{"id":8778,"date":"2018-06-15T23:12:30","date_gmt":"2018-06-15T15:12:30","guid":{"rendered":"http:\/\/www.jdcui.com\/?p=8778"},"modified":"2018-11-25T14:47:12","modified_gmt":"2018-11-25T06:47:12","slug":"fem%e6%9c%89%e9%99%90%e5%85%83%e7%bc%96%e7%a8%8bmatlabcode-by-myself-fem-analysis-2d-euler-beam-element-%e6%9c%89%e9%99%90%e5%85%83%e5%88%86%e6%9e%90-2d%e6%ac%a7%e6%8b%89%e6%a2%81","status":"publish","type":"post","link":"http:\/\/www.jdcui.com\/?p=8778","title":{"rendered":"[FEM][\u6709\u9650\u5143][\u7f16\u7a0b][Matlab][Code by myself] FEM Analysis: 2D Euler Beam Element [\u6709\u9650\u5143\u5206\u6790: 2D\u6b27\u62c9\u6881\u5355\u5143]"},"content":{"rendered":"<p style=\"padding-left: 30px;\"><span style=\"color: #ff00ff;\"><em><strong>\uff08\u00a0\u00a0<\/strong><\/em><strong>\u6709\u7a7a\u548c\u5c0f\u4f19\u4f34\u4e00\u8d77\u5199\u5199\u6709\u9650\u5143\u7a0b\u5e8f <\/strong><em><strong>\uff09<\/strong><\/em><\/span><\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u7a0b\u5e8f\u4f5c\u8005\u00a0<span style=\"color: #0000ff;\">( Author)<\/span><\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 30px;\"><strong>JiDong Cui (\u5d14\u6d4e\u4e1c)<sup> 1<\/sup>, XueLong Shen (\u6c88\u96ea\u9f99)<sup>2<\/sup><\/strong><\/p>\n<p style=\"padding-left: 30px;\"><strong>1.\u5e7f\u5dde\u5bb9\u67cf\u751f\u5efa\u7b51\u7ed3\u6784\u8bbe\u8ba1\u4e8b\u52a1\u6240\uff1b2.\u534e\u5357\u7406\u5de5\u5927\u5b66\u5efa\u7b51\u8bbe\u8ba1\u7814\u7a76\u9662<\/strong><\/p>\n<ul>\n<li><strong>\u95ee\u9898\u63cf\u8ff0<span style=\"color: #0000ff;\">( Problem Description)<\/span><\/strong><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8898\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P1_ModelDescription.gif\" alt=\"\" width=\"392\" height=\"442\" \/><\/p>\n<p style=\"padding-left: 30px;\">\u8282\u70b91\u30015\u5904\u4e3a\u56fa\u5b9a\u652f\u5ea7\uff0c\u8282\u70b94\u5904\u53d7\u5230+x\u65b9\u5411P=200kN\u7684\u96c6\u4e2d\u529b\u4f5c\u7528\u3002\u7ed3\u6784\u4e2d\u5404\u6746\u4ef6\u91c7\u7528\u76f8\u540c\u7684\u6750\u6599\uff0c\u5f39\u6027\u6a21\u91cfE=30000MPa\uff0c\u6881\u3001\u67f1\u622a\u9762\u9762\u79ef\u5206\u522b\u4e3a0.08m<sup>2<\/sup>\u548c0.16m<sup>2<\/sup>\uff0c\u6881\u3001\u67f1\u622a\u9762\u60ef\u6027\u77e9\u5206\u522b\u4e3a0.0128\/12 m<sup>4<\/sup>\u548c0.0256\/12 m<sup>4<\/sup>\u3002<\/p>\n<p style=\"padding-left: 30px;\">\u57fa\u4e8eMATLAB\u7f16\u7a0b\u5b9e\u73b0\u8be5\u6846\u67b6\u7ed3\u6784\u7684\u5f39\u6027\u9759\u529b\u5206\u6790\uff0c\u6240\u6709\u6784\u4ef6\u91c7\u7528\u6b27\u62c9\u6881\u5355\u5143\u8fdb\u884c\u6a21\u62df\uff0c\u5e76\u5c06MATLAB\u7684\u8ba1\u7b97\u7ed3\u679c\u4e0eSAP2000\u3001midas Gen\u5206\u6790\u7ed3\u679c\u8fdb\u884c\u5bf9\u6bd4\u3002<\/p>\n<ul>\n<li><strong>MATLAB \u7f16\u7a0b\u7ed3\u679c<\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-8901\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/06\/P2_MATLABResults.gif\" alt=\"\" width=\"500\" height=\"396\" \/><\/p>\n<ul>\n<li><strong>SAP2000 \u8ba1\u7b97\u7ed3\u679c<\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-8903\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/06\/P3_SAP2000Results.gif\" alt=\"\" width=\"500\" height=\"551\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/06\/P3_SAP2000Results.gif 782w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/06\/P3_SAP2000Results-768x847.gif 768w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/p>\n<p style=\"text-align: center;\"><span id=\"tablepress-3-description\" class=\"tablepress-table-description tablepress-table-description-id-3\">MATLAB vs. SAP2000 