{"id":3040,"date":"2016-06-06T10:39:06","date_gmt":"2016-06-06T02:39:06","guid":{"rendered":"http:\/\/www.jdcui.com\/?p=3040"},"modified":"2026-02-15T20:01:37","modified_gmt":"2026-02-15T12:01:37","slug":"analysis-of-a-euler-bernoulli-beam-with-abaqus-abaqus%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=3040","title":{"rendered":"Analysis of a Euler\u2013Bernoulli beam with Abaqus [Abaqus\u6b27\u62c9-\u4f2f\u52aa\u5229\u6881\u5206\u6790]"},"content":{"rendered":"<p>\u590d\u4e60\u6709\u9650\u5143\u77e5\u8bc6\uff0c\u5229\u7528 Abaqus \u8fdb\u884c\u6b27\u62c9-\u4f2f\u52aa\u5229\u6881\u5355\u5143\u7684\u5206\u6790\u3002\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\u3002Abaqus\u4e2d\u7684B23\u548cB33\u5355\u5143\u4e3a\u6b27\u62c9\u6881\u5355\u5143\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>\u91c7\u7528Abaqus\u8fdb\u884c\u5206\u6790\uff0c\u5355\u5143B23\u3002\u57fa\u672c\u6b65\u9aa4\u5982\u4e0b\uff1a<\/p>\n<p>\uff081\uff09\u8bbe\u7f6e\u5de5\u4f5c\u8def\u5f84\u5e76\u521b\u5efa\u6570\u636e\u5e93\uff08<span style=\"color: #0000ff;\">Set Work Directory and Create Model Database<\/span>\uff09<\/p>\n<p>\uff082\uff09\u521b\u5efa\u90e8\u4ef6\uff08<span style=\"color: #0000ff;\">Create Part<\/span>\uff09<\/p>\n<p style=\"padding-left: 20px;\">\u7531\u4e8e\u5206\u6790\u95ee\u9898\u4e3a2D\uff0c\u6a21\u578b\u7a7a\u95f4\u9009\u4e3a 2D Planar\uff1b\u7c7b\u578b\u4e3a Deformable\uff1b\u57fa\u672c\u7279\u6027\u4e3a Wrie\u3002\uff08<span style=\"color: #0000ff;\">As the problem is 2D, set 2D Planar as the Modeling Space, Deformable as the Type and Wire as the Base Feature.<\/span>\uff09<\/p>\n<p style=\"padding-left: 20px;\">\u4f7f\u7528\u70b9\u8fde\u63a5\u7ebf\u547d\u4ee4\u7ed8\u5236\u6881\u7684\u51e0\u4f55\u7279\u6027\uff08<span style=\"color: #0000ff;\">Use the Created-Lines Connected Command to draw the geometry of the beam<\/span>\uff09\u3002<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3046\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/DrawBeamGeometry.png\" alt=\"DrawBeamGeometry\" width=\"600\" height=\"73\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/DrawBeamGeometry.png 789w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/DrawBeamGeometry-768x93.png 768w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/p>\n<p>\uff083\uff09\u521b\u5efa\u6750\u6599 \uff08<span style=\"color: #0000ff;\">Create\u00a0Material<\/span>\uff09<\/p>\n<p style=\"padding-left: 20px;\">\u5728\u5c5e\u6027\u6a21\u5757\u4e0b\uff08<span style=\"color: #0000ff;\"> Property<\/span>\uff09\u5b9a\u4e49\u5f39\u6027\u6750\u6599\uff0c\u8f93\u5165\u5f39\u6027\u6a21\u91cf\u548c\u6cca\u677e\u6bd4\u3002<span style=\"color: #0000ff;\">Under the Property,\u00a0create a elastic material and enter 200000 for Elastic Modulus and 0.3 for Possion&#8217;s Ratio.\uff09<\/span><\/p>\n<p style=\"padding-left: 60px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3048\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/DefineMaterial.png\" alt=\"DefineMaterial\" width=\"551\" height=\"720\" \/><\/p>\n<p style=\"padding-left: 20px;\">\uff084\uff09\u521b\u5efa\u6881\u622a\u9762\u8f6e\u5ed3\uff08<span style=\"color: #0000ff;\">\u00a0Create \u00a0Beam Profile<\/span>\uff09<\/p>\n<p style=\"padding-left: 60px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3051\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/BeamProfile.png\" alt=\"BeamProfile\" width=\"368\" height=\"362\" \/><\/p>\n<p style=\"padding-left: 20px;\">\uff085\uff09\u521b\u5efa\u622a\u9762 \uff08<span style=\"color: #0000ff;\">Create Section<\/span>\uff09<\/p>\n<p style=\"padding-left: 20px;\">\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3053\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/DefineBeamSection.png\" alt=\"DefineBeamSection\" width=\"462\" height=\"577\" \/>\uff086\uff09\u8d4b\u4e88\u622a\u9762 \uff08<span style=\"color: #0000ff;\">Assign\u00a0Section<\/span>\uff09<\/p>\n<p