{"id":3085,"date":"2016-06-06T19:35:53","date_gmt":"2016-06-06T11:35:53","guid":{"rendered":"http:\/\/www.jdcui.com\/?p=3085"},"modified":"2018-03-18T14:00:30","modified_gmt":"2018-03-18T06:00:30","slug":"analysis-of-a-euler-bernoulli-beam-with-ansys-ansys-%e6%ac%a7%e6%8b%89-%e4%bc%af%e5%8a%aa%e5%88%a9%e6%a2%81%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"http:\/\/www.jdcui.com\/?p=3085","title":{"rendered":"Analysis of a Euler\u2013Bernoulli beam with ANSYS [ANSYS \u6b27\u62c9-\u4f2f\u52aa\u5229\u6881\u5206\u6790]"},"content":{"rendered":"<p style=\"padding-left: 30px;\">\u6b27\u62c9\u4f2f-\u52aa\u5229\u6881\u7406\u8bba\uff08<span style=\"color: #0000ff;\">Euler\u2013Bernoulli beam<\/span>\uff09\u53c8\u79f0\u4e3a\u5de5\u7a0b\u6881\u7406\u8bba\uff08<span style=\"color: #0000ff;\">Engineering beam theory<\/span>\uff09\u6216\u8005\u7ecf\u5178\u6881\u7406\u8bba\uff08<span style=\"color: #0000ff;\">Classical beam theory<\/span>\uff09\u3002\u6b27\u62c9\u6881\u4e0d\u8003\u8651\u526a\u5207\u53d8\u5f62\uff0c\u4e0e\u94c1\u6728\u8f9b\u67ef\u6881\uff08<span style=\"color: #0000ff;\">Timoshenko beam<\/span>\uff09\u76f8\u5bf9\u3002\u524d\u9762\u4e00\u7bc7\u535a\u6587\u300a<a href=\"http:\/\/www.jdcui.com\/?p=3040\">Analysis of a Euler\u2013Bernoulli beam with Abaqus [Abaqus\u6b27\u62c9-\u4f2f\u52aa\u5229\u6881\u5206\u6790]<\/a>\u300b\u590d\u4e60\u4e86Abaqus\u4e2d\u5229\u7528\u6b27\u62c9\u6881\u5355\u5143B23\u548cB33\u5355\u5143\u8fdb\u884c\u60ac\u81c2\u6881\u7684\u6a21\u62df\uff0c\u672c\u6587\u63a5\u7740\u770b\u770b\u5728\u00a0ANSYS APDL \u4e2d\u5982\u4f55\u5229\u7528\u6b27\u62c9\u6881\u5355\u5143\u8fdb\u884c\u540c\u6837\u7684\u5206\u6790\u3002<\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u7b97\u4f8b\uff08<span style=\"color: #0000ff;\">Example<\/span>\uff09<\/strong><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3050\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/BEAMAnalysis.png\" alt=\"BEAMAnalysis\" width=\"567\" height=\"189\" \/><\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u6709\u9650\u5143\u6a21\u62df\uff08<span style=\"color: #0000ff;\">FEM Analysis<\/span>\uff09<\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 30px;\">\u00a0\u6574\u4e2a\u60ac\u81c2\u6881\u5728ANSYS APDL\u4e2d\u7684\u5206\u6790\u6b65\u9aa4\u5982\u4e0b\uff1a<\/p>\n<p style=\"padding-left: 30px;\">\uff081\uff09\u5728\u524d\u5904\u7406\u6a21\u5757\u4e2d\u65b0\u5efa\u5355\u5143\u7c7b\u578b\uff08<span style=\"color: #0000ff;\">Create Element Type in Preprocessor\u00a0Module<\/span>\uff09<\/p>\n<p style=\"padding-left: 30px;\">ANSYS\u4e2d\u6b27\u62c9\u6881\u5355\u5143\u53ef\u4ee5\u7528BEAM3\u548c BEAM4\u5355\u5143\u6765\u8003\u8651\uff0c\u7531\u4e8e\u9ad8\u7248\u672c\u7684\u00a0ANSYS APDL \uff08\u8c8c\u4f3c\u662f13\u7248\u672c\u5f00\u59cb\uff09 \u4e0d\u518d\u652f\u6301GUI\u65b9\u5f0f\u8fdb\u884cBEAM3\u548cBEAM4\u5355\u5143\u7684\u5efa\u6a21\uff0c\u9ad8\u7248\u672c\u7684ANSYS GUI \u4e3b\u8981\u652f\u6301\u529f\u80fd\u5f3a\u5927\u7684 