{"id":1288,"date":"2021-09-09T22:10:45","date_gmt":"2021-09-09T22:10:45","guid":{"rendered":"https:\/\/blog.metu.edu.tr\/eresmech\/?page_id=1288"},"modified":"2021-09-29T19:49:35","modified_gmt":"2021-09-29T19:49:35","slug":"5-1","status":"publish","type":"page","link":"https:\/\/blog.metu.edu.tr\/eresmech\/mekanizma-teknigi\/ch5\/5-1\/","title":{"rendered":"5-1"},"content":{"rendered":"<div id=\"pl-gb1288-69d8905ae3837\"  class=\"panel-layout\" ><div id=\"pg-gb1288-69d8905ae3837-0\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-gb1288-69d8905ae3837-0-0\"  class=\"panel-grid-cell\" ><div id=\"panel-gb1288-69d8905ae3837-0-0-0\" class=\"so-panel widget widget_sow-editor panel-first-child panel-last-child widgetopts-SO\" data-index=\"0\" ><div\n\t\t\t\n\t\t\tclass=\"so-widget-sow-editor so-widget-sow-editor-base\"\n\t\t\t\n\t\t>\n<div class=\"siteorigin-widget-tinymce textwidget\">\n\t<h1>5.1 Mekanizmalarda Ani D\u00f6nme Merkezlerinin Bulunmas\u0131<\/h1>\n<p>Bir rijit cisim sabit bir eksen etraf\u0131nda d\u00f6n\u00fcyor ise, ani d\u00f6nme merkezi bu eksenin merkezi ile \u00e7ak\u0131\u015f\u0131r ve bu nokta s\u00fcrekli olarak ayn\u0131d\u0131r (s\u00fcrekli d\u00f6nme merkezidir). Cisim \u00f6teleme yap\u0131yor ise, ani d\u00f6nme merkezi \u00f6teleme eksenine dik y\u00f6nde sonsuzdad\u0131r. Bu \u015fekilde her t\u00fcrl\u00fc d\u00fczlemsel hareket h\u0131z analizi a\u00e7\u0131s\u0131ndan anl\u0131k bir d\u00f6nme olarak incelenebilecektir.<\/p>\n<p>Dikkat edilmesi gereken bir ba\u015fka nokta ise, bir cismin hareketi bir referans eksenine g\u00f6re incelenece\u011fidir. Bu referans ekseni bir sabit cisim \u00fczerinde olabilece\u011fi gibi hareketli bir cismin \u00fczerinde de bulunabilir. Bu nedenle e\u011fer d\u00fczlemsel hareket sabit bir referans eksenine g\u00f6re ise, bu durumda <span style=\"color: #cc0000\">mutlak ani d\u00f6nme merkezi<\/span>, referans ekseni hareketli bir d\u00fczlem \u00fczerinde ise\u00a0<span style=\"color: #cc0000\">ba\u011f\u0131l ani d\u00f6nme merkezi<\/span> denecektir. Yukar\u0131da var\u0131lm\u0131\u015f olan sonu\u00e7lar mutlak ani d\u00f6nme merkezi i\u00e7indir. \u00d6rne\u011fin ba\u011f\u0131l ani d\u00f6nme merkezi durumunda o noktan\u0131n h\u0131z\u0131n\u0131n s\u0131f\u0131r oldu\u011funu s\u00f6ylemek m\u00fcmk\u00fcn de\u011fildir. Ancak ba\u011f\u0131l ani d\u00f6nme merkezinde \u00e7ak\u0131\u015fan referans ekseninin bulundu\u011fu d\u00fczlem \u00fczerindeki nokta ile hareketini inceledi\u011fimiz cisim \u00fczerinde bulunan noktalar\u0131n aras\u0131nda ba\u011f\u0131l h\u0131z s\u0131f\u0131r olacakt\u0131r. Bu nokta g\u00f6z \u00f6n\u00fcne al\u0131narak ani d\u00f6nme merkezi \u015fu \u015fekilde tan\u0131mlan\u0131r: D\u00fczlemsel hareket yapan iki farkl\u0131 cisim \u00fczerinde bulunan birbirlerine g\u00f6re ba\u011f\u0131l h\u0131zlar\u0131 s\u0131f\u0131r olan anl\u0131k \u00e7ak\u0131\u015fan iki nokta\u00a0<span style=\"color: #cc0000\"><strong>ani d\u00f6nme merkezi<\/strong><\/span>dir. Bu durumda <em>l<\/em> uzuvlu bir mekanizmada o an i\u00e7in her iki uzuv aras\u0131nda bir ani d\u00f6nme merkezi olaca\u011f\u0131na g\u00f6re (<em>l<\/em> nesne iki\u015fer iki\u015fer al\u0131n\u0131yor), ani d\u00f6nme merkezi say\u0131s\u0131:<\/p>\n<p style=\"text-align: center\">N = <em>l<\/em>(<em>l<\/em> \u2212 1)\/2<\/p>\n<p>olacakt\u0131r. Mekanizmalar i\u00e7in cisimlerimiz uzuvlar oldu\u011fundan ve ani d\u00f6nme merkezi iki uzuv aras\u0131nda anl\u0131k \u00e7ak\u0131\u015fan bir nokta olaca\u011f\u0131ndan, ani d\u00f6nme merkezlerini I<sub>ij<\/sub>\u00a0olarak g\u00f6sterelim. Burada i ve j o ani d\u00f6nme merkezi ile ilgili iki uzvun numaras\u0131d\u0131r (I<sub>ij<\/sub> = I<sub>ji<\/sub>\u00a0olup indis s\u0131ral\u0131 de\u011fildir).