Displacement<\/span>\n\n<table id=\"tablepress-3\" class=\"tablepress tablepress-id-3\" aria-describedby=\"tablepress-3-description\">\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-1\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u8282\u70b9 1<\/td><td class=\"column-3\">\u8282\u70b9 2<\/td><td class=\"column-4\">\u8282\u70b9 3<\/td><td class=\"column-5\">\u8282\u70b9 4<\/td><td class=\"column-6\">\u8282\u70b9 5<\/td><td class=\"column-7\">\u8282\u70b9 6<\/td><td class=\"column-8\">\u8282\u70b9 7<\/td><td class=\"column-9\">\u8282\u70b98<\/td>\n<\/tr>\n<tr class=\"row-2\">\n\t<td class=\"column-1\">MATLAB<\/td><td class=\"column-2\">0<\/td><td class=\"column-3\">11.6653<\/td><td class=\"column-4\">33.0395<\/td><td class=\"column-5\">53.7172<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">11.6666<\/td><td class=\"column-8\">33.0372<\/td><td class=\"column-9\">53.5102<\/td>\n<\/tr>\n<tr class=\"row-3\">\n\t<td class=\"column-1\">SAP2000<\/td><td class=\"column-2\">0<\/td><td class=\"column-3\">11.6653<\/td><td class=\"column-4\">33.0395<\/td><td class=\"column-5\">53.7172<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">11.6666<\/td><td class=\"column-8\">33.0372<\/td><td class=\"column-9\">53.5102<\/td>\n<\/tr>\n<tr class=\"row-4\">\n\t<td class=\"column-1\">\u76f8\u5bf9\u504f\u5dee\uff08 % \uff09<\/td><td class=\"column-2\">0<\/td><td class=\"column-3\">0.0002<\/td><td class=\"column-4\">0<\/td><td class=\"column-5\">0.0001<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">0.0002<\/td><td class=\"column-8\">-0.0001<\/td><td class=\"column-9\">0<\/td>\n<\/tr>\n<tr class=\"row-5\">\n\t<td class=\"column-1\">MATLAB<\/td><td class=\"column-2\">0<\/td><td class=\"column-3\">0.1585<\/td><td class=\"column-4\">0.2655<\/td><td class=\"column-5\">0.3114<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">-0.1585<\/td><td class=\"column-8\">-0.2655<\/td><td class=\"column-9\">-0.3114<\/td>\n<\/tr>\n<tr class=\"row-6\">\n\t<td class=\"column-1\">SAP2000<\/td><td class=\"column-2\">0<\/td><td class=\"column-3\">0.1585<\/td><td class=\"column-4\">0.2655<\/td><td class=\"column-5\">0.3114<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">-0.1585<\/td><td class=\"column-8\">-0.2655<\/td><td class=\"column-9\">-0.3114<\/td>\n<\/tr>\n<tr class=\"row-7\">\n\t<td class=\"column-1\">\u76f8\u5bf9\u504f\u5dee\uff08 % \uff09<\/td><td class=\"column-2\">0<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">-0.0002<\/td><td class=\"column-5\">0<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">0<\/td><td class=\"column-8\">-0.0002<\/td><td class=\"column-9\">0.0001<\/td>\n<\/tr>\n<tr class=\"row-8\">\n\t<td class=\"column-1\">MATLAB<\/td><td class=\"column-2\">0<\/td><td class=\"column-3\">-0.0054<\/td><td class=\"column-4\">-0.0065<\/td><td class=\"column-5\">-0.0049<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">-0.0054<\/td><td class=\"column-8\">-0.0065<\/td><td class=\"column-9\">-0.0049<\/td>\n<\/tr>\n<tr class=\"row-9\">\n\t<td class=\"column-1\">SAP2000<\/td><td class=\"column-2\">0<\/td><td class=\"column-3\">-0.0054<\/td><td class=\"column-4\">-0.0065<\/td><td class=\"column-5\">-0.0049<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">-0.0054<\/td><td class=\"column-8\">-0.0065<\/td><td class=\"column-9\">-0.0049<\/td>\n<\/tr>\n<tr class=\"row-10\">\n\t<td class=\"column-1\">\u76f8\u5bf9\u504f\u5dee\uff08 % \uff09<\/td><td class=\"column-2\">0<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">0<\/td><td class=\"column-5\">0.0001<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">0<\/td><td