{"id":10724,"date":"2018-12-25T12:02:50","date_gmt":"2018-12-25T04:02:50","guid":{"rendered":"http:\/\/www.jdcui.com\/?p=10724"},"modified":"2023-08-08T15:06:10","modified_gmt":"2023-08-08T07:06:10","slug":"%e5%8a%9b%e5%ad%a6%e6%9c%89%e9%99%90%e5%85%83basics-of-linear-buckling-analysis-%e7%ba%bf%e6%80%a7%e6%9b%b2%e5%b1%88%e5%88%86%e6%9e%90%e5%9f%ba%e7%a1%80","status":"publish","type":"post","link":"http:\/\/www.jdcui.com\/?p=10724","title":{"rendered":"[\u529b\u5b66][\u6709\u9650\u5143][FEM]Basics of Buckling Analysis [\u66f2\u5c48\u5206\u6790\u57fa\u7840] (\u300a\u6709\u9650\u5355\u5143\u6cd5-\u7f16\u7a0b\u4e0e\u8f6f\u4ef6\u5e94\u7528\u300b\u7ae0\u8282\u8282\u9009)"},"content":{"rendered":"<p><span style=\"color: #ff00ff;\"><strong>\u5b9e\u5e72\u3001\u5b9e\u8df5\u3001\u79ef\u7d2f\u3001\u601d\u8003\u3001\u521b\u65b0\u3002<\/strong><\/span><\/p>\n<hr \/>\n<p><strong><a href=\"http:\/\/www.jdcui.com\/?page_id=9731\" target=\"_blank\" rel=\"noopener\">\u300a\u6709\u9650\u5355\u5143\u6cd5\uff1a\u7f16\u7a0b\u4e0e\u8f6f\u4ef6\u5e94\u7528\u300b<\/a>\u00a0\u66f2\u5c48\u5206\u6790\u00a0<\/strong>\u7ae0\u8282\u7684\u5185\u5bb9\u8282\u9009\uff1a<\/p>\n<p><strong><span style=\"background-color: #d5d5d5;\">11.1<\/span> \u7a33\u5b9a\u95ee\u9898\u5206\u7c7b<\/strong><\/p>\n<p>\u7ed3\u6784\u5931\u7a33\uff08\u5c48\u66f2\uff09\u662f\u6307\u5728\u5916\u529b\u4f5c\u7528\u4e0b\u7ed3\u6784\u7684\u5e73\u8861\u72b6\u6001\u5f00\u59cb\u4e27\u5931\uff0c\u7a0d\u6709\u6270\u52a8\u53d8\u5f62\u4fbf\u8fc5\u901f\u589e\u5927\uff0c\u6700\u540e\u4f7f\u7ed3\u6784\u53d1\u751f\u7834\u574f\u3002\u7a33\u5b9a\u95ee\u9898\u4e00\u822c\u5206\u4e3a\u4e24\u7c7b\uff0c\u7b2c\u4e00\u7c7b\u662f\u7406\u60f3\u5316\u7684\u60c5\u51b5\uff0c\u5373\u8fbe\u5230\u67d0\u79cd\u8377\u8f7d\u65f6\uff0c\u9664\u7ed3\u6784\u539f\u6765\u7684\u5e73\u8861\u72b6\u6001\u5b58\u5728\u5916\uff0c\u8fd8\u53ef\u80fd\u51fa\u73b0\u7b2c\u4e8c\u4e2a\u5e73\u8861\u72b6\u6001\uff0c\u6240\u4ee5\u53c8\u79f0<strong>\u5e73\u8861\u5206\u5c94\u5931\u7a33<\/strong>\u6216<strong>\u5206\u652f\u70b9\u5931\u7a33 (Buckling, Bifuraction)<\/strong>\uff08\u56fe1\u4e2dOAB\u66f2\u7ebf\uff09\uff0c\u5bf9\u5e94\u4e8e\u6570\u5b66\u4e2d\u662f\u6c42\u89e3\u7279\u5f81\u503c\u95ee\u9898\uff0c\u6545\u53c8\u79f0\u7279\u5f81\u503c\u5c48\u66f2\uff0c\u6b64\u7c7b\u7ed3\u6784\u5931\u7a33\u65f6\u76f8\u5e94\u7684\u8377\u8f7d\u79f0\u4e3a\u5c48\u66f2\u8377\u8f7d\u3002\u7b2c\u4e8c\u7c7b\u662f\u7ed3\u6784\u5931\u7a33\u65f6\uff0c\u53d8\u5f62\u5c06\u8fc5\u901f\u589e\u5927\uff0c\u800c\u4e0d\u4f1a\u51fa\u73b0\u65b0\u7684\u53d8\u5f62\u5f62\u5f0f\uff0c\u53c8\u79f0<strong>\u6781\u503c\u70b9\u5931\u7a33(Instability)<\/strong>\uff08\u56fe1\u4e2dOCD\u66f2\u7ebf\uff09\uff0c\u7ed3\u6784\u5931\u7a33\u65f6\u76f8\u5e94\u7684\u8377\u8f7d\u79f0\u4e3a\u6781\u9650\u8377\u8f7d\u3002\u6b64\u5916\u8fd8\u6709\u4e00\u79cd<strong