<\/p>\n<p style=\"text-align: center\"><div class=\"su-image-carousel  su-image-carousel-has-spacing su-image-carousel-has-lightbox su-image-carousel-has-outline su-image-carousel-adaptive su-image-carousel-slides-style-default su-image-carousel-controls-style-dark su-image-carousel-align-center\" style=\"max-width:550px\" data-flickity-options='{\"groupCells\":true,\"cellSelector\":\".su-image-carousel-item\",\"adaptiveHeight\":true,\"cellAlign\":\"left\",\"prevNextButtons\":true,\"pageDots\":false,\"autoPlay\":false,\"imagesLoaded\":true,\"contain\":false,\"selectedAttraction\":1,\"friction\":1}' id=\"su_image_carousel_69d8905ae5038\"><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstFourbar1.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstFourbar1.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstFourbar2.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstFourbar2.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstFourbar3.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstFourbar3.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstFourbar4.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstFourbar4.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstFourbar5.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstFourbar5.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstFourbar6.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstFourbar6.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><\/div><script id=\"su_image_carousel_69d8905ae5038_script\">if(window.SUImageCarousel){setTimeout(function() {window.SUImageCarousel.initGallery(document.getElementById(\"su_image_carousel_69d8905ae5038\"))}, 0);}var su_image_carousel_69d8905ae5038_script=document.getElementById(\"su_image_carousel_69d8905ae5038_script\");if(su_image_carousel_69d8905ae5038_script){su_image_carousel_69d8905ae5038_script.parentNode.removeChild(su_image_carousel_69d8905ae5038_script);}<\/script><\/p>\n<p><strong><span style=\"color: #cc0000\">Aranhold-Kennedy Teoremi:<\/span><\/strong><\/p>\n<p><i>D\u00fczlemsel hareket halinde \u00fc\u00e7 cismin birbirlerine g\u00f6re ani d\u00f6nme merkezleri daima bir do\u011fru \u00fczerindedir.<\/i><\/p>\n<p style=\"text-align: center\"><div class=\"su-image-carousel  su-image-carousel-has-spacing su-image-carousel-has-lightbox su-image-carousel-has-outline su-image-carousel-adaptive su-image-carousel-slides-style-default su-image-carousel-controls-style-dark su-image-carousel-align-center\" style=\"max-width:550px\" data-flickity-options='{\"groupCells\":true,\"cellSelector\":\".su-image-carousel-item\",\"adaptiveHeight\":true,\"cellAlign\":\"left\",\"prevNextButtons\":true,\"pageDots\":false,\"autoPlay\":false,\"imagesLoaded\":true,\"contain\":false,\"selectedAttraction\":1,\"friction\":1}' id=\"su_image_carousel_69d8905ae5cf4\"><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstKrankBiyel1.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstKrankBiyel1.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstKrankBiyel2.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstKrankBiyel2.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstKrankBiyel3.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstKrankBiyel3.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstKrankBiyel4.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstKrankBiyel4.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstKrankBiyel5.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstKrankBiyel5.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstKrankBiyel6.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstKrankBiyel6.