<p>Vektoreiden yhteenlasku voidaan tehd\u00e4 my\u00f6s piirt\u00e4m\u00e4ll\u00e4, mik\u00e4 antaa v\u00e4litt\u00f6m\u00e4n visuaalisen k\u00e4sityksen siit\u00e4, miten vektorit yhdistyv\u00e4t, ja se on helppo piirt\u00e4\u00e4 polaarikoordinaatistoon:<\/p>\n<ol>\n<li><strong>Piirr\u00e4 ensimm\u00e4inen vektori:<\/strong> alkuper\u00e4pisteest\u00e4, siten ett\u00e4 sen pituus on amplitudi ja suunta on vaihe.<\/li>\n<li><strong>Sijoita toinen vektori:<\/strong> aseta sen h\u00e4nt\u00e4 ensimm\u00e4isen vektorin k\u00e4rjen kohtaan siten, ett\u00e4 sen oma pituus ja kulma s\u00e4ilyv\u00e4t oikeina.<\/li>\n<li><strong>Piirr\u00e4 tuloksena oleva voima:<\/strong> suora, joka kulkee origosta toisen vektorin k\u00e4rkeen, on summa.<\/li>\n<\/ol>\n<p>T\u00e4m\u00e4 malli on k\u00e4tev\u00e4, kun halutaan nopeasti arvioida korjauspainon lis\u00e4\u00e4misen tai poistamisen vaikutusta sek\u00e4 tarkistaa mittarin tuottamien lukujen j\u00e4rkevyys.<\/p>\n<h2>4. K\u00e4yt\u00e4nn\u00f6n sovellus tasapainottamisessa<\/h2>\n<p>Vektorien yhteenlasku ei ole sivulaskutoimitus \u2013 se on integroitu tasapainotusprosessin jokaiseen vaiheeseen.<\/p>\n<h3>Alkuper\u00e4isen ep\u00e4tasapainon ja koepainon yhdist\u00e4minen<\/h3>\n<p>Kun <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/trial-weight\/\">koepaino<\/a> Kun paino on kiinnitetty, uusi lukema on alkuper\u00e4isen ep\u00e4tasaino-v\u00e4r\u00e4htelyn (O) ja koepainon vaikutuksen (T) vektorisumma. Laite mittaa suoraan (O+T); erottaakseen pelk\u00e4n T:n se suorittaa vektoriv\u00e4hennyslaskun: T = (O+T) \u2212 O.<\/p>\n<h3>Vaikutuskertoimen laskeminen<\/h3>\n<p>The <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/influence-coefficient\/\">vaikutuskerroin<\/a> lasketaan jakamalla koepainon vektorivaikutus koepainon massalla, joten sekin on vektorisuure \u2013 t\u00e4rin\u00e4n suuruus painoyksikk\u00f6\u00e4 kohti tietyll\u00e4 ominaisella kulmalla. <a href=\"https:\/\/vibromera.eu\/fi\/calculators\/influence-coefficient-calculator\/\">Vaikutuskertoimen laskin<\/a> automatisoi t\u00e4m\u00e4n yksitasoisen tapauksen.<\/p>\n<h3>Korjauspainon m\u00e4\u00e4ritt\u00e4minen<\/h3>\n<p>Korjauspainovektori on alkuper\u00e4isen v\u00e4r\u00e4htelyn negatiivinen vastine (180 asteen vaihesiirto), jaettuna vaikutuskertoimella. T\u00e4ll\u00e4 tavalla mitoitettuna sen vaikutus \u2013 kun se lis\u00e4t\u00e4\u00e4n vektorimaisesti takaisin alkuper\u00e4iseen ep\u00e4tasapainoon \u2013 kumoaa sen ja johtaa v\u00e4r\u00e4htelyn kohti nollaa.<\/p>\n<h3>Lopullisen t\u00e4rin\u00e4n ennustaminen<\/h3>\n<p>Kun korjaus on tehty, odotettavissa oleva <a href=\"https:\/\/vibromera.eu\/fi\/glossary\/residual-unbalance\/\">j\u00e4\u00e4nn\u00f6sv\u00e4r\u00e4htely<\/a> voidaan ennustaa lis\u00e4\u00e4m\u00e4ll\u00e4 alkuper\u00e4inen v\u00e4r\u00e4htelyvektori laskettuun korjausvaikutukseen. T\u00e4m\u00e4n ennusteen vertaaminen mitattuun tulokseen on tehokas tapa tarkistaa koko ty\u00f6n laatu.<\/p>\n<h2>5. Vektorien v\u00e4hennyslasku<\/h2>\n<p>Vektorien v\u00e4hennyslasku ei ole muuta kuin vektorien yhteenlasku, jossa toinen vektori on k\u00e4\u00e4nnetty ymp\u00e4ri (k\u00e4\u00e4nnetty 180\u00b0). Vektorin B v\u00e4hent\u00e4minen vektorista A:<\/p>\n<ul>\n<li>K\u00e4\u00e4nn\u00e4 B:t\u00e4 180 astetta \u2014 tai suorakulmaisessa muodossa riitt\u00e4\u00e4, ett\u00e4 k\u00e4\u00e4nn\u00e4t sen molemmat osat p\u00e4invastaisiksi.<\/li>\n<li>Laske k\u00e4\u00e4nteinen B yhteen A:n kanssa tavallisella vektorien yhteenlaskulla.