>\u8df3\u8dc3\u5931\u7a33(Snap-through)<\/strong>\uff08\u56fe1\u4e2dOEF\u66f2\u7ebf\uff09\uff0c\u5f53\u8377\u8f7d\u8fbe\u5230\u67d0\u503c\u65f6\uff08E\u70b9\uff09\uff0c\u7ed3\u6784\u5e73\u8861\u72b6\u6001\u53d1\u751f\u4e00\u4e2a\u660e\u663e\u7684\u8df3\u8dc3\uff0c\u7a81\u7136\u8fc7\u6e21\u5230\u975e\u4e34\u8fd1\u7684\u53e6\u4e00\u4e2a\u5177\u6709\u8f83\u5927\u4f4d\u79fb\u7684\u5e73\u8861\u72b6\u6001\uff08F\u70b9\uff09\uff0c\u7531\u4e8e\u5728\u8df3\u8dc3\u65f6\u7ed3\u6784\u901a\u5e38\u5df2\u7ecf\u7834\u574f\uff0c\u5176\u540e\u7684\u72b6\u6001\u4e0d\u80fd\u88ab\u5229\u7528\uff0c\u6240\u4ee5\u53ef\u5f52\u5165\u7b2c\u4e8c\u7c7b\u5931\u7a33\u3002<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-10792\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/12\/BucklingAnalysis_1.gif\" alt=\"\" width=\"408\" height=\"254\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 11\u20111 \u7a33\u5b9a\u95ee\u9898<\/p>\n<p><strong><span style=\"background-color: #d5d5d5;\">11.2\u00a0<\/span>\u6700\u5c0f\u52bf\u80fd\u539f\u7406<\/strong><\/p>\n<p><strong>11.2.1 \u7cfb\u7edf\u7684\u5e73\u8861<\/strong><\/p>\n<p>\u82e5\u7cfb\u7edf\u5904\u4e8e\u5e73\u8861\u72b6\u6001\uff0c\u5219\u4e00\u5b9a\u5b58\u5728\u4e00\u79cd\u4f4d\u79fb\u72b6\u6001\uff0c\u4f7f\u5f97\u7cfb\u7edf\u603b\u52bf\u80fd\u4e3a\u9a7b\u503c\uff0c\u5373<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-10793 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/12\/BucklingAnalysis_2.gif\" alt=\"\" width=\"76\" height=\"49\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<strong> (11.2\u20111)<\/strong><\/p>\n<p>\u516c\u5f0f\u4e2d<\/p>\n<p style=\"text-align: center;\"><strong>\u00a0 \u00a0 <img loading=\"lazy\" decoding=\"async\" class=\" wp-image-10794 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/12\/BucklingAnalysis_3.gif\" alt=\"\" width=\"81\" height=\"27\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (11.2\u20112)<\/strong><\/p>\n<p>\u4e3a\u7cfb\u7edf\u603b\u52bf\u80fd\uff0c<strong>U\u00a0<\/strong>\u4e3a\u5e94\u53d8\u80fd\uff0c<strong>W\u00a0<\/strong>\u4e3a\u5916\u529b\u529f\u52bf\u80fd\uff0c\u6570\u503c\u4e0a\u7b49\u4e8e\u5916\u529b\u5728\u7cfb\u7edf\u53d8\u5f62\u4e2d\u505a\u7684\u529f\u53d6\u8d1f\u503c\uff0c\u4e09\u8005\u90fd\u662f\u7cfb\u7edf\u4f4d\u79fb\u7684\u51fd\u6570\u3002<\/p>\n<p><strong>11.2.2 \u7a33\u5b9a\u5e73\u8861<\/strong><\/p>\n<p>\u5982\u679c\u8981\u7814\u7a76\u4e00\u4e2a\u5e73\u8861\u662f\u5426\u7a33\u5b9a\uff0c\u5219\u9700\u8981\u8fdb\u4e00\u6b65\u8003\u8651\u603b\u52bf\u80fd\u7684\u4e8c\u9636\u53d8\u5206\u6761\u4ef6\uff0c\u5373<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-10795 