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><\/div><script id=\"su_image_carousel_69d8905ae5cf4_script\">if(window.SUImageCarousel){setTimeout(function() {window.SUImageCarousel.initGallery(document.getElementById(\"su_image_carousel_69d8905ae5cf4\"))}, 0);}var su_image_carousel_69d8905ae5cf4_script=document.getElementById(\"su_image_carousel_69d8905ae5cf4_script\");if(su_image_carousel_69d8905ae5cf4_script){su_image_carousel_69d8905ae5cf4_script.parentNode.removeChild(su_image_carousel_69d8905ae5cf4_script);}<\/script><\/p>\n<p align=\"center\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1314 aligncenter\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/img1-13.gif\" alt=\"\" width=\"462\" height=\"221\" \/><\/p>\n<p>Bir farkl\u0131 \u00f6rnek olarak da yukar\u0131da de g\u00f6sterilen kam mekanizmas\u0131n\u0131 ele ald\u0131\u011f\u0131m\u0131zda, I<sub>12<\/sub>\u00a0ve I<sub>13<\/sub>\u00a0ani d\u00f6nme merkezleri d\u00f6ner mafsal merkezlerindedir. I<sub>23<\/sub>\u00a0ani d\u00f6nme merkezi Aranhold-Kennedy teoremine g\u00f6re I<sub>12<\/sub>I<sub>13<\/sub>\u00a0do\u011frusunun \u00fczerinde olmas\u0131 gereklidir. Bir ba\u015fka do\u011fru ise 3 uzvunun 2 uzvuna g\u00f6re hareketi incelendi\u011finde bu ba\u011f\u0131l hareketin d\u00f6nme merkezi mutlaka temas noktas\u0131nda temas eden e\u011frilerin ortak te\u011fetine dik olmas\u0131 \u015fart\u0131ndan elde edilecektir. \u00d6yle ise I<sub>23<\/sub>\u00a0ani d\u00f6nme merkezi I<sub>12<\/sub>I<sub>13<\/sub>\u00a0do\u011frusu ile temas y\u00fczeyine dik do\u011frunun kesim noktas\u0131d\u0131r.<\/p>\n<p>Bu \u00e7\u00f6z\u00fcm\u00fcn AutoCad k\u00fct\u00fc\u011f\u00fc i\u00e7in <a href=\"https:\/\/ocw.metu.edu.tr\/pluginfile.php\/1845\/mod_resource\/content\/1\/ch5\/sec1\/Instsixlink.dwg\">buray\u0131<\/a>\u00a0t\u0131klay\u0131n\u0131z.<\/p>\n<p style=\"text-align: center\"><div class=\"su-image-carousel  su-image-carousel-has-spacing su-image-carousel-has-lightbox su-image-carousel-has-outline su-image-carousel-adaptive su-image-carousel-slides-style-default su-image-carousel-controls-style-dark su-image-carousel-align-center\" style=\"max-width:550px\" data-flickity-options='{\"groupCells\":true,\"cellSelector\":\".su-image-carousel-item\",\"adaptiveHeight\":true,\"cellAlign\":\"left\",\"prevNextButtons\":true,\"pageDots\":false,\"autoPlay\":false,\"imagesLoaded\":true,\"contain\":false,\"selectedAttraction\":1,\"friction\":1}' id=\"su_image_carousel_69d8905ae6a43\"><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstSixlink_1.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstSixlink_1.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstSixlink_2.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstSixlink_2.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstSixlink_3.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstSixlink_3.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstSixlink_4.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstSixlink_4.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstSixlink_5.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstSixlink_5.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstSixlink_6.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstSixlink_6.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><div class=\"su-image-carousel-item\"><div class=\"su-image-carousel-item-content\"><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstSixlink_7.gif\" target=\"_blank\" rel=\"noopener noreferrer\" data-caption=\"\"><img loading=\"lazy\" decoding=\"async\" width=\"550\" height=\"400\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/InstSixlink_7.gif\" class=\"\" alt=\"\" \/><\/a><\/div><\/div><\/div><script id=\"su_image_carousel_69d8905ae6a43_script\">if(window.SUImageCarousel){setTimeout(function() {window.SUImageCarousel.initGallery(document.getElementById(\"su_image_carousel_69d8905ae6a43\"))}, 