{"id":8767,"date":"2018-06-16T12:09:14","date_gmt":"2018-06-16T04:09:14","guid":{"rendered":"http:\/\/www.jdcui.com\/?p=8767"},"modified":"2026-02-15T08:46:36","modified_gmt":"2026-02-15T00:46:36","slug":"fem%e6%9c%89%e9%99%90%e5%85%83%e7%bc%96%e7%a8%8bcode-by-myself-2d-truss-fem-analysis-2d%e6%a1%81%e6%9e%b6%e7%9a%84%e6%9c%89%e9%99%90%e5%85%83%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"http:\/\/www.jdcui.com\/?p=8767","title":{"rendered":"[\u6709\u9650\u5143] [Code by myself] FEM Analysis: 2D Truss Element [\u6709\u9650\u5143\u5206\u6790: 2D\u6841\u67b6\u5355\u5143]"},"content":{"rendered":"<p><span style=\"color: #ff00ff;\"><em><strong>\uff08\u548c\u5c0f\u4f19\u4f34\uff0c\u4e00\u8d77\u7ed9\u5927\u5bb6\u5e26\u6765\u6709\u9650\u5143\u7f16\u7a0b\u6848\u4f8b\u3002\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><strong>JiDong Cui (\u5d14\u6d4e\u4e1c)<sup> 1<\/sup>, XueLong Shen (\u6c88\u96ea\u9f99)<sup>2<\/sup><\/strong><\/p>\n<p><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-8932\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P1_ProblemDescription-2.gif\" alt=\"\" width=\"448\" height=\"242\" \/><\/p>\n<p style=\"padding-left: 30px;\">\u8282\u70b91\u5904\u4e3a\u56fa\u5b9a\u94f0\u652f\u5ea7\uff0c\u8282\u70b94\u5904\u4e3a\u6ed1\u52a8\u94f0\u652f\u5ea7\uff0c\u8282\u70b95\u30016\u30017\u5904\u5206\u522b\u53d7\u5230-y\u65b9\u5411P=100000N\u7684\u96c6\u4e2d\u529b\u4f5c\u7528\uff1b\u7ed3\u6784\u4e2d\u5404\u6746\u4ef6\u91c7\u7528\u76f8\u540c\u7684\u89c4\u683c\uff0c\u5176\u4e2d\u5f39\u6027\u6a21\u91cfE=200000MPa\uff0c\u622a\u9762\u79efA=4532mm<sup>2<\/sup>\u3002<\/p>\n<p style=\"padding-left: 30px;\">\u57fa\u4e8eMATLAB\u7f16\u7a0b\u5b9e\u73b0\u8be5\u6841\u67b6\u7ed3\u6784\u7684\u5f39\u6027\u9759\u529b\u5206\u6790\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<\/strong><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-8935\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P2_MATLAB_Results.gif\" alt=\"\" width=\"600\" height=\"204\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P2_MATLAB_Results.gif 916w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P2_MATLAB_Results-768x262.gif 768w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/p>\n<ul>\n<li><strong>SAP2000<\/strong><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-8936 aligncenter\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P3_SAP2000_Model.gif\" alt=\"\" width=\"600\" height=\"345\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P3_SAP2000_Model.gif 1010w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P3_SAP2000_Model-768x442.gif 768w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-8937\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P3_SAP2000_Results.gif\" alt=\"\" width=\"600\" height=\"346\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P3_SAP2000_Results.gif 1010w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P3_SAP2000_Results-768x443.gif 768w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-8938\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P3_SAP2000_Results2.gif\" alt=\"\" width=\"600\" height=\"347\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P3_SAP2000_Results2.gif 1012w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P3_SAP2000_Results2-768x444.gif 768w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/p>\n<p style=\"text-align: center;\"><span id=\"tablepress-5-description\" class=\"tablepress-table-description tablepress-table-description-id-5\">EXCEL_MATLABvs.SAP2000<\/span>\n\n<table id=\"tablepress-5\" class=\"tablepress tablepress-id-5\" aria-describedby=\"tablepress-5-description\">\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-1\">\n\t<td class=\"column-1\">\u65b9\u5411<\/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>\n<\/tr>\n<tr class=\"row-2\">\n\t<td class=\"column-1\">X \u5411<\/td><td class=\"column-2\">MATLAB<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">0.2482<\/td><td class=\"column-5\">0.662<\/td><td