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/12\/BucklingAnalysis_4.gif\" alt=\"\" width=\"265\" height=\"182\" \/><strong>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (11.2\u20113)<\/strong><\/p>\n<p>\u5de5\u7a0b\u4e2d\u611f\u5174\u8da3\u7684\u662f\u4e34\u754c\u5e73\u8861\u4f4d\u7f6e\u6240\u786e\u5b9a\u7684\u4e34\u754c\u8377\u8f7d\u548c\u76f8\u5e94\u7684\u5c48\u66f2\u5f62\u6001\uff0c\u56e0\u6b64\uff0c\u603b\u52bf\u80fd\u5bf9\u4f4d\u79fb\u7684\u4e8c\u9636\u5bfc\u6570\u4e3a\u6b63\u7684\u6761\u4ef6\u662f\u7814\u7a76\u5f39\u6027\u7a33\u5b9a\u6027\u7684\u7406\u8bba\u57fa\u7840\u3002<\/p>\n<p><strong>11.2.3 \u5f39\u6027\u7a33\u5b9a\u95ee\u9898\u7684\u6709\u9650\u5143\u5217\u5f0f<\/strong><\/p>\n<p>\u5206\u6790\u7a33\u5b9a\u95ee\u9898\u65f6\uff0c\u9700\u8981\u5728\u603b\u52bf\u80fd\u7684\u8ba1\u7b97\u4e2d\u8003\u8651\u4f4d\u79fb\u7684\u9ad8\u9636\u9879\u5f71\u54cd\uff0c\u6b64\u65f6\u5e94\u53d8\u80fdU\u53ef\u4ee5\u5206\u4e3a\u4e24\u90e8\u5206\uff0c\u5206\u522b\u662f\u5e94\u53d8\u80fd\u7684\u7ebf\u6027\u90e8\u5206\u548c\u975e\u7ebf\u6027\u90e8\u5206\uff0c\u5373<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-10796 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/12\/BucklingAnalysis_5.gif\" alt=\"\" width=\"127\" height=\"34\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0<strong>(11.2\u20114)<\/strong><\/p>\n<p>\u5916\u529b\u529f\u52bf\u80fd <img loading=\"lazy\" decoding=\"async\" class=\" wp-image-10797 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/12\/BucklingAnalysis_6.gif\" alt=\"\" width=\"78\" height=\"23\" \/>\uff0c\u5219\u52bf\u80fd\u9a7b\u503c\u65b9\u7a0b\u53ef\u4ee5\u5199\u6210<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-10798 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/12\/BucklingAnalysis_7.gif\" alt=\"\" width=\"286\" height=\"62\" \/>\u00a0 \u00a0 \u00a0 \u00a0\u00a0<strong>(11.2\u20115)<\/strong><\/p>\n<p>\u5c06\u5e94\u53d8\u80fd\u7684\u7ebf\u6027\u90e8\u5206\u548c\u975e\u7ebf\u6027\u90e8\u5206\u5206\u522b\u5199\u4f5c<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-10799 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/12\/BucklingAnalysis_8.gif\" alt=\"\" width=\"153\" height=\"121\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<strong>(11.2\u20116)<\/strong><\/p>\n<p>\u5219\u52bf\u80fd\u9a7b\u503c\u65b9\u7a0b\u53ef\u8fdb\u4e00\u6b65\u5199\u6210<\/p>\n<p style=\"text-align: center;\"><strong><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-10800 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/12\/BucklingAnalysis_9.gif\" alt=\"\" width=\"144\" height=\"31\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(11.2\u20117)<\/strong><\/p>\n<p>\u4e0a\u5f0f\u4e2d\uff0c<strong>K<sub>0<\/sub><\/strong> \u4e00\u822c\u662f\u4e0d\u53d8\u7684\uff0c<strong>K<sub>NL<\/sub><\/strong>\u00a0\u4e0e\u7cfb\u7edf\u7684\u4f4d\u79fb\u53ca\u5e94\u529b\u72b6\u6001\u6709\u5173\uff0c\u56e0\u6b64\u8be5\u5f0f\u662f\u4e00\u4e2a\u975e\u7ebf\u6027\u65b9\u7a0b\u3002\u5982\u679c\u4ee5\u672a\u53d8\u5f62\u7684\u521d\u59cb\u4f4d\u79fb\u4e3a\u53c2\u8003\uff0c\u5219<strong>K<sub>NL<\/sub><\/strong>\u00a0\u53ea\u4e0e\u7cfb\u7edf\u7684\u5e94\u529b\u6709\u5173\uff0c\u6b64\u65f6\u8fd9\u79cd\u4ec5\u7531\u5e94\u529b\u72b6\u6001\u6240\u51b3\u5b9a\u7684\u5355\u5143\u521a\u5ea6\u77e9\u9635\u53eb\u505a<span