class=\"column-8\">0.0001<\/td><td class=\"column-9\">0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-3 from cache -->\n<ul>\n<li><strong>Midas Gen\u8ba1\u7b97\u7ed3\u679c<\/strong><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-8904\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/06\/P4_MidasGenResults.gif\" alt=\"\" width=\"600\" height=\"442\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/06\/P4_MidasGenResults.gif 1215w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/06\/P4_MidasGenResults-768x566.gif 768w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/p>\n<p style=\"text-align: center;\"><span id=\"tablepress-4-description\" class=\"tablepress-table-description tablepress-table-description-id-4\">MATLAB vs. MidasGen Displacement<\/span>\n\n<table id=\"tablepress-4\" class=\"tablepress tablepress-id-4\" aria-describedby=\"tablepress-4-description\">\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-1\">\n\t<td class=\"column-1\">\u54cd\u5e94\u7c7b\u578b<\/td><td class=\"column-2\"><\/td><td class=\"column-3\">\u8282\u70b9 1<\/td><td class=\"column-4\">\u8282\u70b9 2<\/td><td class=\"column-5\">\u8282\u70b9 3<\/td><td class=\"column-6\">\u8282\u70b9 4<\/td><td class=\"column-7\">\u8282\u70b9 5<\/td><td class=\"column-8\">\u8282\u70b9 6<\/td><td class=\"column-9\">\u8282\u70b9 7<\/td><td class=\"column-10\">\u8282\u70b98<\/td>\n<\/tr>\n<tr class=\"row-2\">\n\t<td class=\"column-1\">Dx<\/td><td class=\"column-2\">MATLAB<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">11.6653<\/td><td class=\"column-5\">33.0395<\/td><td class=\"column-6\">53.7172<\/td><td class=\"column-7\">0<\/td><td class=\"column-8\">11.6666<\/td><td class=\"column-9\">33.0372<\/td><td class=\"column-10\">53.5102<\/td>\n<\/tr>\n<tr class=\"row-3\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Midas Gen<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">11.6653<\/td><td class=\"column-5\">33.0395<\/td><td class=\"column-6\">53.7172<\/td><td class=\"column-7\">0<\/td><td class=\"column-8\">11.6666<\/td><td class=\"column-9\">33.0372<\/td><td class=\"column-10\">53.5102<\/td>\n<\/tr>\n<tr class=\"row-4\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u76f8\u5bf9\u504f\u5dee\uff08 % \uff09<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">0<\/td><td class=\"column-5\">0<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">0<\/td><td class=\"column-8\">0<\/td><td class=\"column-9\">0<\/td><td class=\"column-10\">0<\/td>\n<\/tr>\n<tr class=\"row-5\">\n\t<td class=\"column-1\">Dz<\/td><td class=\"column-2\">MATLAB<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">0.1585<\/td><td class=\"column-5\">0.2655<\/td><td class=\"column-6\">0.3114<\/td><td class=\"column-7\">0<\/td><td class=\"column-8\">-0.1585<\/td><td class=\"column-9\">-0.2655<\/td><td class=\"column-10\">-0.3114<\/td>\n<\/tr>\n<tr class=\"row-6\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Midas Gen<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">0.1585<\/td><td class=\"column-5\">0.2655<\/td><td class=\"column-6\">0.3114<\/td><td class=\"column-7\">0<\/td><td class=\"column-8\">-0.1585<\/td><td class=\"column-9\">-0.2655<\/td><td class=\"column-10\">-0.3114<\/td>\n<\/tr>\n<tr class=\"row-7\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u76f8\u5bf9\u504f\u5dee\uff08 % \uff09<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">0<\/td><td class=\"column-5\">0<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">0<\/td><td class=\"column-8\">0<\/td><td class=\"column-9\">0<\/td><td