0);}var su_image_carousel_69d8905ae6a43_script=document.getElementById(\"su_image_carousel_69d8905ae6a43_script\");if(su_image_carousel_69d8905ae6a43_script){su_image_carousel_69d8905ae6a43_script.parentNode.removeChild(su_image_carousel_69d8905ae6a43_script);}<\/script><\/p>\n<p>\u0130kinci bir \u00f6rnek olarak a\u015fa\u011f\u0131da 6 uzuvlu bir mekanizma g\u00f6sterilmi\u015ftir. Ani d\u00f6nme merkezi say\u0131s\u0131 N = 6\u00d75\/2 = 15 olacakt\u0131r. Sistematik bir \u015fekilde probleme yakla\u015fmak i\u00e7in ilk olarak mafsal eksenleri olan mutlak ani d\u00f6nme merkezleri olarak belirlenir (kayar mafsallarda bu kayma eksenine dik ve sonsuzda bir noktad\u0131r). Bundan sonra her bir uzvu bir nokta ile g\u00f6steren bir diyagram \u00e7izilir. \u0130ki uzuv aras\u0131nda bulunan ani d\u00f6nme merkezi belirli ise bu diyagramda iki uzvu g\u00f6steren noktalar bir do\u011fru ile ba\u011flan\u0131r. E\u011fer t\u00fcm noktalar birbirleri ile ba\u011flanm\u0131\u015f ise t\u00fcm ani d\u00f6nme merkezleri belirlenmi\u015f olacakt\u0131r. \u015eekil I-a&#8217;da diyagram \u00fczerinde s\u00fcrekli d\u00f6nme merkezleri i\u015faretlenmi\u015ftir (yedi mafsal ile yedi d\u00f6nme merkezi belirlidir). Bu diyagram ve mekanizma \u015feklini kullanarak ve Aranhold-Kennedy teoremi yard\u0131m\u0131 ile I<sub>ij<\/sub> ani d\u00f6nme merkezini bulmak i\u00e7in e\u011fer i ve j uzuvlar\u0131 ile birlikte I<sub>pi<\/sub>I<sub>pj<\/sub>\u00a0ile I<sub>qi<\/sub>I<sub>qj<\/sub>\u00a0ani d\u00f6nme merkezlerini bildi\u011fimiz p ve q uzuvlar\u0131n\u0131 bilir isek I<sub>pi<\/sub>I<sub>pj<\/sub>\u00a0do\u011frusu ile I<sub>qi<\/sub>I<sub>qj<\/sub>\u00a0do\u011frusunun kesi\u015fti\u011fi nokta I<sub>ij<\/sub> ani d\u00f6nme merkezini belirleyecektir. Diyagramda ise i, j ,p noktalar\u0131 ile i, j, q noktalar\u0131 iki farkl\u0131 \u00fc\u00e7gen olu\u015fturmakta ve bu \u00fc\u00e7gende ij kenar\u0131 ortak kenar olmaktad\u0131r. \u00d6yle ise diyagramda ij do\u011frusunu \u00e7izdi\u011fimizde iki \u00fc\u00e7gen olu\u015fturabilir isek, bu \u00fc\u00e7genlerin di\u011fer kenarlar\u0131 ile belirlenen ani d\u00f6nme merkezlerini birle\u015ftiren do\u011frular\u0131n kesi\u015fme noktas\u0131 bize I<sub>ij<\/sub> ani d\u00f6nme merkezinin yerini belirleyecektir. \u015eekil I-b&#8217;de I<sub>24<\/sub>\u00a0ani d\u00f6nme merkezini g\u00f6steren 2-4 do\u011frusunu \u00e7izdi\u011fimizde (kesik \u00e7izgi) 124 ve 234 \u00fc\u00e7genleri olu\u015fmaktad\u0131r. Bu \u00fc\u00e7genlerin di\u011fer iki kenarlar\u0131 ile belirlenen ani d\u00f6nme merkezlerini birle\u015ftiren do\u011frular (I<sub>12<\/sub>I<sub>14<\/sub>\u00a0ile I<sub>23<\/sub>I<sub>34<\/sub>) I<sub>24<\/sub>\u00a0de kesi\u015firler.<\/p>\n<p>\u0130\u015flem bu \u015fekilde tekrarland\u0131\u011f\u0131nda, mafsallar ile belirlenen d\u00f6nme merkezleri kullan\u0131larak s\u0131ra ile di\u011fer t\u00fcm ani d\u00f6nme merkezleri belirlenebilir (\u015eekil I-c).<\/p>\n<p>Baz\u0131 ani d\u00f6nme merkezlerinin uzak noktalarda olmas\u0131 bilgisayar ortam\u0131nda \u00e7izim yap\u0131ld\u0131\u011f\u0131nda bir sorun yaratmayacakt\u0131r (\u015eekil de I<sub>46<\/sub>\u00a0ve I<sub>36<\/sub>\u00a0ani d\u00f6nme merkezleri uzak noktalardad\u0131r). Baz\u0131 durumlarda bir ani d\u00f6nme merkezi bilinen ani d\u00f6nme merkezleri ile hemen belirlenemez. \u0130stenilen ani d\u00f6nme merkezini belirlemek i\u00e7in ba\u015fka ani d\u00f6nme merkezlerini bulmam\u0131z gerekebilir. \u0130leride g\u00f6rece\u011fimiz gibi, t\u00fcm ani d\u00f6nme merkezlerini bulmam\u0131za gerek yoktur. Sadece kullanmam\u0131z gereken ani d\u00f6nme merkezlerini belirlemek yeterlidir.