style=\"color: #ff00ff;\"><strong>\u51e0\u4f55\u521a\u5ea6\u77e9\u9635<\/strong><\/span>\uff0c\u6216<span style=\"color: #ff00ff;\"><strong>\u521d\u5e94\u529b\u77e9\u9635<\/strong><\/span>\uff0c\u7528<strong>K\u03c3<\/strong>\u8868\u793a\u3002<\/p>\n<p><strong>11.2.4 \u5f39\u6027\u7a33\u5b9a\u95ee\u9898\u7684\u6c42\u89e3<\/strong><\/p>\n<p>\u5f39\u6027\u7a33\u5b9a\u95ee\u9898\u53ef\u5206\u4e3a\u4e24\u7c7b\uff0c\u4e00\u7c7b\u662f\u6b27\u62c9\u7a33\u5b9a\u95ee\u9898\uff0c\u53e6\u4e00\u7c7b\u662f\u6781\u503c\u7a33\u5b9a\u95ee\u9898\u3002<\/p>\n<p><strong>\u6b27\u62c9\u7a33\u5b9a<\/strong>\u95ee\u9898\u662f\u6307\u7cfb\u7edf\u7684\u521d\u5e94\u529b\u72b6\u6001\u5904\u4e8e\u67d0\u79cd\u4e34\u754c\u72b6\u6001\u65f6\uff0c\u5bf9\u4e8e\u4e34\u754c\u4f4d\u79fb\u7684\u4efb\u4f55\u6320\u52a8\u90fd\u53ef\u80fd\u4f7f\u7cfb\u7edf\u4e27\u5931\u7a33\u5b9a\u6027\u3002\u5982\u679c\u628a\u6b27\u62c9\u5931\u7a33\u7684\u4e34\u754c\u72b6\u6001\u770b\u6210\u662f\u4e00\u79cd\u521d\u5e94\u529b\u72b6\u6001\uff0c\u5219\u6b27\u62c9\u7a33\u5b9a\u95ee\u9898\u4e5f\u53ef\u7528\u516c\u5f0f\u00a0<strong>(11.2\u20117)\u00a0<\/strong>\u6c42\u89e3\u3002\u5177\u4f53\u4e3a\uff1a\u6839\u636e\u67d0\u4e00\u521d\u59cb\u5e94\u529b\u72b6\u6001<strong>{\u03c3}<\/strong> \uff0c\u6c42\u5f97\u51e0\u4f55\u521a\u5ea6\u77e9\u9635<strong>[K\u03c3]<\/strong>\uff0c\u540c\u7406\u6613\u77e5\u5f53\u521d\u59cb\u5e94\u529b\u72b6\u6001\u4e3a<strong><em>\u03bb<\/em>{\u03c3} <\/strong>\u65f6\uff0c\u51e0\u4f55\u521a\u5ea6\u77e9\u9635\u4e3a <strong>\u03bb[K\u03c3]<\/strong>\uff0c\u5219\u516c\u5f0f<strong>(11.2\u20117)\u00a0<\/strong>\u53ef\u5199\u4f5c<\/p>\n<p style=\"text-align: center;\"><strong><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-10801 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/12\/BucklingAnalysis_10.gif\" alt=\"\" width=\"245\" height=\"33\" \/>\u00a0 \u00a0 \u00a0\u00a0\u00a0(11.2\u20118)<\/strong><\/p>\n<p>\u5047\u8bbe\u6b64\u65f6\u8fbe\u5230\u4e34\u754c\u72b6\u6001\uff0c\u5219\u5b58\u5728\u4e00\u4e2a\u6320\u52a8\u7684\u4f4d\u79fb\u72b6\u6001<img loading=\"lazy\" decoding=\"async\" class=\" wp-image-10802 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/12\/BucklingAnalysis_11.gif\" alt=\"\" width=\"83\" height=\"29\" \/>\uff0c\u4f7f\u5f97\u7cfb\u7edf\u5728\u5916\u529b\u4e0d\u53d8\u7684\u6761\u4ef6\u4e0b\u4e5f\u5904\u4e8e\u5e73\u8861\u72b6\u6001\uff0c\u5373<\/p>\n<p style=\"text-align: center;\"><strong><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-10803 