class=\"column-6\">0.9102<\/td><td class=\"column-7\">0.7861<\/td><td class=\"column-8\">0.4551<\/td><td class=\"column-9\">0.1241<\/td>\n<\/tr>\n<tr class=\"row-3\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">SAP2000<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">0.2481<\/td><td class=\"column-5\">0.6615<\/td><td class=\"column-6\">0.9096<\/td><td class=\"column-7\">0.7856<\/td><td class=\"column-8\">0.4548<\/td><td class=\"column-9\">0.124<\/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\">-0.052<\/td><td class=\"column-5\">-0.0724<\/td><td class=\"column-6\">-0.0668<\/td><td class=\"column-7\">-0.0691<\/td><td class=\"column-8\">-0.0668<\/td><td class=\"column-9\">-0.0524<\/td>\n<\/tr>\n<tr class=\"row-5\">\n\t<td class=\"column-1\">Z \u5411<\/td><td class=\"column-2\">MATLAB<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">-1.5871<\/td><td class=\"column-5\">-1.5871<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">-1.0869<\/td><td class=\"column-8\">-1.9218<\/td><td class=\"column-9\">-1.0869<\/td>\n<\/tr>\n<tr class=\"row-6\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">SAP2000<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">-1.586<\/td><td class=\"column-5\">-1.586<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">-1.0862<\/td><td class=\"column-8\">-1.9205<\/td><td class=\"column-9\">-1.0862<\/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\">-0.0677<\/td><td class=\"column-5\">-0.0677<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">-0.0684<\/td><td class=\"column-8\">-0.0669<\/td><td class=\"column-9\">-0.0684<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-5 from cache -->\n<ul>\n<li><strong>Midas Gen<\/strong><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8939\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P4_MidasGen_Model.gif\" alt=\"\" width=\"600\" height=\"431\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8940\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P4_MidasGen_Results1.gif\" alt=\"\" width=\"600\" height=\"414\" \/><\/p>\n<p style=\"text-align: center;\"><span id=\"tablepress-6-description\" class=\"tablepress-table-description tablepress-table-description-id-6\">EXCEL_MATLABvs.MidasGen<\/span>\n\n<table id=\"tablepress-6\" class=\"tablepress tablepress-id-6\" aria-describedby=\"tablepress-6-description\">\n<thead>\n<tr class=\"row-1\">\n\t<th class=\"column-1\">\u65b9\u5411<\/th><td class=\"column-2\"><\/td><th class=\"column-3\">\u8282\u70b9 1<\/th><th class=\"column-4\">\u8282\u70b9 2<\/th><th class=\"column-5\">\u8282\u70b9 3<\/th><th class=\"column-6\">\u8282\u70b9 4<\/th><th class=\"column-7\">\u8282\u70b9 5<\/th><th class=\"column-8\">\u8282\u70b9 6<\/th><th class=\"column-9\">\u8282\u70b9 7<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-2\">\n\t<td class=\"column-1\">X \u5411<\/td><td class=\"column-2\">MATLAB<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">0.2482<\/td><td class=\"column-5\">0.662<\/td><td class=\"column-6\">0.9102<\/td><td class=\"column-7\">0.7861<\/td><td class=\"column-8\">0.4551<\/td><td class=\"column-9\">0.1241<\/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\">0.2481<\/td><td class=\"column-5\">0.6615<\/td><td class=\"column-6\">0.9096<\/td><td class=\"column-7\">0.7856<\/td><td class=\"column-8\">0.4548<\/td><td class=\"column-9\">0.124<\/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\">-0.0661<\/td><td class=\"column-5\">-0.0662<\/td><td class=\"column-6\">-0.0661<\/td><td class=\"column-7\">-0.0662<\/td><td class=\"column-8\">-0.0661<\/td><td class=\"column-9\">-0.0661<\/td>\n<\/tr>\n<tr class=\"row-5\">\n\t<td class=\"column-1\">Z \u5411<\/td><td class=\"column-2\">MATLAB<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">-1.5871<\/td><td class=\"column-5\">-1.5871<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">-1.0869<\/td><td class=\"column-8\">-1.9218<\/td><td