BEAM 188 \u548c BEAM189 \u5355\u5143\u3002\u8981\u5efa\u7acbBEAM3\u548cBEAM4\u5355\u5143\uff0c\u53ef\u4ee5\u901a\u8fc7\u547d\u4ee4\u6d41\u7684\u65b9\u5f0f\u3002\u8f93\u5165\u547d\u4ee4\uff1a<span style=\"color: #ff00ff;\"><strong>ET,1,BEAM3\u00a0 <span style=\"color: #000000;\">\uff0c<\/span><\/strong><span style=\"color: #000000;\">\u5b8c\u6210\u5355\u5143\u7c7b\u578b\u7684\u5efa\u7acb\uff1a<\/span><\/span><\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3091\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/ELEMENTTYPE.png\" alt=\"ELEMENTTYPE\" width=\"368\" height=\"363\" \/><\/p>\n<p style=\"padding-left: 30px;\">\uff082\uff09\u5728\u524d\u5904\u7406\u6a21\u5757\u4e2d\u65b0\u5efa\u7ebf\u5f39\u6027\u6750\u6599\uff08<span style=\"color: #0000ff;\">Create Elastic Material in Preprocessor\u00a0Module<\/span>\uff09<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3092\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/ELASTICMATERIAL.png\" alt=\"ELASTICMATERIAL\" width=\"600\" height=\"335\" \/><\/p>\n<p style=\"padding-left: 30px;\">\uff083\uff09\u5728\u524d\u5904\u7406\u6a21\u5757\u4e2d\u5b9a\u4e49\u5355\u5143\u7684\u5b9e\u5e38\u6570\uff08<span style=\"color: #0000ff;\">Create Real Constants for Element\u00a0in Preprocessor\u00a0Module<\/span>\uff09<\/p>\n<p style=\"padding-left: 30px;\">\u540c\u6837\uff0c\u9ad8\u7248\u672c\u7684ANSYS APDL\u4e5f\u4e0d\u652f\u6301GUI\u65b9\u5f0f\u5efa\u7acbBEAM3\u548cBEAM4\u5355\u5143\u7684\u5b9e\u5e38\u6570\uff0c\u53ea\u80fd\u901a\u8fc7\u547d\u4ee4\u6765\u5b9a\u4e49\u3002<\/p>\n<p style=\"padding-left: 30px;\">\u8f93\u5165\u547d\u4ee4\uff1a<span style=\"color: #ff00ff;\">R<strong>, 1,\u00a07960, 173450333.333333\uff0c350\uff0c0\u00a0\u00a0<span style=\"color: #000000;\">\uff0c<\/span><\/strong><span style=\"color: #000000;\">\u5b8c\u6210\u5b9e\u5e38\u6570\u7684\u5efa\u7acb:<\/span><\/span><\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3093\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/REALCONSTANTS.png\" alt=\"REALCONSTANTS\" width=\"324\" height=\"317\" \/><\/p>\n<p style=\"padding-left: 30px;\">\u5176\u4e2d <strong>7960<\/strong> \u4e3a\u622a\u9762\u7684\u9762\u79ef\uff1b<strong>1734503333.333333 <\/strong>\u4e3a\u622a\u9762\u7684\u60ef\u6027\u77e9\uff1b <strong>350<\/strong>\u4e3a\u622a\u9762\u7684\u9ad8\u5ea6\uff0c<strong>0<\/strong>\u8868\u793a\u4e0d\u8003\u8651\u526a\u5207\u6548\u5e94\uff0c\u5355\u5143\u9000\u5316\u4e3a\u6b27\u62c9\u6881\u5355\u5143\u3002<\/p>\n<p style=\"padding-left: 30px;\">\uff084\uff09\u5728\u524d\u5904\u7406\u6a21\u5757\u521b\u5efa\u8282\u70b9\u548c\u5355\u5143\uff08<span style=\"color: #0000ff;\">Create Node and Element\u00a0for Element\u00a0in Preprocessor\u00a0Module<\/span>\uff09<\/p>\n<p style=\"padding-left: 30px;\">\u7531\u4e8e\u6a21\u578b\u8282\u70b9\uff0c\u76f4\u63a5\u5efa\u7acb\u8282\u70b9\uff08Nodes\uff09\u548c\u5355\u5143\uff08Elements)\u3002\u57fa\u672c\u8def\u5f84\u662f\u00a0Preprocessor-&gt;Create-&gt; Nodes \u548c\u00a0Preprocessor-&gt;Create-&gt;Elements\u3002<\/p>\n<p style=\"padding-left: 30px;\">\uff085\uff09\u5728\u524d\u5904\u7406\u6a21\u5757\u521b\u5efa\u7ea6\u675f\u548c\u8282\u70b9\u529b\uff08<span style=\"color: #0000ff;\">Create Nodal Load\u00a0and Constraint\u00a0in Preprocessor\u00a0Module<\/span>\uff09<\/p>\n<p style=\"padding-left: 30px;\">\u65bd\u52a0\u70b9\u529b\u548c\u7ea6\u675f\u3002\u57fa\u672c\u8def\u5f84\u662f\u00a0Preprocessor-&gt;Loads-&gt; Apply-&gt;Structural-&gt;Disp\u548c Preprocessor-&gt;Loads-&gt; Apply-&gt;Structural-&gt;Force\u3002<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3094\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/Model.png\" alt=\"Model\" width=\"594\" height=\"235\" \/><\/p>\n<p style=\"padding-left: 30px;\">\uff085\uff09\u6c42\u89e3\u6709\u9650\u5143\u6a21\u578b\uff08<span style=\"color: #0000ff;\">Solve FEM model in Solution Module<\/span>\uff09<\/p>\n<p style=\"padding-left: 30px;\">\uff086\uff09\u67e5\u770b\u7ed3\u679c\uff08<span style=\"color: #0000ff;\">Check Results<\/span>\uff09<\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u67e5\u770b\u5206\u6790\u7ed3\u679c\uff08<span style=\"color: #0000ff;\">Results<\/span>\uff09<\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 30px;\">\uff081\uff09\u53d8\u5f62\u7ed3\u679c\uff08<span style=\"color: #0000ff;\">Displacement Results<\/span>\uff09<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3095\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/DEFORMEDSHAPE.png\" alt=\"DEFORMEDSHAPE\" width=\"600\" height=\"204\" \/><\/p>\n<p style=\"padding-left: 30px;\">\u6700\u5927\u7684\u7ad6\u5411\u4f4d\u79fb\u4e3a 12.0111 mm\u3002<\/p>\n<p style=\"padding-left: 30px;\">\uff082\uff09 \u622a\u9762\u5e94\u529b\u7ed3\u679c\uff08<span style=\"color: #0000ff;\">Section Stress\u00a0<\/span><span style=\"color: #0000ff;\">Results<\/span>\uff09<\/p>\n<p style=\"padding-left: 30px;\">\u622a\u9762\u5e94\u529b\u7684\u67e5\u770b\u9700\u8981\u901a\u8fc7\u5b9a\u4e49 \u5355\u5143\u8868 \uff08<span style=\"color: #0000ff;\">Element Table<\/span>\uff09\u6765\u67e5\u770b\u3002<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3096\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/SectionStress.png\" alt=\"SectionStress\" width=\"600\" height=\"237\" \/><\/p>\n<p style=\"padding-left: 30px;\">\u622a\u9762\u7684\u6700\u5927\u5e94\u529b\u4e3a 50.4467Mpa\u3002<\/p>\n<p style=\"padding-left: 30px;\">\uff083\uff09\u652f\u5ea7\u53cd\u529b\uff08<span style=\"color: #0000ff;\">Reaction Force<\/span>\uff09<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3097\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/RECTIONFORCE.png\" alt=\"RECTIONFORCE\" width=\"619\" height=\"329\" \/><\/p>\n<ul style=\"list-style-type: square;\">\n<li>\u00a0<strong>\u4e0e\u7406\u8bba\u7ed3\u679c\u5bf9\u6bd4\uff08<span style=\"color: #0000ff;\">Comparison with Theory\u00a0<\/span>\uff09<\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 30px;\">\uff081\uff09\u4f4d\u79fb\u5bf9\u6bd4\uff08<span style=\"color: #0000ff;\">Comparison of displacement\u00a0<\/span>\uff09<\/p>\n<p style=\"padding-left: 30px;\">\u7aef\u90e8\u4f4d\u79fb\u7684\u7406\u8bba\u503c :\u00a0<em>U<\/em>2 = <em>F<\/em>*<em>L<\/em><sup>3<\/sup>\/3<em>EI <\/em>= 10000*5000<sup>3<\/sup>\/(3*200000*173450333.333333) = 12.0111 mm.