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/12\/BucklingAnalysis_12.gif\" alt=\"\" width=\"294\" height=\"35\" \/>\u00a0 \u00a0 \u00a0\u00a0\u00a0(11.2\u20119)<\/strong><\/p>\n<p>\u4e24\u5f0f\u76f8\u51cf\u53ef\u5f97<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-10804 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/12\/BucklingAnalysis_13.gif\" alt=\"\" width=\"242\" height=\"36\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<strong>(11.2\u201110)<\/strong><\/p>\n<p>\u6b64\u65f6\uff0c\u6b27\u62c9\u7a33\u5b9a\u95ee\u9898\uff0c\u5f52\u7ed3\u4e3a\u6c42\u89e3\u4e00\u4e2a\u5e7f\u4e49\u7279\u5f81\u503c\u95ee\u9898\u3002<\/p>\n<p>\u4e0a\u5f0f\u662f\u9f50\u6b21\u7ebf\u6027\u4ee3\u6570\u65b9\u7a0b\u7ec4\uff0c\u5176\u6709\u975e\u96f6\u89e3\u7684\u6761\u4ef6\u662f\u7cfb\u6570\u884c\u5217\u5f0f\u7b49\u4e8e0\uff0c\u5373<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-10805 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/12\/BucklingAnalysis_14.gif\" alt=\"\" width=\"158\" height=\"36\" \/> \u00a0 \u00a0 \u00a0 \u00a0<strong>(11.2\u201111)<\/strong><\/p>\n<p>\u5c06\u516c\u5f0f(11.2\u201110)\u53d8\u6362\u4e3a\u6807\u51c6\u7279\u5f81\u503c\u95ee\u9898\uff0c\u5219\u6709<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-10806 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/12\/BucklingAnalysis_15.gif\" alt=\"\" width=\"228\" height=\"44\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<strong>(11.2\u201112)<\/strong><\/p>\n<p>\u5f0f\u4e2d\u5e7f\u4e49\u7279\u5f81\u503c\u4e3a <strong><em>\u03bb<\/em><sub>i<\/sub><\/strong>\uff0c\u5bf9\u5e94\u5c48\u66f2\u5206\u6790\u4e2d\u7684\u5c48\u66f2\u56e0\u5b50\uff0c\u7279\u5f81\u5411\u91cf\u4e3a <strong>\u0394{\u03b4<sub>i<\/sub>} <\/strong>\uff0c\u5bf9\u5e94\u5c48\u66f2\u5206\u6790\u4e2d\u7684\u5c48\u66f2\u6a21\u6001\u3002<\/p>\n<p style=\"text-align: left;\">\u5bf9\u4e8e\u6807\u51c6\u7279\u5f81\u503c\u95ee\u9898\uff0c\u53ef\u91c7\u7528\u4e0a\u4e00\u7ae0\u6a21\u6001\u5206\u6790\u4e2d\u7684\u65b9\u6cd5\u8fdb\u884c\u6c42\u89e3\uff0c\u6b64\u5904\u4e0d\u518d\u8d58\u8ff0\u3002<\/p>\n<p><strong>\u6781\u503c\u7a33\u5b9a<\/strong>\u95ee\u9898\u662f\u5728\u8377\u8f7d\u9010\u6e10\u589e\u5927\u7684\u8fc7\u7a0b\u4e2d\u8fbe\u5230\u67d0\u79cd\u72b6\u6001\u5bfc\u81f4\u53d8\u5f62\u65e0\u9650\u589e\u957f\u800c\u4e27\u5931\u7a33\u5b9a\u6027\uff0c\u5728\u975e\u7ebf\u6027\u6709\u9650\u5143\u5206\u6790\u4e2d\uff0c\u5fc5\u987b\u7528\u589e\u91cf\u6cd5\u6c42\u89e3\u6781\u503c\u7a33\u5b9a\u6027\u95ee\u9898\uff0c\u5373\u662f\u6c42\u4e0b\u5f0f\u7684\u6e10\u8fdb\u89e3<\/p>\n<p style=\"text-align: center;\"><strong><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-10807 alignnone\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2018\/12\/BucklingAnalysis_16.gif\" alt=\"\" width=\"269\" height=\"37\" \/>\u00a0 \u00a0 \u00a0 \u00a0\u00a0(11.2\u201113)<\/strong><\/p>\n<p>\u6781\u503c\u7a33\u5b9a\u6027\u95ee\u9898\u4e00\u822c\u9700\u8981\u8003\u8651<strong>[K\u03c3]<\/strong>\u968f\u5355\u5143\u5e94\u529b\u72b6\u6001\u548c\u5355\u5143\u4f4d\u79fb\u72b6\u6001\u7684\u53d8\u5316\uff0c\u91c7\u7528\u589e\u91cf\u6cd5\u6c42\u89e3\uff0c\u6b64\u5904\u7559\u4f5c\u4ee5\u540e\u8ba8\u8bba\u3002<\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong><span style=\"color: #000000;\">\u76f8\u5173\u5185\u5bb9<\/span>\u00a0<span style=\"color: #0000ff;\">( Related Topics )<\/span><\/strong><\/li>\n<\/ul>\n<p><strong><span style=\"color: #000000;\">[00].<\/span><em><span style=\"color: #ff00ff;\">\u00a0<a style=\"color: #ff00ff;\" href=\"http:\/\/www.jdcui.com\/?page_id=9731\" target=\"_blank\" rel=\"noopener\">[Book][\u4e66] \u6709\u9650\u5355\u5143\u6cd5\uff1a\u7f16\u7a0b\u4e0e\u8f6f\u4ef6\u5e94\u7528<\/a><\/span><\/em><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[01].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=1927\">2D Truss by Matlab [Matlab 2D\u6841\u67b6\u6709\u9650\u5143] (code by myself)<\/a><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[02].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=1945\">3D Truss by MATLAB[MATLAB 3D \u6841\u67b6\u9759\u529b\u5206\u6790] (code by myself)<\/a><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[03].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=8767\">[FEM][\u6709\u9650\u5143][\u7f16\u7a0b][Matlab][Code by myself] FEM Analysis: 2D Truss Element [\u6709\u9650\u5143\u5206\u6790: 2D\u6841\u67b6\u5355\u5143]<\/a><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[04].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=8778\">[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]<\/a><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[05].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=8955\">[FEM][\u6709\u9650\u5143][\u7f16\u7a0b][Matlab][Code by myself] 2D\u526a\u5207\u6881\u5355\u5143<\/a><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[06].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=8977\">[FEM][\u6709\u9650\u5143][\u7f16\u7a0b][Matlab][Code by myself] 2D Timoshenko\u6881\u5355\u5143<\/a><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[07].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=8988\">[FEM][\u6709\u9650\u5143][\u7f16\u7a0b][Matlab][Code by myself] \u4e09\u89d2\u5f62\u5e38\u5e94\u53d8\u5355\u5143(CST)<\/a><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[08].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=8991\">[FEM][\u6709\u9650\u5143][\u7f16\u7a0b][Matlab][Code by myself] \u5e73\u97624\u53d8\u5f62\u5355\u5143(Q4)<\/a><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[09].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=8999\">[FEM][\u6709\u9650\u5143][\u7f16\u7a0b][Matlab][Code by myself] 4\u8282\u70b9\u56db\u9762\u4f53\u5355\u5143(TET4)<\/a><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[10].