{"id":820,"date":"2015-01-08T02:03:52","date_gmt":"2015-01-07T18:03:52","guid":{"rendered":"http:\/\/www.jdcui.com\/?p=820"},"modified":"2026-02-17T11:21:58","modified_gmt":"2026-02-17T03:21:58","slug":"mdof-modal-analysis-%e5%a4%9a%e8%87%aa%e7%94%b1%e5%ba%a6%e7%bb%93%e6%9e%84%e6%a8%a1%e6%80%81%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"http:\/\/www.jdcui.com\/?p=820","title":{"rendered":"[\u7a0b\u5e8f] MDOF_Eigen: MDOF Modal Analysis [\u591a\u81ea\u7531\u5ea6\u7ed3\u6784\u6a21\u6001\u5206\u6790]"},"content":{"rendered":"<p>\u5206\u4eab\u4e00\u4e2a\u5c0f\u7a0b\u5e8f\u3002\u00a0<span style=\"color: #0000ff;\">\u00a0A program to share with you.<\/span><\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u7a0b\u5e8f\u56fe\u6807<span style=\"color: #0000ff;\">( Program Icon )<\/span><\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-818 \" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/01\/MDOF_EIGENICON.png\" alt=\"MDOF_EIGENICON\" width=\"113\" height=\"113\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/01\/MDOF_EIGENICON.png 90w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/01\/MDOF_EIGENICON-75x75.png 75w\" sizes=\"auto, (max-width: 113px) 100vw, 113px\" \/><\/p>\n<ul style=\"list-style-type: square;\">\n<li style=\"text-align: left;\"><strong><span style=\"color: #0000ff;\"><span style=\"color: #000000;\">\u7a0b\u5e8f\u4ecb\u7ecd\u00a0<\/span>( Program Introduction )<\/span><\/strong><\/li>\n<\/ul>\n<p>\u8be5\u7a0b\u5e8f\u662f\u4e4b\u524d\u6211\u5728\u4e0a<strong>\u7ed3\u6784\u52a8\u529b\u5b66<\/strong>\u8bfe\u7684\u65f6\u5019\u7f16\u5236\u7684\u3002\u7a0b\u5e8f\u4e3b\u8981\u7528\u4e8e\u8fdb\u884c\u526a\u5207\u5f62\u6846\u67b6\u7ed3\u6784\uff08\u5373\uff0c<strong>\u7cd6\u846b\u82a6\u4e32\u6a21\u578b<\/strong>\uff09\u7684\u6a21\u6001\u5206\u6790\u3002<\/p>\n<p>\u53ef\u4ee5\u4f7f\u7528\u8be5\u7a0b\u5e8f\u6c42\u89e3\u52a8\u529b\u5b66\u8bfe\u672c\u540e\u9762\u7684\u4e60\u9898\u3002\u9635\u578b\u6c42\u89e3\u4f7f\u7528<strong>\u96c5\u514b\u6bd4<\/strong>\u8fed\u4ee3\u6cd5\u3002<\/p>\n<p><span style=\"color: #0000ff;\">This program is developed by me in the <strong>Structure Dynamics<\/strong> class. It\u00a0is for modal\u00a0analysis of shear building (i.e. , flexurally rigid floor beams and slabs ) with lumped mass at each floor.<\/span><\/p>\n<p><span style=\"color: #0000ff;\">\u00a0You can use the program to explore eigenvalue problems on you textbook and improve your understanding on free vibration. The program use <strong>Jcaobi<\/strong> method for the solution of eigenvalues.<\/span><\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u7a0b\u5e8f\u754c\u9762\u00a0<span style=\"color: #0000ff;\">( Program Interface )<\/span><\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 30px; text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-840\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/01\/MDOF_IGENInterface.png\" alt=\"MDOF_Eigen Interface\" width=\"566\" height=\"537\" \/><\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong><span style=\"color: #0000ff;\"><span style=\"color: #000000;\">\u5b9e\u4f8b\u00a0<\/span>( Example)<\/span><\/strong><\/li>\n<\/ul>\n<p>\u6c42\u89e3\u4e00\u4e2a5\u5c42\u526a\u5207\u5f62\u6846\u67b6\u7ed3\u6784\u7684\u9635\u578b\uff0c\u6a21\u578b\u53c2\u6570\u5982\u4e0b\u56fe\u6240\u793a\u3002<\/p>\n<p><span style=\"color: #0000ff;\">The<a class=\"deetggxkzzm\" title=\"Click to Continue &gt; by Fun2Save\" href=\"#42925589\"> properties<img decoding=\"async\" src=\"http:\/\/cdncache-a.akamaihd.net\/items\/it\/img\/arrow-10x10.png\" alt=\"\" \/><\/a> of a 5-story shear building are given in the graph below. These include the floor mass, story stiffness . Determine the modes of the system.<\/span><\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-832\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/01\/Eigen_problem.png\" alt=\"EigenAnalaysis_Example\" width=\"507\" height=\"388\" \/><\/p>\n<p>\u00a0 \u00a0 \u00a0 (1) \u00a0\u8f93\u5165\u6a21\u578b\u53c2\u6570 <span style=\"color: #0000ff;\">( Input Model Parameters )<\/span><\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-827\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/01\/MDOF_Eigen_ModeParametersInput.png\" alt=\"MDOF_Eigen_ModeParametersInput\" width=\"478\" height=\"557\" \/><\/p>\n<p>\u00a0 \u00a0 \u00a0 (2) \u8fd0\u884c\u7279\u5f81\u503c\u5206\u6790<span style=\"color: #0000ff;\"> ( Run Eigen Analysis )<\/span><\/p>\n<p>(3) \u663e\u793a\u6a21\u6001\u7ed3\u679c <span style=\"color: #0000ff;\">( Show mode Shape )<\/span><\/p>\n<p>Mode 1 :<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-822\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/01\/MODE1.gif\" alt=\"MODE1\" width=\"500\" height=\"474\" \/><\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Mode 2 :<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-823\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/01\/MODE2.gif\" alt=\"MODE2\" width=\"500\" height=\"474\" \/><\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Mode 