{"id":1033,"date":"2021-09-09T13:34:44","date_gmt":"2021-09-09T13:34:44","guid":{"rendered":"https:\/\/blog.metu.edu.tr\/eresmech\/?page_id=1033"},"modified":"2021-10-08T14:06:05","modified_gmt":"2021-10-08T14:06:05","slug":"4-2-3","status":"publish","type":"page","link":"https:\/\/blog.metu.edu.tr\/eresmech\/mekanizma-teknigi\/ch4\/4-2-3\/","title":{"rendered":"4-2-3"},"content":{"rendered":"<div id=\"pl-gb1033-69d746bbc347d\"  class=\"panel-layout\" ><div id=\"pg-gb1033-69d746bbc347d-0\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-gb1033-69d746bbc347d-0-0\"  class=\"panel-grid-cell\" ><div id=\"panel-gb1033-69d746bbc347d-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><b>4.2<\/b> Mekanizmalarda H\u0131z ve \u0130vme Analizi -3<\/h1>\n<p><strong>\u00d6rnek:<\/strong><\/p>\n<p>\u015eekilde g\u00f6sterilen mekanizmada pistonun (2 uzvu) yukar\u0131ya do\u011fru sabit h\u0131z\u0131 v<sub>B<\/sub> = v<sub>2\/1<\/sub> = 180 mm\/s dir. D noktas\u0131n\u0131n h\u0131z ve ivmesini bulmam\u0131z istenmektedir. A\u015fa\u011f\u0131da Excel programlar\u0131 kullan\u0131larak say\u0131sal \u00e7\u00f6z\u00fcm g\u00f6sterilmektedir. Devre denklemlerinden elde edilen bu denklemlerin \u00e7\u0131kar\u0131l\u0131\u015f\u0131 okuyucuya b\u0131rak\u0131lm\u0131\u015ft\u0131r.<\/p>\n<p align=\"center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1233\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/img233-1.gif\" alt=\"\" width=\"570\" height=\"476\" \/><\/p>\n<p>Konum analizi i\u00e7in gerekli olan denklemler:<\/p>\n<p style=\"text-align: center\">s<sub>34<\/sub> = <span class=\"katex-eq\" data-katex-display=\"false\"> \\displaystyle \\sqrt{{{{{\\left( {{{\\text{b}}_{1}}-{{\\text{s}}_{{12}}}} \\right)}}^{2}}+{{\\text{a}}_{1}}^{2}+{{\\text{a}}_{3}}^{2}}} <\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u03b3 = tan<sup>-1<\/sup>(s<sub>34<\/sub>\/a<sub>3<\/sub>)<\/p>\n<p style=\"text-align: center\">\u03d5\u00a0= tan<sup>-1<\/sup>[a<sub>1<\/sub>\/(b<sub>1<\/sub> \u2212 s<sub>12<\/sub>)]\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u03b8<sub>14<\/sub> = \u03d5 \u2212 \u03b3<\/p>\n<p>\u015eekilde \u03b8<sub>14<\/sub> a\u00e7\u0131s\u0131 g\u00f6sterilmi\u015fdir. \u03d5 ve \u03b3 a\u00e7\u0131lar\u0131 bulunurken ATAN2() fonksiyonunun kullan\u0131lmas\u0131 do\u011fru olacakt\u0131r. Karma\u015f\u0131k say\u0131 ile D noktas\u0131n\u0131n konum vekt\u00f6r\u00fc (A<sub>0<\/sub> merkezli ve x ekseni yatay olan bir referans koordinat ekseni kullan\u0131lm\u0131\u015ft\u0131r):<\/p>\n<p style=\"text-align: center\"><strong>r<\/strong><sub>D<\/sub> = (\u2212s<sub>34<\/sub> \u2212 