class=\"column-9\">-1.0869<\/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\">-1.5871<\/td><td class=\"column-5\">-1.5871<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">-1.0869<\/td><td class=\"column-8\">-1.9218<\/td><td class=\"column-9\">-1.0869<\/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\">-0.0015<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">-0.0022<\/td><td class=\"column-8\">-0.0007<\/td><td class=\"column-9\">-0.0022<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-6 from cache -->\n<ul>\n<li><strong>ABAQUS<\/strong><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8941\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P5_AbaqusResults.gif\" alt=\"\" width=\"600\" height=\"290\" \/><\/p>\n<p style=\"text-align: center;\"><span id=\"tablepress-7-description\" class=\"tablepress-table-description tablepress-table-description-id-7\">EXCEL_MATLAB vs. Abaqus<\/span>\n\n<table id=\"tablepress-7\" class=\"tablepress tablepress-id-7\" aria-describedby=\"tablepress-7-description\">\n<thead>\n<tr class=\"row-1\">\n\t<th class=\"column-1\">\u65b9\u5411<\/th><td class=\"column-2\"><\/td><th class=\"column-3\">\u8282\u70b9 1<\/th><th class=\"column-4\">\u8282\u70b9 2<\/th><th class=\"column-5\">\u8282\u70b9 3<\/th><th class=\"column-6\">\u8282\u70b9 4<\/th><th class=\"column-7\">\u8282\u70b9 5<\/th><th class=\"column-8\">\u8282\u70b9 6<\/th><th class=\"column-9\">\u8282\u70b9 7<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-2\">\n\t<td class=\"column-1\">X \u5411<\/td><td class=\"column-2\">MATLAB<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">0.2482<\/td><td class=\"column-5\">0.662<\/td><td class=\"column-6\">0.9102<\/td><td class=\"column-7\">0.7861<\/td><td class=\"column-8\">0.4551<\/td><td class=\"column-9\">0.1241<\/td>\n<\/tr>\n<tr class=\"row-3\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">ABAQUS<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">0.2482<\/td><td class=\"column-5\">0.662<\/td><td class=\"column-6\">0.9102<\/td><td class=\"column-7\">0.7861<\/td><td class=\"column-8\">0.4551<\/td><td class=\"column-9\">0.1241<\/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\">-0.0141<\/td><td class=\"column-5\">0.0062<\/td><td class=\"column-6\">0.0007<\/td><td class=\"column-7\">0.0029<\/td><td class=\"column-8\">0.0007<\/td><td class=\"column-9\">-0.0137<\/td>\n<\/tr>\n<tr class=\"row-5\">\n\t<td class=\"column-1\">Z \u5411<\/td><td class=\"column-2\">MATLAB<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">-1.5871<\/td><td class=\"column-5\">-1.5871<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">-1.0869<\/td><td class=\"column-8\">-1.9218<\/td><td class=\"column-9\">-1.0869<\/td>\n<\/tr>\n<tr class=\"row-6\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">ABAQUS<\/td><td class=\"column-3\">0<\/td><td class=\"column-4\">-1.5871<\/td><td class=\"column-5\">-1.5871<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">-1.0869<\/td><td class=\"column-8\">-1.9218<\/td><td class=\"column-9\">-1.0869<\/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\">0.0013<\/td><td class=\"column-5\">0.0013<\/td><td class=\"column-6\">0<\/td><td class=\"column-7\">0.0018<\/td><td class=\"column-8\">0.0005<\/td><td class=\"column-9\">0.0018<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-7 from cache -->\n<p>&nbsp;<\/p>\n<p><span style=\"color: #ff00ff;\"><em><strong>\u53ef\u4ee5\u770b\u51fa\uff0cMATLAB\u7f16\u7a0b\u8ba1\u7b97\u7ed3\u679c\u662f\u548c SAP2000,MidasGen \u53ca Abaqus\u8ba1\u7b97\u7ed3\u679c\u662f\u5b8c\u5168\u4e00\u81f4\u7684\u3002<\/strong><\/em><\/span><\/p>\n<hr \/>\n<p><center><strong><div  class=\"thumbs-rating-container\" id=\"thumbs-rating-8767\" data-content-id=\"8767\"><button class=\"thumbs-rating-up thumbs-rating-voted\" onclick=\"thumbs_rating_vote(8767, 1);\">Vote Up +17<\/button> <button class=\"thumbs-rating-down thumbs-rating-voted\" onclick=\"thumbs_rating_vote(8767, 2);\">Vote Down 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