3\u00a0:<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-824\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/01\/MODE3.gif\" alt=\"MODE3\" width=\"500\" height=\"474\" \/><\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Mode 4 :<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-825\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/01\/MODE4.gif\" alt=\"MODE4\" width=\"500\" height=\"474\" \/><\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Mode 5\u00a0:<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-826\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/01\/MODE5.gif\" alt=\"MODE5\" width=\"500\" height=\"474\" \/><\/p>\n<p>\u00a0 \u00a0 \u00a0 (4) \u663e\u793a\u8be6\u7ec6\u7ed3\u679c<span style=\"color: #0000ff;\">( Show detailed results\u00a0)<\/span><\/p>\n<p style=\"padding-left: 30px;\">\u00a0 \u00a0<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-828\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/01\/MDOF_Eigen_DetailedResults.png\" alt=\"MDOF_Eigen_DetailedResults\" width=\"543\" height=\"565\" \/><\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u7f16\u5236\u53c2\u8003<span style=\"color: #0000ff;\">( References )<\/span><\/strong><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">[1] Anil K. Chopra . DYNAMICS OF STRUCTURES &#8211; Theory and Applications to Earthquake Engineering ( Fourth Edition ).<\/span><\/p>\n<section>\n<section>\n<section>\n<section>\n<section><\/section>\n<\/section>\n<\/section>\n<\/section>\n<section>\n<section>\n<hr \/>\n<p style=\"text-align: center;\"><span style=\"font-size: 14pt; background-color: #999999; color: #000000;\"><strong>\u5173\u4e8e\u6211\u4eec<\/strong><\/span><\/p>\n<p style=\"text-align: center;\">\u8d85\u9650\u590d\u6742\u9ad8\u5c42\u7ed3\u6784\u8bbe\u8ba1 | \u00a0\u7f8e\u6807\u6b27\u6807\u7ed3\u6784\u8bbe\u8ba1| \u8f6f\u4ef6\u5b9a\u5236\u5f00\u53d1| \u73af\u8bc4\u51cf\u632f\u63a7\u5236 |\u4eba\u884c\u53ca\u98ce\u81f4\u632f\u52a8\u63a7\u5236 | \u51cf\u9694\u9707\u8bbe\u8ba1 | \u65bd\u5de5\u8fc7\u7a0b\u6a21\u62df | \u5c0f\u54c1\u94a2\u7ed3\u6784 | \u6709\u9650\u5143\u4eff\u771f\u5206\u6790 | BIM\u4e0eGH\u53c2\u6570\u5316 | \u5927\u9707\u5f39\u5851\u6027\u5206\u6790<\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-3636 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\" alt=\"WeChat_QRCode\" width=\"250\" height=\"255\" \/><\/a><\/p>\n<p style=\"text-align: center;\">https:\/\/www.jdcui.com<\/p>\n<p style=\"text-align: center;\">\u5408\u4f5c\u53ca\u6280\u672f\u54a8\u8be2<\/p>\n<p style=\"text-align: center;\">COOPERATION &amp; CONTACT<\/p>\n<p style=\"text-align: center;\">E-mail\uff1ajidong_cui@163.com<\/p>\n<p style=\"text-align: center;\">WeChat &amp; Tel: 13450468449<\/p>\n<\/section>\n<\/section>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>\u5206\u4eab\u4e00\u4e2a\u5c0f\u7a0b\u5e8f\uff0c\u8be5\u7a0b\u5e8f\u662f\u4e4b\u524d\u6211\u5728\u4e0a\u7ed3\u6784\u52a8\u529b\u5b66\u8bfe\u7684\u65f6\u5019\u7f16\u5236\u7684\u3002\u7a0b\u5e8f\u4e3b\u8981\u7528\u4e8e\u8fdb\u884c\u526a\u5207\u5f62\u6846\u67b6\u7ed3\u6784\uff08\u5373\uff0c\u7cd6\u846b\u82a6\u4e32\u6a21\u578b\uff09\u7684\u6a21\u6001\u5206\u6790\u3002\u53ef\u4ee5\u4f7f\u7528\u8be5\u7a0b\u5e8f\u6c42\u89e3\u52a8\u529b\u5b66\u8bfe\u672c\u540e\u9762\u7684\u4e60\u9898\u3002\u9635\u578b\u6c42\u89e3\u4f7f\u7528\u96c5\u514b\u6bd4\u8fed\u4ee3\u6cd5\u3002This program is developed by me in the Structure Dynamics class. It is for modal analysis of shear building (i.e. , flexurally rigid floor beams and slabs ) with lumped mass at each floor.You can use the program to explore eigenvalue problems on you textbook and improve your understanding on free vibration. The program use Jcaobi method for the solution of eigenvalues.<\/p>\n","protected":false},"author":1,"featured_media":28115,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[382,157,31,5],"tags":[230,138,137,139,354,141,355,140,229],"class_list":["post-820","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dynamics-","category-earthquake-engineering-","category-my-software-","category-structural-engineering","tag-dynamics-of-structures","tag-eigenvalue","tag-mdof","tag-modal-analysis","tag-tool","tag-141","tag-355","tag-140","tag-229"],"aioseo_notices":[],"views":12190,"_links":{"self":[{"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/posts\/820","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=820"}],"version-history":[{"count":0,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/posts\/820\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/media\/28115"}],"wp:attachment":[{"href":"http:\/\/www.jdcui.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=820"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=820"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=820"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}