class=\"column-10\">0<\/td>\n<\/tr>\n<tr class=\"row-8\">\n\t<td class=\"column-1\">Ry<\/td><td class=\"column-2\">MATLAB<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">-0.0054<\/td><td class=\"column-5\">-0.0065<\/td><td class=\"column-6\">-0.0049<\/td><td class=\"column-7\">0<\/td><td class=\"column-8\">-0.0054<\/td><td class=\"column-9\">-0.0065<\/td><td class=\"column-10\">-0.0049<\/td>\n<\/tr>\n<tr class=\"row-9\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Midas Gen<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">-0.0054<\/td><td class=\"column-5\">-0.0065<\/td><td class=\"column-6\">-0.0049<\/td><td class=\"column-7\">0<\/td><td class=\"column-8\">-0.0054<\/td><td class=\"column-9\">-0.0065<\/td><td class=\"column-10\">-0.0049<\/td>\n<\/tr>\n<tr class=\"row-10\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u76f8\u5bf9\u504f\u5dee\uff08 % \uff09<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">0<\/td><td class=\"column-5\">0<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">0<\/td><td class=\"column-8\">0<\/td><td class=\"column-9\">0<\/td><td class=\"column-10\">0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-4 from cache -->\n<hr \/>\n<p><center><strong><div  class=\"thumbs-rating-container\" id=\"thumbs-rating-8778\" data-content-id=\"8778\"><button class=\"thumbs-rating-up thumbs-rating-voted\" onclick=\"thumbs_rating_vote(8778, 1);\">Vote Up +16<\/button> <button class=\"thumbs-rating-down thumbs-rating-voted\" onclick=\"thumbs_rating_vote(8778, 2);\">Vote Down -1<\/button><span class=\"thumbs-rating-already-voted\">You already voted!<\/span><\/div><\/strong><\/center><\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong><span style=\"color: #000000;\">\u6ce8\u91ca<\/span>\u00a0<span style=\"color: #0000ff;\">( Comments\u00a0)<\/span><\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 30px;\"><span style=\"color: #000000;\">\u6e90\u4ee3\u7801\u5df2\u7ecf\u6536\u5f55\u5230\u65b0\u4e66\u300a<strong>\u6709\u9650\u5355\u5143\u6cd5\uff1a\u7f16\u7a0b\u4e0e\u8f6f\u4ef6\u5e94\u7528<\/strong>\u300b\uff0c\u8be6\u89c1\u94fe\u63a5\uff1a<em><span style=\"color: #ff00ff;\"><a style=\"color: #ff00ff;\" href=\"http:\/\/www.jdcui.com\/?page_id=9731\" target=\"_blank\" rel=\"noopener\">http:\/\/www.jdcui.com\/?page_id=9731<\/a><\/span><\/em><\/span><\/p>\n<p style=\"padding-left: 30px;\">\u00a0\u00a0(<span style=\"color: #000000;\">\u00a0\u5982\u679c\u60a8\u53d1\u73b0\u6709\u9519\u8bef\uff0c\u6b22\u8fce\u6279\u8bc4\u6307\u6b63\u3002\u90ae\u7bb1\uff1a<span style=\"color: #0000ff;\">jidong_cui@163.com .\u00a0<strong>\u5982\u679c\u60a8\u559c\u6b22\u8fd9\u7bc7\u535a\u6587\uff0c\u8bf7\u5728\u4e0a\u9762\u7ed9\u6211\u00a0<span style=\"color: #ff0000;\">\u70b9\u4e2a\u8d5e\u00a0<\/span>\u5427\uff01<\/strong>\u00a0\ud83d\ude42 \u00a0 \ud83d\ude42 \u00a0\u00a0<\/span><\/span>\u00a0\u00a0(<span style=\"color: #0000ff;\">\u00a0If you found any mistakes in the post, please let me know.\u00a0Email :\u00a0jidong_cui@163.com.\u00a0If you like this posts, please give me a\u00a0<span style=\"color: #ff0000;\">&#8220;<em><strong>thumbs up<\/strong><\/em>&#8220;<\/span>\u00a0rating on the above button!\u00a0<\/span>)<\/p>\n<ul style=\"list-style-type: square;\">\n<li style=\"text-align: left;\"><strong>\u5fae\u4fe1\u516c\u4f17\u53f7\u00a0(\u00a0<span style=\"color: #0000ff;\">Wechat\u00a0Subscription<\/span>)<\/strong><\/li>\n<\/ul>\n<p><a href=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\"><img loading=\"lazy\" decoding=\"async\" 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