<\/li>\n<\/ul>\n<p>Kuten edell\u00e4 todettiin, t\u00e4m\u00e4 on operaatio, jolla eristet\u00e4\u00e4n koepainon vaikutus, T = (O+T) \u2212 O, jossa O on alkuper\u00e4inen v\u00e4r\u00e4htely ja (O+T) on lukema koepainon ollessa paikallaan.<\/p>\n<h2>6. Yleisi\u00e4 virheit\u00e4 ja v\u00e4\u00e4rink\u00e4sityksi\u00e4<\/h2>\n<p>Suurin osa vektorimatematiikasta johtuvista tasapainotusvirheist\u00e4 lankeaa kolmeen ansaan:<\/p>\n<ul>\n<li><strong>Amplitudien laskeminen suoraan yhteen:<\/strong> Jos 3 mm\/s + 4 mm\/s lasketaan yhteen 7 mm\/s:ksi, vaihe j\u00e4tet\u00e4\u00e4n kokonaan huomiotta; kuten esimerkiss\u00e4 osoitettiin, oikea tulos riippuu niiden v\u00e4lisest\u00e4 kulmasta.<\/li>\n<li><strong>Vaihetietojen huomiotta j\u00e4tt\u00e4minen:<\/strong> Yritt\u00e4ess\u00e4 tasapainottaa pelk\u00e4st\u00e4\u00e4n amplitudin perusteella ilman vaiheviitett\u00e4 ei l\u00e4hes koskaan p\u00e4\u00e4st\u00e4 hyv\u00e4\u00e4n tulokseen.<\/li>\n<li><strong>Ep\u00e4johdonmukainen kulman merkint\u00e4tapa:<\/strong> Jos my\u00f6t\u00e4- ja vastap\u00e4iv\u00e4\u00e4n py\u00f6rimissuunnan merkint\u00e4tapoja sekoitetaan tai mittaus tehd\u00e4\u00e4n v\u00e4\u00e4r\u00e4st\u00e4 vertailupisteest\u00e4, korjauspainot sijoittuvat roottorilla v\u00e4\u00e4r\u00e4\u00e4n kohtaan.<\/li>\n<\/ul>\n<h2>7. Nykyaikaiset mittalaitteet hoitavat vektorimatematiikan<\/h2>\n<p>Vaikka matematiikan hallinta on v\u00e4ltt\u00e4m\u00e4t\u00f6nt\u00e4 kaikille tasapainotusammattilaisille, itse laskelmat hoitaa nyky\u00e4\u00e4n laite automaattisesti. Kannettava analysaattori, kuten <a href=\"https:\/\/vibromera.eu\/fi\/tuote\/balanset-1\/\">Balanset-1A<\/a> ker\u00e4\u00e4 amplitudin ja vaiheen molemmilta kanavilta, suorittaa kaikki vektorien yhteenlaskut, v\u00e4hennyslaskut ja jakolaskut sis\u00e4isesti, esitt\u00e4\u00e4 tulokset numeerisesti ja graafisesti polaarikaavioissa sek\u00e4 ilmoittaa lopullisen korjauspainon ja kulmasijainnin valmiina sovitettavaksi. Silti taustalla oleva teoria on edelleen t\u00e4rke\u00e4: insin\u00f6\u00f6ri, joka ymm\u00e4rt\u00e4\u00e4 sen, voi tarkistaa laitteen tulokset, diagnosoida poikkeamia, kun tulos n\u00e4ytt\u00e4\u00e4 virheelliselt\u00e4, ja ymm\u00e4rt\u00e4\u00e4, miksi tietyt tasapainotusstrategiat suppenevat nopeammin.<\/p>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/fi\/glossary\/\">\u2190 Takaisin p\u00e4\u00e4hakemistoon<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Opi vektorien yhteenlaskua, tasapainotuksessa k\u00e4ytetty\u00e4 matemaattista menetelm\u00e4\u00e4, jolla yhdistet\u00e4\u00e4n sek\u00e4 amplitudin ett\u00e4 vaiheen v\u00e4r\u00e4htelyvektoreita. T\u00e4m\u00e4 on olennaista korjauspainojen laskemiseksi tarkasti.<\/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\/fi\/wp-json\/wp\/v2\/glossary\/294","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/fi\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/fi\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":4,"href":"https:\/\/vibromera.eu\/fi\/wp-json\/wp\/v2\/glossary\/294\/revisions"}],"predecessor-version":[{"id":102810,"href":"https:\/\/vibromera.eu\/fi\/wp-json\/wp\/v2\/glossary\/294\/revisions\/102810"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/fi\/wp-json\/wp\/v2\/media?parent=294"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/fi\/wp-json\/wp\/v2\/categories?post=294"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/fi\/wp-json\/wp\/v2\/tags?post=294"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}