<\/p>\n<p style=\"padding-left: 30px;\">ANSYS\u7684\u5206\u6790\u7ed3\u679c\u4e3a12.011mm\uff0c\u7b49\u4e8e\u7406\u8bba\u7ed3\u679c\u3002<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3098\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/ANSYSDispResult.png\" alt=\"ANSYSDispResult\" width=\"609\" height=\"369\" \/><\/p>\n<p style=\"padding-left: 30px;\">\uff082\uff09\u622a\u9762\u5e94\u529b\u5bf9\u6bd4\uff08<span style=\"color: #0000ff;\">Comparison of section stress<\/span>\uff09<\/p>\n<p style=\"padding-left: 30px;\">\u7aef\u90e8\u622a\u9762\u7684\u6700\u5927\u5e94\u529b\u4e3a\uff1a\u03c3 = My\/I = 10000*50000*175 \/ (173450333.333333 ) = 50.4467 Mpa<\/p>\n<p style=\"padding-left: 30px;\">ANSYS\u7684\u5206\u6790\u7ed3\u679c\u4e3a50.447Mpa\uff0c\u7b49\u4e8e\u7406\u8bba\u7ed3\u679c\u3002<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3099\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/ANSYSSectionStress.png\" alt=\"ANSYSSectionStress\" width=\"526\" height=\"402\" \/><\/p>\n<hr \/>\n<p><center style=\"line-height: 1.5;\"><strong><div  class=\"thumbs-rating-container\" id=\"thumbs-rating-3085\" data-content-id=\"3085\"><button class=\"thumbs-rating-up thumbs-rating-voted\" onclick=\"thumbs_rating_vote(3085, 1);\">Vote Up +15<\/button> <button class=\"thumbs-rating-down thumbs-rating-voted\" onclick=\"thumbs_rating_vote(3085, 2);\">Vote Down -2<\/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><span style=\"color: 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like this posts, please give me a <span style=\"color: #ff0000;\">&#8220;<em><strong>thumbs up<\/strong><\/em>&#8220;<\/span> rating 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( <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<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6b27\u62c9\u4f2f-\u52aa\u5229\u6881\u7406\u8bba\uff08Euler\u2013Bernoulli beam\uff09\u53c8\u79f0\u4e3a\u5de5\u7a0b\u6881\u7406\u8bba\uff08Engineering beam theory\uff09\u6216\u8005\u7ecf\u5178\u6881\u7406\u8bba\uff08Classical beam theory\uff09\u3002\u6b27\u62c9\u6881\u4e0d\u8003\u8651\u526a\u5207\u53d8\u5f62\uff0c\u4e0e\u94c1\u6728\u8f9b\u67ef\u6881\uff08Timoshenko beam\uff09\u76f8\u5bf9\u3002\u524d\u9762\u4e00\u7bc7\u535a\u6587\u300aAnalysis of a Euler\u2013Bernoulli beam with Abaqus [Abaqus\u6b27\u62c9-\u4f2f\u52aa\u5229\u6881\u5206\u6790]\u300b\u590d\u4e60\u4e86Abaqus\u4e2d\u5229\u7528\u6b27\u62c9\u6881\u5355\u5143B23\u548cB33\u5355\u5143\u8fdb\u884c\u60ac\u81c2\u6881\u7684\u6a21\u62df\uff0c\u672c\u6587\u63a5\u7740\u770b\u770b\u5728 ANSYS APDL 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