c<sub>3<\/sub> + ib<sub>3<\/sub>)e<sup>i\u03b8<sub>14<\/sub><\/sup><\/p>\n<p>Reel say\u0131lar\u0131n kullan\u0131lmas\u0131 durumunda D noktas\u0131 koordinatlar\u0131 (<strong>r<\/strong><sub>D<\/sub>\u00a0= x<sub>D<\/sub> + iy<sub>D<\/sub>):<\/p>\n<p style=\"text-align: center\">x<sub>D<\/sub> = \u2212(s<sub>34<\/sub>\u00a0+ c<sub>3<\/sub>)cos\u03b8<sub>14<\/sub> \u2212 b<sub>3<\/sub>sin\u03b8<sub>14<\/sub><\/p>\n<p style=\"text-align: center\">y<sub>D<\/sub> = \u2212(s<sub>34<\/sub>\u00a0+ c<sub>3<\/sub>)sin\u03b8<sub>14<\/sub>\u00a0+ b<sub>3<\/sub>cos\u03b8<sub>14<\/sub><\/p>\n<p>H\u0131z analizi s\u0131ras\u0131nda 2 uzvunun 180 mm\/s h\u0131zla yukar\u0131ya do\u011fru hareket etti\u011fi kabul edilmi\u015ftir (v<sub>12<\/sub> = 180 mm\/s). H\u0131z denklemleri:<\/p>\n<p style=\"text-align: center\">\u03c9<sub>14<\/sub>\u00a0= \u2212(v<sub>12<\/sub>\/s<sub>34<\/sub>)cos\u03b8<sub>14<\/sub>\u00a0 \u00a0 \u00a0,\u00a0 \u00a0 v<sub>34<\/sub> = <span class=\"katex-eq\" data-katex-display=\"false\"> \\displaystyle {\\dot{\\text{s}}} <\/span><sub>34<\/sub> = \u2212(v<sub>12<\/sub>\/s<sub>34<\/sub>)(a<sub>3<\/sub>cos\u03b8<sub>14<\/sub> + s<sub>34<\/sub>sin\u03b8<sub>14<\/sub>)<\/p>\n<p>D noktas\u0131n\u0131n x ve y y\u00f6n\u00fcnde h\u0131z bile\u015fenleri:<\/p>\n<p style=\"text-align: center\">v<sub>Dx<\/sub> = \u2212y<sub>D<\/sub>\u03c9<sub>14<\/sub> \u2212 v<sub>34<\/sub>cos\u03b8<sub>14<\/sub>\u00a0 \u00a0 \u00a0,\u00a0\u00a0\u00a0\u00a0\u00a0v<sub>Dy<\/sub> = x<sub>D<\/sub>\u03c9<sub>14<\/sub> \u2212 v<sub>34<\/sub>sin\u03b8<sub>14<\/sub><\/p>\n<p>Yukar\u0131da g\u00f6sterilmi\u015f olan bile\u015fenler D noktas\u0131n\u0131n h\u0131z\u0131n\u0131 karma\u015f\u0131k say\u0131larla yazd\u0131\u011f\u0131m\u0131zda (<strong>v<\/strong><sub>D<\/sub>\u00a0=\u00a0v<sub>Dx<\/sub>\u00a0+ iv<sub>Dy<\/sub>):<\/p>\n<p style=\"text-align: center\"><strong>v<\/strong><sub>D<\/sub> = (\u2212s<sub>34<\/sub> \u2212 c<sub>3<\/sub> + ib<sub>3<\/sub>)i\u03c9<sub>14<\/sub>e<sup>i\u03b8<sub>14<\/sub><\/sup> \u2212 v<sub>34<\/sub>e<sup>i\u03b8<sub>14<\/sub><\/sup><\/p>\n<p>Bu denklemin reel ve sanal k\u0131s\u0131mlar\u0131 ayr\u0131, ayr\u0131 x ve y y\u00f6n\u00fcnde h\u0131z bile\u015fenlerini verir.<\/p>\n<p>2 pistonunun sabit h\u0131zda hareket etti\u011fi d\u00fc\u015f\u00fcn\u00fclerek ivme analizi yap\u0131ld\u0131\u011f\u0131nda elde edilen gerekli denklemler:<\/p>\n<p style=\"text-align: center\">\u03b1<sub>14<\/sub> = (v<sub>12<\/sub>\/s<sub>34<\/sub><sup>2<\/sup>)(\u03c9<sub>14<\/sub>s<sub>34<\/sub>sin\u03b8<sub>14<\/sub> + v<sub>34<\/sub>cos\u03b8<sub>14<\/sub>)<\/p>\n<p style=\"text-align: center\">a<sub>34<\/sub> = <span class=\"katex-eq\" data-katex-display=\"false\"> \\displaystyle {\\ddot{\\text{s}}} <\/span><sub>34<\/sub>\u00a0= (v<sub>12<\/sub>\/s<sub>34<\/sub><sup>2<\/sup>)[(a<sub>3<\/sub>\u03c9<sub>14<\/sub> \u2212 v<sub>34<\/sub>)sin\u03b8<sub>14<\/sub> \u2212 \u03c9<sub>14<\/sub>s<sub>34<\/sub>cos\u03b8<sub>14<\/sub>]\n<p>D noktas\u0131n\u0131n x ve y y\u00f6n\u00fcnde ivme bile\u015fenleri:<\/p>\n<p style=\"text-align: center\">a<sub>Dx<\/sub> = \u2212x<sub>D<\/sub>\u03c9<sub>1<\/sub><sub>4<\/sub><sup>2<\/sup> \u2212 y<sub>D<\/sub>\u03b1<sub>14<\/sub> + 2v<sub>34<\/sub>\u03c9<sub>14<\/sub>sin\u03b8<sub>14<\/sub> \u2212 a<sub>34<\/sub>cos\u03b8<sub>14<\/sub><\/p>\n<p style=\"text-align: center\">a<sub>Dy<\/sub> = \u2212y<sub>D<\/sub>\u03c9<sub>1<\/sub><sub>4<\/sub><sup>2<\/sup> + x<sub>D<\/sub>\u03b1<sub>14<\/sub> + 2v<sub>34<\/sub>\u03c9<sub>14<\/sub>cos\u03b8<sub>14<\/sub> \u2212 a<sub>34<\/sub>sin\u03b8<sub>14<\/sub><\/p>\n<p>Denklemler Excel paket program\u0131 kullan\u0131larak 60 mm &lt; s &lt; 500 mm aral\u0131\u011f\u0131nda her 10 mm i\u00e7in hesap edilerek \u015fekilde g\u00f6sterilen D noktas\u0131n\u0131n konumu h\u0131z\u0131 ve ivmesi elde edilmi\u015ftir. Bu \u015fekilde, konum h\u0131z ve ivme vekt\u00f6rleri (0, 0) noktas\u0131ndan ilgili e\u011fri \u00fczerinde bulunan noktaya giden vekt\u00f6rd\u00fcr. Yatay ve dikey eksenler konum i\u00e7in mm, h\u0131z i\u00e7in mm\/s, ivme i\u00e7in ise mm\/s<sup>2<\/sup> dir. \u00d6rne\u011fin de\u011fer olarak s<sub>12<\/sub>\u00a0= 60 mm iken:<\/p>\n<table border=\"0\" width=\"100%\">\n<tbody>\n<tr>\n<td>s<sub>34<\/sub>\u00a0= 309.48 mm<\/td>\n<td>\u03b8<sub>14<\/sub>\u00a0= 39.33\u00b0<\/td>\n<td>x<sub>D<\/sub>\u00a0= \u2212704.91 mm<\/td>\n<td>y<sub>D<\/sub> = \u221254.03 mm<\/td>\n<\/tr>\n<tr>\n<td>\u03c9<sub>14<\/sub> = \u22120.45 rad\/s<\/td>\n<td>v<sub>34<\/sub> = \u2212148.28 mm\/s<\/td>\n<td>v<sub>Dx<\/sub> = 90.39 mm\/s<\/td>\n<td>v<sub>Dy<\/sub> = 411.11 mm\/s<\/td>\n<\/tr>\n<tr>\n<td>\u03b1<sub>14<\/sub> = \u22120.38 rad\/s<sup>2<\/sup><\/td>\n<td>a<sub>34<\/sub>\u00a0= 0.34 mm\/s<sup>2<\/sup><\/td>\n<td>a<sub>Dx<\/sub>\u00a0= 206.36 mm\/s<sup>2<\/sup><\/td>\n<td>a<sub>Dy<\/sub>\u00a0= 176.38 mm\/s<sup>2<\/sup><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>olarak elde edilmi\u015ftir.\u00a0s<sub>12<\/sub> = 200 mm iken ise:<\/p>\n<table border=\"0\" width=\"100%\">\n<tbody>\n<tr>\n<td>s<sub>34<\/sub>= 219.49 mm<\/td>\n<td>\u03b8<sub>14<\/sub>\u00a0= 9.96\u00b0<\/td>\n<td>x<sub>D<\/sub>\u00a0= \u2212552.14 mm<\/td>\n<td>y<sub>D<\/sub>\u00a0= 314.27 mm<\/td>\n<\/tr>\n<tr>\n<td>\u03c9<sub>14<\/sub> = \u22120.81 rad\/s<\/td>\n<td>v<sub>34<\/sub> = \u221292.51 mm\/s<\/td>\n<td>v<sub>Dx<\/sub>\u00a0= 