style=\"padding-left: 20px;\">\uff087\uff09\u8d4b\u4e88\u6881\u5355\u5143\u65b9\u5411\u00a0\uff08<span style=\"color: #0000ff;\">Assign\u00a0Beam Orientation<\/span>\uff09<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3054\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/BeamOrientation.png\" alt=\"BeamOrientation\" width=\"600\" height=\"160\" \/><\/p>\n<p style=\"padding-left: 20px;\">\u53ef\u4ee5\u6e32\u67d3\u6881\u76843D\u5f62\u72b6\u68c0\u67e5\u622a\u9762\u5b9a\u4e49\u662f\u5426\u6b63\u786e\uff08<span style=\"color: #0000ff;\">Render the Beam Profile to Check the Orientation<\/span>\uff09<\/p>\n<p style=\"padding-left: 60px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3055\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/RenderBeamProfile.png\" alt=\"RenderBeamProfile\" width=\"600\" height=\"232\" \/><\/p>\n<p style=\"padding-left: 20px;\">\uff088\uff09\u5212\u5206\u90e8\u4ef6\u7f51\u683c \uff08<span style=\"color: #0000ff;\">Mesh Part\uff09<\/span><\/p>\n<p style=\"padding-left: 20px;\">\u00a0\u8d4b\u4e88\u5355\u5143\u7c7b\u578b\uff08Assign Element Type\uff09\uff0c\u5982\u56fe\u9009\u62e9B23\uff0c\u4e3a\u6b27\u62c9\u6881\u5355\u5143\u3002\uff08<span style=\"color: #0000ff;\">Assign Element Type, Select the Linear for the\u00a0Geometric Order, and Cubic formulation for the Beam type.<\/span>\uff09<\/p>\n<p style=\"padding-left: 60px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3057\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/ElementType.png\" alt=\"ElementType\" width=\"600\" height=\"476\" \/><\/p>\n<p style=\"padding-left: 20px;\">\u7f51\u683c\u5212\u5206\uff0c\u672c\u4f8b\u53ea\u5212\u5206\u4e00\u4e2a\u5355\u5143\u3002<\/p>\n<p style=\"padding-left: 60px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3058\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/BEAMMESH.png\" alt=\"BEAMMESH\" width=\"600\" height=\"66\" \/><\/p>\n<p>\uff089\uff09\u5728\u7ec4\u88c5\u6a21\u5757\u4e2d\u521b\u5efa\u5b9e\u4f8b\uff0c\u5c5e\u6027\u9009\u62e9Parts\uff08<span style=\"color: #0000ff;\">Create instance from Parts in Assembly Module<\/span>\uff09\u3002<\/p>\n<p>\uff0810\uff09\u5b9a\u4e49\u8377\u8f7d\u6b65\uff08<span style=\"color: #0000ff;\">Create Load Step<\/span>\uff09<\/p>\n<p style=\"padding-left: 20px;\">\u5b9a\u4e49\u9759\u529b\u5206\u6790\u7528\u7684\u8377\u8f7d\u6b65\uff0c\u7c7b\u578b\u4e3aStatic\uff0cGeneral\uff0c\u4e0d\u8003\u51e0\u4f55\u975e\u7ebf\u6027\u3002\uff08<span style=\"color: #0000ff;\">Defined a new step for static analysis.<\/span>\uff09<\/p>\n<p style=\"padding-left: 60px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3059\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/DefineStep.png\" alt=\"DefineStep\" width=\"539\" height=\"177\" \/><\/p>\n<p>\uff0811\uff09\u5b9a\u4e49\u8377\u8f7d\u548c\u7ea6\u675f \uff08<span style=\"color: #0000ff;\">Define load and constraint<\/span>\uff09<\/p>\n<p style=\"padding-left: 20px;\">\u65bd\u52a0\u56fa\u7aef\u652f\u5ea7\u7ea6\u675f\uff0c\u65bd\u52a0\u8282\u70b9\u529b10000 \u3002<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-3063 aligncenter\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/BoundaryConditioandLoadn.png\" alt=\"BoundaryConditioandLoadn\" width=\"600\" height=\"463\" \/><\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3060\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/DefineConstraintAndLoad.png\" alt=\"DefineConstraintAndLoad\" width=\"600\" height=\"94\" \/><\/p>\n<p>\uff0812\uff09\u5b9a\u4e49\u4efb\u52a1\u5e76\u8fd0\u884c\u5206\u6790 \uff08<span style=\"color: #0000ff;\">Define Job and Submit to Run Analysis<\/span> \uff09<\/p>\n<p>\uff0813\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>\u7ed3\u679c\u5206\u6790\uff08<span style=\"color: #0000ff;\">Results<\/span>\uff09<\/strong><\/li>\n<\/ul>\n<p>\u53ef\u5728Visualization\u6a21\u5757\u6253\u5f00\u5206\u6790\u5b8c\u7684.odb\u6587\u4ef6\u67e5\u770b\u5206\u6790\u7ed3\u679c\u3002<\/p>\n<p>\uff081\uff09\u53d8\u5f62\u7ed3\u679c<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3066\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/DeformedPlot.png\" alt=\"DeformedPlot\" width=\"600\" height=\"185\" \/><\/p>\n<p>\uff082\uff09\u5e94\u529b\u7ed3\u679c<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3069\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/BottomStress.png\" alt=\"BottomStress\" width=\"600\" height=\"212\" \/><\/p>\n<p>\u00a0\uff083\uff09\u652f\u5ea7\u53cd\u529b<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3067\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/RectionForce.png\" alt=\"RectionForce\" width=\"600\" height=\"183\" \/><\/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>\u622a\u9762\u99761\u8f74\u7684\u60ef\u6027\u77e9\u00a0<em>I<\/em>=173450333.333333<\/p>\n<p>\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>Abaqus \u7684\u5206\u6790\u7ed3\u679c<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3071\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/AbaqusResults.png\" alt=\"AbaqusResults\" width=\"600\" height=\"69\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/AbaqusResults.png 1095w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/AbaqusResults-768x88.png 768w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/p>\n<p>U.U2 =\u00a0-12.0284\uff0c\u4e0e\u7406\u8bba\u7ed3\u679c\u76f8\u8fd1\u3002\u9020\u6210\u8fd9\u79cd\u5dee\u522b\u4e3b\u8981\u662fAbaqus\u5185\u90e8\u8ba1\u7b97\u7684\u60ef\u6027\u77e9\u7684\u503c\u4e0e\u7406\u8bba\u503c\u53ef\u80fd\u6709\u5dee\u5f02\u3002<\/p>\n<p><center style=\"line-height: 1.5;\"><div  class=\"thumbs-rating-container\" id=\"thumbs-rating-3040\" data-content-id=\"3040\"><button class=\"thumbs-rating-up thumbs-rating-voted\" onclick=\"thumbs_rating_vote(3040, 1);\">Vote Up +31<\/button> <button class=\"thumbs-rating-down thumbs-rating-voted\" onclick=\"thumbs_rating_vote(3040, 2);\">Vote Down -2<\/button><span class=\"thumbs-rating-already-voted\">You already voted!<\/span><\/div><\/center><\/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","protected":false},"excerpt":{"rendered":"<p>\u590d\u4e60\u6709\u9650\u5143\u77e5\u8bc6\uff0c\u5229\u7528 Abaqus \u8fdb\u884c\u6b27\u62c9-\u4f2f\u52aa\u5229\u6881\u5355\u5143\u7684\u5206\u6790\u3002\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\u3002Abaqus\u4e2d\u7684B23\u548cB33\u5355\u5143\u4e3a\u6b27\u62c9\u6881\u5355\u5143\u3002 \u7b97\u4f8b\uff08Example\uff09 \u6709\u9650\u5143\u6a21\u62df\uff08FEM Analysis\uff09 \u91c7\u7528Abaqus\u8fdb\u884c\u5206\u6790\uff0c\u5355\u5143B23\u3002\u57fa\u672c\u6b65\u9aa4\u5982\u4e0b\uff1a \uff081\uff09\u8bbe\u7f6e\u5de5\u4f5c\u8def\u5f84\u5e76\u521b\u5efa\u6570\u636e\u5e93\uff08Set Work Directory and Create Model Database\uff09 \uff082\uff09\u521b\u5efa\u90e8\u4ef6\uff08Create Part\uff09 \u7531\u4e8e\u5206\u6790\u95ee\u9898\u4e3a2D\uff0c\u6a21\u578b\u7a7a\u95f4\u9009\u4e3a 2D Planar\uff1b\u7c7b\u578b\u4e3a Deformable\uff1b\u57fa\u672c\u7279\u6027\u4e3a Wrie\u3002\uff08As the problem is &#8230;<\/p>\n","protected":false},"author":1,"featured_media":7985,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[336,100,861],"tags":[395,413,414,415,410,292,294,411,293,416,408,409,412],"class_list":["post-3040","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-abaqus","category-fem-","category-simulation-analysis-","tag-abaqus","tag-b23","tag-b33","tag-beam","tag-euler-beam","tag-fem","tag-finite-element-method","tag-timoshenko-beam","tag-293","tag-416","tag-408","tag-409","tag-412"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.1.1 - aioseo.com -->\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"CJD\"\/>\n\t<meta name=\"keywords\" content=\"abaqus,b23,b33,beam,euler beam,fem,finite element method,timoshenko 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