{"id":3295,"date":"2016-07-08T23:17:06","date_gmt":"2016-07-08T15:17:06","guid":{"rendered":"http:\/\/www.jdcui.com\/?p=3295"},"modified":"2018-03-18T13:28:06","modified_gmt":"2018-03-18T05:28:06","slug":"modal-analysis-of-a-frame-using-ansysansys%e6%a1%86%e6%9e%b6%e6%a8%a1%e6%80%81%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"http:\/\/www.jdcui.com\/?p=3295","title":{"rendered":"Modal analysis of a frame using ANSYS (ANSYS\u6846\u67b6\u6a21\u6001\u5206\u6790)"},"content":{"rendered":"<p style=\"padding-left: 30px;\">ANSYS\u00a0\u6846\u67b6\u7ed3\u6784\u6a21\u6001\u5206\u6790\u7ec3\u4e60\u3002(<span style=\"color: #0000ff;\">This is a small example to\u00a0outline the steps required to do a simple modal analysis of a frame structure using ANSYS.<\/span>)<\/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-3221\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/ProblemDescription_Blog.png\" alt=\"ProblemDescription_Blog\" width=\"596\" height=\"347\" \/><\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>ANSYS\u6709\u9650\u5143\u6a21\u62df\uff08<span style=\"color: #0000ff;\">FEM Analysis with ANSYS<\/span>\uff09<\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 30px;\">\u8fd9\u4e2a\u95ee\u9898\u53ef\u4ee5\u5f88\u7b80\u5355\u7684\u901a\u8fc7\u547d\u4ee4\u6d41\u7684\u65b9\u5f0f\u8fdb\u884c\u5efa\u6a21\uff0c\u5982\u4e0b\u7ed9\u51fa\u5177\u4f53\u7684\u547d\u4ee4\u6d41\uff1a<\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #ff00ff;\"><strong>FINISH<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>\/CLEAR<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>\/TITLE,Modal analysis of a frame<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>\/PREP7<\/strong><\/span><\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #808080;\"><strong>!Element type<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>ET,1,BEAM4<\/strong><\/span><\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #808080;\"><strong>!Material<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>MP,EX,1,32500<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>MP,PRXY,1,0.2<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>MP,DENS,1,2.403E-09<\/strong><\/span><\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #808080;\"><strong>!Real for beam 200X500<\/strong><\/span><br \/>\n<span style=\"color: #808080;\"> <strong>!R,NO,AREA,IZZ,IYY,TKZ,TKY,THETA<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>R,1,100000,3.333E+08,2.083E+09,500,200,<\/strong><\/span><br \/>\n<span style=\"color: #808080;\"><strong>!ISTRAIN,IXX,SHEARZ,SHEARY<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>RMORE,0,9.981E+08,0,0<\/strong><\/span><\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #808080;\"><strong>!Real for Column 600X600<\/strong><\/span><br \/>\n<span style=\"color: #808080;\"> <strong>!R,NO,AREA,IZZ,IYY,TKZ,TKY,THETA<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>R,2,360000,1.080E+10,1.080E+10,600,600,<\/strong><\/span><br \/>\n<span style=\"color: #808080;\"><strong>!ISTRAIN,IXX,SHEARZ,SHEARY<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>RMORE,0,1.825E+10,0,0<\/strong><\/span><\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #808080;\"><strong>!Nodes<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,1,-3000,-3000,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,2,-3000,-3000,3000<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,3,-3000,-3000,6000<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,4,-3000,-3000,9000<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,5,-3000,3000,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,6,-3000,3000,3000<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,7,-3000,3000,6000<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,8,-3000,3000,9000<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,9,3000,-3000,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,10,3000,-3000,3000<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,11,3000,-3000,6000<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,12,3000,-3000,9000<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,13,3000,3000,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,14,3000,3000,3000<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,15,3000,3000,6000<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,16,3000,3000,9000<\/strong><\/span><\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #808080;\"><strong>!Direction Nodes<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,41,-3000,-3000,12000<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,161,3000,3000,12000<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,91,6000,-3000,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>N,131,6000,3000,0<\/strong><\/span><\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #808080;\"><strong>!Column