344.96 mm\/s<\/td>\n<td>v<sub>Dy<\/sub> = 461.97 mm\/s<\/td>\n<\/tr>\n<tr>\n<td>\u03b1<sub>14<\/sub> = \u22120.46 rad\/s<sup>2<\/sup><\/td>\n<td>a<sub>34<\/sub> = 0.67 mm\/s<sup>2<\/sup><\/td>\n<td>a<sub>Dx<\/sub>\u00a0= 528.39 mm\/s<sup>2<\/sup><\/td>\n<td>a<sub>Dy<\/sub>\u00a0= \u2212101.15 mm\/s<sup>2<\/sup><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>olarak elde edilmi\u015ftir.<\/p>\n<p align=\"center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1234\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/img233-2.gif\" alt=\"\" width=\"639\" height=\"653\" \/><\/p>\n<p><span style=\"color: #cc0000\">Excel k\u00fct\u00fc\u011f\u00fc i\u00e7in t\u0131klay\u0131n\u0131z: &#8211;<a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/TransferMek.xls\">TransferMek.xls<\/a>&#8211;<\/span><\/p>\n<p>Ayn\u0131 problemi grafik olarak \u00e7\u00f6zmek istedi\u011fimizde<\/p>\n<p style=\"text-align: center\"><strong>v<\/strong><sub>B4<\/sub> = <strong>v<\/strong><sub>B3<\/sub> + <strong>v<\/strong><sub>B4\/3<\/sub><\/p>\n<p>vekt\u00f6r h\u0131z denkleminin \u00e7\u00f6z\u00fcm\u00fc gerekecektir. B<sub>3<\/sub>\u00a0noktas\u0131n\u0131n h\u0131z\u0131, v<sub>B3<\/sub>, B<sub>2<\/sub>\u00a0noktas\u0131n\u0131n h\u0131z\u0131na ve bu h\u0131z ise 2 uzvunun \u00f6teleme h\u0131z\u0131na e\u015fittir (v<sub>B3<\/sub>\u00a0= v<sub>B2<\/sub>\u00a0= v<sub>12<\/sub>). <strong>v<\/strong><sub>B4\/3<\/sub>\u00a0ba\u011f\u0131l h\u0131z\u0131n\u0131n 3 ve 4 uzvu aras\u0131nda bulunan kayar mafsal eksenine paralel olmas\u0131 gerekir. B<sub>4<\/sub> noktas\u0131n\u0131n h\u0131z\u0131, <strong>v<\/strong><sub>B4<\/sub>, 4 uzvu sabit bir eksen etraf\u0131nda d\u00f6nme yapt\u0131\u011f\u0131ndan A<sub>0<\/sub>B do\u011frusuna dik olmal\u0131d\u0131r. \u0130lk olarak <strong>v<\/strong><sub>B2<\/sub>\u00a0h\u0131z vekt\u00f6r\u00fcn\u00fc\u00a0k<sub>v<\/sub> = 1 mm\/(mm\/s)\u00a0\u00f6l\u00e7e\u011fi kullanarak mm \u015feklinde uzunlu\u011fa \u00e7evirdikten sonra bu uzunlukta 1 ve 2 uzvu aras\u0131nda bulunan kayar \u00e7ift eksenine paralel bir do\u011fru olarak \u00e7izelim. Bu do\u011frunun ba\u015flang\u0131\u00e7 noktas\u0131ndan A<sub>0<\/sub>B do\u011frusuna dik bir do\u011fru ve u\u00e7 noktas\u0131ndan 3 ve 4 uzvu aras\u0131nda bulunan kayar \u00e7ift eksenine paralel bir do\u011fru \u00e7izelim. Bu iki do\u011frunun \u00e7ak\u0131\u015fma noktas\u0131 bize <strong>v<\/strong><sub>B4<\/sub>\u00a0ve <strong>v<\/strong><sub>B4\/3<\/sub> h\u0131zlar\u0131n\u0131n \u015fiddetini verecektir (\u00f6rne\u011fin v<sub>B4<\/sub>\u00a0= 176.8 mm\/k<sub>v<\/sub> = 176.8 mm\/s). Bu h\u0131z poligonu \u00e7\u00f6z\u00fcld\u00fckten