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=9012\">[FEM][\u6709\u9650\u5143][\u7f16\u7a0b][Matlab][Code by myself] 8\u8282\u70b9\u516d\u9762\u4f53\u5355\u5143(C3D8)<\/a><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[11].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=9087\">[FEM][\u6709\u9650\u5143][\u7f16\u7a0b][Matlab][Code by myself] \u5e73\u97628\u8282\u70b9\u4e8c\u6b21\u201c\u5b8c\u5168\u79ef\u5206\u201d\u5355\u5143(CPS8)<\/a><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[12].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=9115\">[FEM][\u6709\u9650\u5143][\u7f16\u7a0b][Matlab][Code by myself] \u5e73\u97626\u8282\u70b9\u4e8c\u6b21\u201c\u5b8c\u5168\u79ef\u5206\u201d\u5355\u5143(CPS6)<\/a><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[13].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=10718\">[FEM][MATLAB][\u6709\u9650\u5143] FEM Modal Analysis Programming with MATLAB (Truss Element) (\u6841\u67b6\u5355\u5143\u6a21\u6001\u5206\u6790\u7f16\u7a0b)<\/a><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[14].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=10721\">[FEM][MATLAB][\u6709\u9650\u5143] FEM Modal Analysis Programming with MATLAB (Frame Elements) (\u6846\u67b6\u5355\u5143\u6a21\u6001\u5206\u6790\u7f16\u7a0b)<\/a><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[15].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=10724\">[\u529b\u5b66][\u6709\u9650\u5143]Basics of Linear Buckling Analysis [\u7ebf\u6027\u66f2\u5c48\u5206\u6790\u57fa\u7840]<\/a><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[16].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=10726\">[FEM][MATLAB][\u6709\u9650\u5143][\u7f16\u7a0b] FEM Buckling Analysis Programming with MATLAB (Truss Elements) (\u6841\u67b6\u5355\u5143\u66f2\u5c48\u5206\u6790\u7f16\u7a0b)<\/a><\/strong><\/p>\n<p><strong><span style=\"color: #000000;\">[17].<\/span>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=10728\">[FEM][MATLAB][\u6709\u9650\u5143][\u7f16\u7a0b] FEM Buckling Analysis Programming with MATLAB (Frame Elements) (\u6846\u67b6\u5355\u5143\u66f2\u5c48\u5206\u6790\u7f16\u7a0b)<\/a><\/strong><\/p>\n<hr \/>\n<p><center><strong><div  class=\"thumbs-rating-container\" id=\"thumbs-rating-10724\" data-content-id=\"10724\"><button class=\"thumbs-rating-up thumbs-rating-voted\" onclick=\"thumbs_rating_vote(10724, 1);\">Vote Up +11<\/button> <button class=\"thumbs-rating-down thumbs-rating-voted\" onclick=\"thumbs_rating_vote(10724, 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 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>\u5b9e\u5e72\u3001\u5b9e\u8df5\u3001\u79ef\u7d2f\u3001\u601d\u8003\u3001\u521b\u65b0\u3002 \u300a\u6709\u9650\u5355\u5143\u6cd5\uff1a\u7f16\u7a0b\u4e0e\u8f6f\u4ef6\u5e94\u7528\u300b\u00a0\u66f2\u5c48\u5206\u6790\u00a0\u7ae0\u8282\u7684\u5185\u5bb9\u8282\u9009\uff1a 11.1 \u7a33\u5b9a\u95ee\u9898\u5206\u7c7b \u7ed3\u6784\u5931\u7a33\uff08\u5c48\u66f2\uff09\u662f\u6307\u5728\u5916\u529b\u4f5c\u7528\u4e0b\u7ed3\u6784\u7684\u5e73\u8861\u72b6\u6001\u5f00\u59cb\u4e27\u5931\uff0c\u7a0d\u6709\u6270\u52a8\u53d8\u5f62\u4fbf\u8fc5\u901f\u589e\u5927\uff0c\u6700\u540e\u4f7f\u7ed3\u6784\u53d1\u751f\u7834\u574f\u3002\u7a33\u5b9a\u95ee\u9898\u4e00\u822c\u5206\u4e3a\u4e24\u7c7b\uff0c\u7b2c\u4e00\u7c7b\u662f\u7406\u60f3\u5316\u7684\u60c5\u51b5\uff0c\u5373\u8fbe\u5230\u67d0\u79cd\u8377\u8f7d\u65f6\uff0c\u9664\u7ed3\u6784\u539f\u6765\u7684\u5e73\u8861\u72b6\u6001\u5b58\u5728\u5916\uff0c\u8fd8\u53ef\u80fd\u51fa\u73b0\u7b2c\u4e8c\u4e2a\u5e73\u8861\u72b6\u6001\uff0c\u6240\u4ee5\u53c8\u79f0\u5e73\u8861\u5206\u5c94\u5931\u7a33\u6216\u5206\u652f\u70b9\u5931\u7a33 (Buckling, Bifuraction)\uff08\u56fe1\u4e2dOAB\u66f2\u7ebf\uff09\uff0c\u5bf9\u5e94\u4e8e\u6570\u5b66\u4e2d\u662f\u6c42\u89e3\u7279\u5f81\u503c\u95ee\u9898\uff0c\u6545\u53c8\u79f0\u7279\u5f81\u503c\u5c48\u66f2\uff0c\u6b64\u7c7b\u7ed3\u6784\u5931\u7a33\u65f6\u76f8\u5e94\u7684\u8377\u8f7d\u79f0\u4e3a\u5c48\u66f2\u8377\u8f7d\u3002\u7b2c\u4e8c\u7c7b\u662f\u7ed3\u6784\u5931\u7a33\u65f6\uff0c\u53d8\u5f62\u5c06\u8fc5\u901f\u589e\u5927\uff0c\u800c\u4e0d\u4f1a\u51fa\u73b0\u65b0\u7684\u53d8\u5f62\u5f62\u5f0f\uff0c\u53c8\u79f0\u6781\u503c\u70b9\u5931\u7a33(Instability)\uff08\u56fe1\u4e2dOCD\u66f2\u7ebf\uff09\uff0c\u7ed3\u6784\u5931\u7a33\u65f6\u76f8\u5e94\u7684\u8377\u8f7d\u79f0\u4e3a\u6781\u9650\u8377\u8f7d\u3002\u6b64\u5916\u8fd8\u6709\u4e00\u79cd\u8df3\u8dc3\u5931\u7a33(Snap-through)\uff08\u56fe1\u4e2dOEF\u66f2\u7ebf\uff09\uff0c\u5f53\u8377\u8f7d\u8fbe\u5230\u67d0\u503c\u65f6\uff08E\u70b9\uff09\uff0c\u7ed3\u6784\u5e73\u8861\u72b6\u6001\u53d1\u751f\u4e00\u4e2a\u660e\u663e\u7684\u8df3\u8dc3\uff0c\u7a81\u7136\u8fc7\u6e21\u5230\u975e\u4e34\u8fd1\u7684\u53e6\u4e00\u4e2a\u5177\u6709\u8f83\u5927\u4f4d\u79fb\u7684\u5e73\u8861\u72b6\u6001\uff08F\u70b9\uff09\uff0c\u7531\u4e8e\u5728\u8df3\u8dc3\u65f6\u7ed3\u6784\u901a\u5e38\u5df2\u7ecf\u7834\u574f\uff0c\u5176\u540e\u7684\u72b6\u6001\u4e0d\u80fd\u88ab\u5229\u7528\uff0c\u6240\u4ee5\u53ef\u5f52\u5165\u7b2c\u4e8c\u7c7b\u5931\u7a33\u3002 \u56fe 11\u20111 \u7a33\u5b9a\u95ee\u9898 11.2\u00a0\u6700\u5c0f\u52bf\u80fd\u539f\u7406 11.2.1 \u7cfb\u7edf\u7684\u5e73\u8861 \u82e5\u7cfb\u7edf\u5904\u4e8e\u5e73\u8861\u72b6\u6001\uff0c\u5219\u4e00\u5b9a\u5b58\u5728\u4e00\u79cd\u4f4d\u79fb\u72b6\u6001\uff0c\u4f7f\u5f97\u7cfb\u7edf\u603b\u52bf\u80fd\u4e3a\u9a7b\u503c\uff0c\u5373 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (11.2\u20111) \u516c\u5f0f\u4e2d \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 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