elements<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>REAL,2<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,1,1,2,91<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,2,2,3,91<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,3,3,4,91<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,4,5,6,131<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,5,6,7,131<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,6,7,8,131<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,7,9,10,91<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,8,10,11,91<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,9,11,12,91<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,10,13,14,131<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,11,14,15,131<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,12,15,16,131<\/strong><\/span><\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #808080;\"><strong>!Beam elements<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>REAL,1<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,13,2,10,41<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,14,3,11,41<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,15,4,12,41<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,16,6,14,161<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,17,7,15,161<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,18,8,16,161<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,19,2,6,41<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,20,3,7,41<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,21,4,8,41<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,22,10,14,161<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,23,11,15,161<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>EN,24,12,16,161<\/strong><\/span><\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #808080;\"><strong>!Displacement boundary conditions<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,1,UX,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,1,UY,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,1,UZ,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,1,ROTX,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,1,ROTY,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,1,ROTZ,0<\/strong><\/span><\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #ff00ff;\"><strong>D,5,UX,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,5,UY,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,5,UZ,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,5,ROTX,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,5,ROTY,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,5,ROTZ,0<\/strong><\/span><\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #ff00ff;\"><strong>D,9,UX,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,9,UY,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,9,UZ,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,9,ROTX,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,9,ROTY,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,9,ROTZ,0<\/strong><\/span><\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #ff00ff;\"><strong>D,13,UX,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,13,UY,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,13,UZ,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,13,ROTX,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,13,ROTY,0<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>D,13,ROTZ,0<\/strong><\/span><\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #ff00ff;\"><strong>FINISH<\/strong><\/span><\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #808080;\"><strong>!Analysis options<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>\/SOLU<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>ANTYPE,2<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>MODOPT,LANB,12,,,,1<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>MXPAND,12,,,YES<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>LUMPM,ON<\/strong><\/span><\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #808080;\"><strong>!Solve<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>SOLVE<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>FINISH<\/strong><\/span><\/p>\n<p style=\"padding-left: 60px;\"><span style=\"color: #808080;\"><strong>!Post process<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>\/POST1<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>SET,LIST<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>SET,1,1<\/strong><\/span><br \/>\n<span style=\"color: #ff00ff;\"><strong>PLDISP,1<\/strong><\/span><\/p>\n<p style=\"padding-left: 30px;\">\u8f93\u5165\u4ee5\u4e0a\u547d\u4ee4\u6d41\uff0c\u8fd0\u884c\u5206\u6790\uff0c\u5373\u53ef\u83b7\u5f97\u5206\u6790\u7ed3\u679c\u3002<\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u67e5\u770b\u5206\u6790\u7ed3\u679c\uff08<span