sonra, 4 uzvunun a\u00e7\u0131sal h\u0131z\u0131: \u03c9<sub>14<\/sub>\u00a0= v<sub>B4<\/sub>\/|A<sub>0<\/sub>B| = 176.77\/239.54 = 0.74 rad\/s\u00a0olarak elde edilir. Bu a\u00e7\u0131sal h\u0131z y\u00f6n\u00fc <strong>v<\/strong><sub>B4<\/sub> h\u0131z vekt\u00f6r\u00fcne g\u00f6re saat yelkovan\u0131 y\u00f6n\u00fcnde olmas\u0131 gerekir. Ayr\u0131ca 3 ve 4 uzvu aras\u0131nda kayar mafsaldan dolay\u0131 her hangi bir ba\u011f\u0131l d\u00f6nme olamayaca\u011f\u0131ndan \u03c9<sub>14<\/sub>\u00a0= \u03c9<sub>13<\/sub> t\u00fcr. Bu denklem \u00e7\u00f6z\u00fcld\u00fckten sonra, D noktas\u0131n\u0131n h\u0131z\u0131 i\u00e7in:<\/p>\n<p style=\"text-align: center\"><strong>v<\/strong><sub>D<\/sub>\u00a0= <strong>v<\/strong><sub>B3<\/sub>\u00a0+ <strong>v<\/strong><sub>D\/B3<\/sub><\/p>\n<p>h\u0131z denklemi yaz\u0131labilir. Bu denklemde v<sub>D\/B3<\/sub>\u00a0= \u03c9<sub>13<\/sub>|DB| = 0.738\u00d7551.41 = 406.9 mm\/s dir ve <strong>v<\/strong><sub>D\/B3<\/sub> h\u0131z vekt\u00f6r\u00fc DB do\u011frusuna dik olmal\u0131d\u0131r (\u03c9<sub>13<\/sub>\u00a0e g\u00f6re DB do\u011frusu 90\u00b0\u00a0saat yelkovan\u0131 y\u00f6n\u00fcnde d\u00f6nd\u00fcr\u00fclecektir). Bu iki vekt\u00f6r\u00fcn toplam\u0131 bize D noktas\u0131n\u0131n h\u0131z\u0131n\u0131 verir. Dikkat edilir ise, h\u0131z devre denklemine kar\u015f\u0131 gelen h\u0131z vekt\u00f6r\u00fc denklemi \u00e7\u00f6z\u00fclmeden D noktas\u0131n\u0131n h\u0131z\u0131n\u0131 veren denklem \u00e7\u00f6z\u00fclemez. Elde edilmi\u015f olan sonu\u00e7, analitik olarak elde edilen sonuca say\u0131sal olarak \u00e7ok yak\u0131nd\u0131r (Bunun nedeni her iki \u00e7\u00f6z\u00fcm i\u00e7in bilgisayar kullan\u0131lmas\u0131ndand\u0131r. Grafik \u00e7\u00f6z\u00fcm pergel-cetvel ile yap\u0131lsa idi, fark g\u00f6r\u00fcl\u00fcr derecede olabilirdi).<\/p>\n<p align=\"center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1235\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/img233-3.gif\" alt=\"\" width=\"963\" height=\"469\" \/><\/p>\n<p><span style=\"color: #cc0000\">Bu \u015feklin AutoCad K\u00fct\u00fc\u011f\u00fc i\u00e7in t\u0131klay\u0131n\u0131z: &#8211;<a href=\"https:\/\/ocw.metu.edu.tr\/pluginfile.php\/1844\/mod_resource\/content\/3\/ch4\/sec3\/TransferMek.dwg\">TransferMek.dwg<\/a>&#8211;<\/span><\/p>\n<p>Ayn\u0131 mekanizman\u0131n grafik y\u00f6ntemle ivme analizi i\u00e7in vekt\u00f6r ivme denklemi:<\/p>\n<p style=\"text-align: center\"><strong>a<sup>t<\/sup><\/strong><sub>B4<\/sub>\u00a0+ <strong>a<sup>n<\/sup><\/strong><sub>B4<\/sub>\u00a0= <strong>a<\/strong><sub>B3<\/sub>\u00a0+ <strong>a<sup>t<\/sup><\/strong><sub>B4\/3<\/sub>\u00a0+ <strong>a<sup>c<\/sup><\/strong><sub>B4\/2<\/sub><\/p>\n<p align=\"left\">olarak yaz\u0131labilir. B<sub>4<\/sub>\u00a0noktas\u0131n\u0131 ele ald\u0131\u011f\u0131m\u0131zda <strong>a<sup>t<\/sup><\/strong><sub>B4<\/sub> te\u011fetsel ivmenin \u015fiddeti \u03b1<sub>14<\/sub>|BA<sub>0<\/sub>| (\u03b1<sub>14<\/sub>\u00a0bilinmiyor) ve y\u00f6n\u00fc BA<sub>0<\/sub>\u00a0olacakt\u0131r.