{"id":8279,"date":"2018-05-01T01:17:08","date_gmt":"2018-04-30T17:17:08","guid":{"rendered":"http:\/\/www.jdcui.com\/?p=8279"},"modified":"2026-02-18T21:23:03","modified_gmt":"2026-02-18T13:23:03","slug":"midas-genabaqusmidas2abaqus-verification-example-eigen-15-eigenvalue-analysis-of-simply-supported-thin-annular-plate-midas-gen-%e9%aa%8c%e8%af%81%e5%ae%9e%e4%be%8beigen-15-%e7%ae%80","status":"publish","type":"post","link":"http:\/\/www.jdcui.com\/?p=8279","title":{"rendered":"[Midas2Abaqus] Verification Example Eigen-15: Eigenvalue analysis of simply supported thin annular plate [ Midas Gen \u9a8c\u8bc1\u5b9e\u4f8bEigen-15:  \u7b80\u652f\u8584\u5706\u677f\u7684\u7279\u5f81\u503c\u5206\u6790]"},"content":{"rendered":"<p style=\"padding-left: 30px;\"><strong>\u30101\u3011Problem Description<\/strong><\/p>\n<p style=\"padding-left: 30px;\">A simply supported thin annular plate is analyzed to determine the first 10 natural frequencies. Determine the natural frequencies and mode shapes. ( <strong>This model is original come from Midas Gen Verification Example &#8211; Eigen-15.<\/strong> )<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8289\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P1_StructureDescription-1.gif\" alt=\"\" width=\"657\" height=\"364\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8288\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P1_StructureDescription2.gif\" alt=\"\" width=\"445\" height=\"311\" \/><\/p>\n<p style=\"padding-left: 30px;\"><strong>\u30102\u3011Midas Gen Model<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8291\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P2_MidasGenModel-1.gif\" alt=\"\" width=\"600\" height=\"430\" \/><\/p>\n<p style=\"padding-left: 30px;\"><strong>\u30103\u3011Midas 2 Abaqus Model<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8292\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P3_MidasGenModel.gif\" alt=\"\" width=\"600\" height=\"429\" \/><\/p>\n<p style=\"padding-left: 30px;\"><strong>\u30104\u3011Abaqus Model<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8293\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P4_AbaqusModel.gif\" alt=\"\" width=\"600\" height=\"422\" \/><\/p>\n<p style=\"padding-left: 30px;\"><strong>\u30105\u3011Midas Gen\u00a0 Analysis Results<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8295\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P5_MidasGenMode1.gif\" alt=\"\" width=\"600\" height=\"300\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P5_MidasGenMode1.gif 600w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P5_MidasGenMode1-300x150.gif 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/p>\n<p style=\"text-align: center;\">(1) Midas Gen Mode 1<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8296\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P5_MidasGenMode2.gif\" alt=\"\" width=\"600\" height=\"300\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P5_MidasGenMode2.gif 600w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P5_MidasGenMode2-300x150.gif 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/>(2) Midas Gen Mode 2<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8297\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P5_MidasGenMode4.gif\" alt=\"\" width=\"600\" height=\"300\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P5_MidasGenMode4.gif 600w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P5_MidasGenMode4-300x150.gif 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/p>\n<p style=\"text-align: center;\">(3) Midas Gen Mode 4<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8298\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P5_MidasGenMode6.gif\" alt=\"\" width=\"600\" height=\"300\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P5_MidasGenMode6.gif 600w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P5_MidasGenMode6-300x150.gif 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/p>\n<p style=\"text-align: center;\">(5) Midas Gen Mode 6<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8299\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P5_MidasGenMode7.gif\" alt=\"\" width=\"600\" height=\"300\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P5_MidasGenMode7.gif 600w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P5_MidasGenMode7-300x150.gif 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/p>\n<p style=\"text-align: center;\">(6) Midas Gen Mode 7<\/p>\n<p style=\"padding-left: 30px;\"><strong>\u30106\u3011Abaqus\u00a0 Analysis Results<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8301\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P6_AbaqusMode1O.gif\" alt=\"\" width=\"598\" height=\"395\" \/><\/p>\n<p style=\"text-align: center;\">(1)\u00a0 Mode 