style=\"color: #0000ff;\">Check\u00a0Results<\/span>\uff09<\/strong><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3303\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/07\/MODE1.png\" alt=\"MODE1\" width=\"603\" height=\"453\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3304\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/07\/MODE2.png\" alt=\"MODE2\" width=\"601\" height=\"454\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3305\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/07\/MODE3.png\" alt=\"MODE3\" width=\"601\" height=\"452\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3306\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/07\/ModeList.png\" alt=\"ModeList\" width=\"447\" height=\"354\" \/><\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u4e0eSAP2000\u5206\u6790\u7ed3\u679c\u5bf9\u6bd4\uff08<span style=\"color: #0000ff;\">Comparison with SAP2000\u00a0results\u00a0<\/span>\uff09<\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 30px;\">SAP2000\u4e2d\u5efa\u7acb\u6b27\u62c9\u6881\u5355\u5143\u6a21\u578b\uff0c\u53c2\u89c1\u535a\u6587 \uff1a\u300a<a href=\"http:\/\/www.jdcui.com\/?p=3219\">Modal analysis of a frame using Abaqus (Abaqus\u6846\u67b6\u6a21\u6001\u5206\u6790)<\/a>\u300b<\/p>\n<p style=\"padding-left: 30px;\">SAP2000\u5206\u6790\u7ed3\u679c\uff1a<\/p>\n<p style=\"padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3243\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2016\/06\/SAP2000Freq.png\" alt=\"SAP2000Freq\" width=\"606\" height=\"337\" \/><\/p>\n<p style=\"padding-left: 30px;\">\u4ece\u4ee5\u4e0a\u5bf9\u6bd4\u53ef\u89c1\uff0cSAP2000\u7684\u5206\u6790\u7ed3\u679c\u4e0eANSYS\u7684\u5206\u6790\u7ed3\u679c\u4e00\u81f4\u3002<\/p>\n<ul style=\"list-style-type: square;\">\n<li><strong>\u76f8\u5173\u535a\u6587<span style=\"color: #0000ff;\">( Related Posts)<\/span><\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 30px;\">[01].\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=3112\">Torsion analysis by thermal analogy with ANSYS (ANSYS\u70ed\u6bd4\u62df\u626d\u8f6c\u5e94\u529b\u5206\u6790)<\/a><\/p>\n<p style=\"padding-left: 30px;\">[02].\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=3085\">Analysis of a Euler\u2013Bernoulli beam with ANSYS [ANSYS \u6b27\u62c9-\u4f2f\u52aa\u5229\u6881\u5206\u6790]<\/a><\/p>\n<hr \/>\n<p><center style=\"line-height: 1.5;\"><div  class=\"thumbs-rating-container\" id=\"thumbs-rating-3295\" data-content-id=\"3295\"><button class=\"thumbs-rating-up thumbs-rating-voted\" onclick=\"thumbs_rating_vote(3295, 1);\">Vote Up +19<\/button> <button class=\"thumbs-rating-down\" onclick=\"thumbs_rating_vote(3295, 2);\">Vote Down -0<\/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><span style=\"color: #000000;\">\u6ce8\u91ca<\/span>\u00a0<span style=\"color: #0000ff;\">( Comments\u00a0)<\/span><\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 30px; text-align: left;\">\u00a0\u00a0(<span style=\"color: #000000;\">\u00a0\u00a0<span style=\"color: #ff00ff;\">\u5927\u5bb6\u4e00\u8d77\u5b66\u4e60\u6709\u9650\u5143!!!!<\/span> \u5982\u6709\u9519\u6f0f\uff0c\u6b22\u8fce\u6279\u8bc4\u6307\u6b63\u3002\u90ae\u7bb1\uff1a<span style=\"color: #0000ff;\">jidong_cui@163.com .\u00a0\u5982\u679c\u4f60\u559c\u6b22\u8fd9\u7bc7\u535a\u6587\uff0c\u8bf7\u5728\u4e0a\u9762\u7ed9\u6211\u00a0<span style=\"color: #ff0000;\"><strong>\u70b9\u4e2a\u8d5e\u00a0<\/strong><\/span>\u5427\uff01 \ud83d\ude42 \u00a0 \ud83d\ude42 \u00a0 :-<\/span>)<\/span><\/p>\n<p style=\"padding-left: 30px; text-align: left;\">\u00a0\u00a0(<span style=\"color: #0000ff;\">\u00a0If \u00a0you have found any problem about this post,\u00a0please don&#8217;t\u00a0hesitate to contact me directly.Email :\u00a0jidong_cui@163.com.\u00a0If you 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>ANSYS \u6846\u67b6\u7ed3\u6784\u6a21\u6001\u5206\u6790\u7ec3\u4e60\u3002(This is a small example to outline the steps required to do a simple modal analysis of a frame structure using ANSYS.)<\/p>\n","protected":false},"author":1,"featured_media":7974,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[417,382,157,100,254,5],"tags":[418,452,383,410,292,139,446,280,443,293,442,140,409,445,444],"class_list":["post-3295","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ansys","category-dynamics-","category-earthquake-engineering-","category-fem-","category-reinforced-concrete-","category-structural-engineering","tag-ansys","tag-apdl","tag-dynamics","tag-euler-beam","tag-fem","tag-modal-analysis","tag-sap2000","tag-280","tag-443","tag-293","tag-442","tag-140","tag-409","tag-445","tag-444"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - 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=\"ansys,apdl,dynamics,euler 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