\u00a0<strong>a<sup>n<\/sup><\/strong><sub>B4<\/sub> normal ivmenin ise \u015fiddeti \u03c9<sub>14<\/sub><sup>2<\/sup>|BA<sub>0<\/sub>| = v<sub>B4<\/sub><sup>2<\/sup>\/|BA<sub>0<\/sub>| = 130.45 mm\/s<sup>2<\/sup>, y\u00f6n\u00fc ise BA<sub>0<\/sub>\u00a0y\u00f6n\u00fcnde ve A<sub>0<\/sub>\u00a0a do\u011fru olmas\u0131 gereklidir. B<sub>3<\/sub>\u00a0ve B<sub>2<\/sub>\u00a0noktalar\u0131 daima \u00e7ak\u0131\u015fan noktalar oldu\u011fundan ayn\u0131 h\u0131z ve ivmeye sahiptirler. Pistonun sabit bir h\u0131zla \u00f6teledi\u011fini kabul eder isek:\u00a0<strong>a<\/strong><sub>B2\u00a0<\/sub>=\u00a0<strong>a<\/strong><sub>B3\u00a0<\/sub>= <strong>0<\/strong> d\u0131r. Te\u011fetsel ba\u011f\u0131l ivme <strong>a<sup>t<\/sup><\/strong><sub>B4\/3<\/sub>\u00a03 ve 4 uzvu aras\u0131nda bulunan kayar mafsal ekseni y\u00f6n\u00fcnde bilinmeyen bir \u015fiddetle olu\u015facakt\u0131r.\u00a0<strong>a<sup>c<\/sup><\/strong><sub>B4\/3<\/sub> Coriolis ivmesine gelince, \u015fiddeti 2\u03c9<sub>14<\/sub>v<sub>B4\/3<\/sub> = 187.32 mm\/s<sup>2<\/sup> dir, y\u00f6n\u00fc ise <strong>v<\/strong><sub>B4\/3<\/sub> ba\u011f\u0131l h\u0131z vekt\u00f6r\u00fcn\u00fcn \u03c9<sub>14<\/sub>\u00a0a\u00e7\u0131sal h\u0131z vekt\u00f6r\u00fcn\u00fcn y\u00f6n\u00fcne g\u00f6re 90\u00b0\u00a0d\u00f6nd\u00fcr\u00fclmesi ile elde edilir. Bu ivme vekt\u00f6rleri bile\u015fenlerini belirli bir \u00f6l\u00e7ek kullanarak \u00e7izdi\u011fimizde (k<sub>a<\/sub> = 1 mm\/(mm\/s<sup>2<\/sup>) kullan\u0131lm\u0131\u015ft\u0131r), <strong>a<sup>t<\/sup><\/strong><sub>B4<\/sub>\u00a0ve <strong>a<sup>t<\/sup><\/strong><sub>B4\/3<\/sub>\u00a0ivmelerinin \u015fiddeti bulunur (\u00fcstteki \u015fekil).<\/p>\n<p align=\"left\">D noktas\u0131n\u0131n ivmesi i\u00e7in ise:<\/p>\n<p style=\"text-align: center\" align=\"left\"><strong>a<\/strong><sub>D<\/sub>\u00a0= <strong>a<\/strong><sub>B3<\/sub>\u00a0+ <strong>a<sup>n<\/sup><\/strong><sub>D\/B<\/sub>\u00a0+ <strong>a<sup>t<\/sup><\/strong><sub>D\/B<\/sub><\/p>\n<p align=\"left\">D noktas\u0131n\u0131n y\u00f6r\u00fcngesi bilinmedi\u011finden dolay\u0131,\u00a0<strong>a<\/strong><sub>D<\/sub> ivmesini bile\u015fkeleri ile yazmam\u0131z do\u011fru olmayacakt\u0131r. <strong>a<\/strong><sub>B3<\/sub>\u00a0= <strong>0<\/strong> d\u0131r. <strong>a<sup>n<\/sup><\/strong><sub>D\/B<\/sub> normal