<\/p>\n<p align=\"center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1315\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/img2-13.gif\" alt=\"\" width=\"1125\" height=\"641\" \/><\/p>\n<p style=\"text-align: center\" align=\"center\">6 Uzuvlu Mekanizma<\/p>\n<p>Bu \u00f6rne\u011fin \u00e7izim k\u00fct\u00fc\u011f\u00fc i\u00e7in\u00a0<a href=\"https:\/\/ocw.metu.edu.tr\/pluginfile.php\/1845\/mod_resource\/content\/1\/ch5\/sec1\/instsixlink2.dwg\">t\u0131klay\u0131n<\/a>.<\/p>\n<p align=\"center\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1316 aligncenter\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/img3-10.gif\" alt=\"\" width=\"860\" height=\"447\" \/><\/p>\n<p style=\"text-align: center\" align=\"center\">\u015eekil I Ani d\u00f6nme merkezleri diyagram\u0131<\/p>\n<\/div>\n<\/div><\/div><\/div><\/div><\/div>\n\n\n<p> <a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/mekanizma-teknigi\/ch5\/5-0\/\" data-type=\"page\"><img loading=\"lazy\" decoding=\"async\" width=\"38\" height=\"38\" class=\"wp-image-16\" style=\"width: 38px\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/04\/back_button.gif\" alt=\"\"><\/a><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/mekanizma-teknigi\/ch5\/\" data-type=\"page\" data-id=\"52\"><img loading=\"lazy\" decoding=\"async\" width=\"38\" height=\"38\" class=\"wp-image-17\" style=\"width: 38px\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/04\/contents_button.gif\" alt=\"\"><\/a><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/mekanizma-teknigi\/\" data-type=\"page\" data-id=\"47\"><img loading=\"lazy\" decoding=\"async\" width=\"38\" height=\"38\" class=\"wp-image-18\" style=\"width: 38px\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/04\/home_button.gif\" alt=\"\"><\/a><a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/mekanizma-teknigi\/ch5\/5-2\/\" data-type=\"page\" data-id=\"92\"><img loading=\"lazy\" decoding=\"async\" width=\"38\" height=\"38\" class=\"wp-image-20\" style=\"width: 38px\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/04\/next_button.gif\" alt=\"\"><\/a><img loading=\"lazy\" decoding=\"async\" width=\"119\" height=\"40\" class=\"wp-image-15\" style=\"width: 119px\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/04\/ceres.gif\" alt=\"\">        <\/p>\n","protected":false},"excerpt":{"rendered":"<p>5.1 Mekanizmalarda Ani D\u00f6nme Merkezlerinin Bulunmas\u0131 Bir rijit cisim sabit bir eksen etraf\u0131nda d\u00f6n\u00fcyor ise, ani d\u00f6nme merkezi bu eksenin merkezi ile \u00e7ak\u0131\u015f\u0131r ve bu nokta s\u00fcrekli olarak ayn\u0131d\u0131r (s\u00fcrekli d\u00f6nme merkezidir). Cisim \u00f6teleme yap\u0131yor ise, ani d\u00f6nme merkezi \u00f6teleme &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/blog.metu.edu.tr\/eresmech\/mekanizma-teknigi\/ch5\/5-1\/\"> <span class=\"screen-reader-text\">5-1<\/span> Devam\u0131n\u0131 Oku &raquo;<\/a><\/p>\n","protected":false},"author":7747,"featured_media":0,"parent":1285,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-1288","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blog.metu.edu.tr\/eresmech\/wp-json\/wp\/v2\/pages\/1288","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.metu.edu.tr\/eresmech\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blog.metu.edu.tr\/eresmech\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/eresmech\/wp-json\/wp\/v2\/users\/7747"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/eresmech\/wp-json\/wp\/v2\/comments?post=1288"}],"version-history":[{"count":0,"href":"https:\/\/blog.metu.edu.tr\/eresmech\/wp-json\/wp\/v2\/pages\/1288\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/eresmech\/wp-json\/wp\/v2\/pages\/1285"}],"wp:attachment":[{"href":"https:\/\/blog.metu.edu.tr\/eresmech\/wp-json\/wp\/v2\/media?parent=1288"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}