1<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8302\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P6_AbaqusMode2O.gif\" alt=\"\" width=\"589\" height=\"368\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P6_AbaqusMode2O.gif 589w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P6_AbaqusMode2O-480x300.gif 480w\" sizes=\"auto, (max-width: 589px) 100vw, 589px\" \/><\/p>\n<p style=\"text-align: center;\">(2) Mode 2<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8303\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P6_AbaqusMode4O.gif\" alt=\"\" width=\"598\" height=\"306\" \/><\/p>\n<p style=\"text-align: center;\">(3) Mode 4<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8304\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P6_AbaqusMode6O.gif\" alt=\"\" width=\"590\" height=\"370\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P6_AbaqusMode6O.gif 590w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P6_AbaqusMode6O-480x300.gif 480w\" sizes=\"auto, (max-width: 590px) 100vw, 590px\" \/><\/p>\n<p style=\"text-align: center;\">(4) Mode 6<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8305\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/05\/P6_AbaqusMode7O.gif\" alt=\"\" width=\"598\" height=\"398\" \/><\/p>\n<p style=\"text-align: center;\">(5) Mode 7<\/p>\n<p style=\"text-align: left; padding-left: 30px;\"><strong>\u30107\u3011Comparison of Results<\/strong><\/p>\n<p style=\"text-align: center;\">Frequency ( Unit: Hz)<\/p>\n<table class=\" aligncenter\" style=\"width: 409px;\">\n<tbody>\n<tr>\n<td style=\"width: 87.2969px;\">Mode<\/td>\n<td style=\"width: 107.703px;\">Theoretical<\/td>\n<td style=\"width: 96px;\">Midas Gen<\/td>\n<td style=\"width: 91px;\">Abaqus<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 87.2969px;\">1<\/td>\n<td style=\"width: 107.703px;\">1.87<\/td>\n<td style=\"width: 96px;\">1.857<\/td>\n<td style=\"width: 91px;\">1.869<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 87.2969px;\">2\u30013<\/td>\n<td style=\"width: 107.703px;\">5.137<\/td>\n<td style=\"width: 96px;\">5.141<\/td>\n<td style=\"width: 91px;\">5.192<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 87.2969px;\">4\u30015<\/td>\n<td style=\"width: 107.703px;\">9.673<\/td>\n<td style=\"width: 96px;\">9.658<\/td>\n<td style=\"width: 91px;\">9.829<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 87.2969px;\">6<\/td>\n<td style=\"width: 107.703px;\">14.85<\/td>\n<td style=\"width: 96px;\">14.47<\/td>\n<td style=\"width: 91px;\">15.076<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 87.2969px;\">7<\/td>\n<td style=\"width: 107.703px;\">15.573<\/td>\n<td style=\"width: 96px;\">15.459<\/td>\n<td style=\"width: 91px;\">15.905<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<p><center><strong><div  class=\"thumbs-rating-container\" id=\"thumbs-rating-8279\" data-content-id=\"8279\"><button class=\"thumbs-rating-up thumbs-rating-voted\" onclick=\"thumbs_rating_vote(8279, 1);\">Vote Up +8<\/button> <button class=\"thumbs-rating-down\" onclick=\"thumbs_rating_vote(8279, 2);\">Vote Down -0<\/button><span class=\"thumbs-rating-already-voted\">You already voted!<\/span><\/div><\/strong><\/center><\/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\" class=\"aligncenter wp-image-3636\" 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;\"><strong>\u6b22\u8fce\u5173\u6ce8\u00a0\u201c<span style=\"color: #ff00ff;\">\u7ed3\u6784\u4e4b\u65c5<\/span>\u201d\u00a0\u5fae\u4fe1\u516c\u4f17\u53f7<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30101\u3011Problem Description A simply supported thin annular plate is analyzed to determine the first 10 natural frequencies. Determine the natural frequencies and mode shapes. ( This model is original come &#8230;<\/p>\n","protected":false},"author":1,"featured_media":8292,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[336,853,31,861],"tags":[395,1289,292,1291,1080,1081,1268,1272,293,1290,1288,1088],"class_list":["post-8279","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-abaqus","category-midas","category-my-software-","category-simulation-analysis-","tag-abaqus","tag-eigenvalue-analysis","tag-fem","tag-frequency","tag-midas","tag-midas-gen","tag-midas2abaqus","tag-verification","tag-293","tag-1290","tag-1288","tag-1088"],"aioseo_notices":[],"views":2174,"_links":{"self":[{"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/posts\/8279","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=8279"}],"version-history":[{"count":0,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/posts\/8279\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/media\/8292"}],"wp:attachment":[{"href":"http:\/\/www.jdcui.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8279"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=8279"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=8279"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}