ivmesinin \u015fiddeti \u03c9<sub>13<\/sub><sup>2<\/sup>|BD| = 300.32 mm\/s<sup>2<\/sup>, y\u00f6n\u00fc ise BD y\u00f6n\u00fcnde B ye do\u011fru olacakt\u0131r. Ba\u011f\u0131l te\u011fetsel ivme,\u00a0<strong>a<sup>t<\/sup><\/strong><sub>D\/B<\/sub>\u00a0nin \u015fiddeti \u03b1<sub>13<\/sub>|BD| dir. \u03b1<sub>13<\/sub>\u00a0= \u03b1<sub>14<\/sub>\u00a0= a<sup>t<\/sup><sub>B4<\/sub>\/|BA<sub>0<\/sub>| = 0.640 rad\/s<sup>2<\/sup> oldu\u011fundan <strong>a<sup>t<\/sup><\/strong><sub>D\/B<\/sub> \u015fiddeti 153.41 mm\/s<sup>2<\/sup> bulunur ve y\u00f6n\u00fc DB do\u011frusunun \u03b1<sub>13<\/sub>\u00a0y\u00f6n\u00fcnde 90\u00b0\u00a0d\u00f6nd\u00fcr\u00fclmesi ile elde edilir. Y\u00f6nleri ve \u015fiddetleri bilinen bu vekt\u00f6rlerin toplam\u0131 D noktas\u0131n\u0131n ivmesini \u015fiddet ve y\u00f6n olarak verecektir.<\/p>\n<p align=\"center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1236\" src=\"https:\/\/blog.metu.edu.tr\/eresmech\/files\/2021\/09\/img233-4.gif\" alt=\"\" width=\"468\" height=\"436\" \/><\/p>\n<\/div>\n<\/div><\/div><\/div><\/div><\/div>\n\n\n<p> <a href=\"https:\/\/blog.metu.edu.tr\/eresmech\/mekanizma-teknigi\/ch4\/4-2-2\/\" 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\/ch4\/\" 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\/ch4\/4-2-4\/\" 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>4.2 Mekanizmalarda H\u0131z ve \u0130vme Analizi -3 \u00d6rnek: \u015eekilde g\u00f6sterilen mekanizmada pistonun (2 uzvu) yukar\u0131ya do\u011fru sabit h\u0131z\u0131 vB = v2\/1 = 180 mm\/s dir. D noktas\u0131n\u0131n h\u0131z ve ivmesini bulmam\u0131z istenmektedir. A\u015fa\u011f\u0131da Excel programlar\u0131 kullan\u0131larak say\u0131sal \u00e7\u00f6z\u00fcm g\u00f6sterilmektedir. Devre &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/blog.metu.edu.tr\/eresmech\/mekanizma-teknigi\/ch4\/4-2-3\/\"> <span class=\"screen-reader-text\">4-2-3<\/span> Devam\u0131n\u0131 Oku &raquo;<\/a><\/p>\n","protected":false},"author":7747,"featured_media":0,"parent":1027,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-1033","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blog.metu.edu.tr\/eresmech\/wp-json\/wp\/v2\/pages\/1033","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=1033"}],"version-history":[{"count":0,"href":"https:\/\/blog.metu.edu.tr\/eresmech\/wp-json\/wp\/v2\/pages\/1033\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/eresmech\/wp-json\/wp\/v2\/pages\/1027"}],"wp:attachment":[{"href":"https:\/\/blog.metu.edu.tr\/eresmech\/wp-json\/wp\/v2\/media?parent=1033"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}