三角形悬臂梁应力分析

1、 11/11三角形悬臂梁应力分析摘要：在有限元分析软件ANSYS12.0平台上建立三角形悬臂梁的力学模型，添加约束和载荷，计算出应力分布，并与理论计算值相比较。引言目前，ANSYS软件具有其强大的功能已经被广泛的应用于机械，化工，土木，交通等各个领域。应用ANSYS分析，可以大大减少人力物力的投入，而且可靠性高，对于三角形悬臂梁分析其应力和变形情况，分析方法和结论可作为这类设计的参考。计算模型 问题描述【三角形悬臂梁忽略重力作用，BAC=，AB 边上作用均布载荷q，求应力的解析表达，计算出BC 边上的应力值并与ANSYS 计算值比较，绘出应力曲线图】选取应力函数：Ansys 计算参数值：AB=

2、1000mm，=30，厚度t=20mm解析解根据弹塑性平面问题的极坐标解答，利用以下公式推导：以及已知，故有以下式子成立：所以，因此， 由边界,即当，；带入的表达式中可得：将C带入表达式中得： Ansys计算问题详细说明：取AB=1000mm，,厚度t=20mm，。解题过程：前处理，设置材料属性，E=200e3，泊松比，单元类型为solid 20 node 95；建立几何模型，有点生成面，再由面生成体；单元网格划分为三角形。加载求解，加约束，面约束，加载荷，均布载荷，并求解。后处理结果分析 变形图计算云图等效应力曲线与理论值相比较，利用ANSYS计算的结果很接近于理论值，采用有限元法对悬臂梁进

3、行应力分析具有很高的效率和可靠性。参考文献S.P. Timoshenko J.N.Goodier，Theory of Elasticity,，清华大学,2004.X相新，孟宪颐，ANSYS基础与应用教程， ，科学，2006.王金龙，王清明，王伟章，ANSYS12.0有限元分析与X例解析，机械工业，2010.LOG文件：/BATCH /,ANSYS RELEASE 12.0.1 UP20090415 11:33:07 01/11/2012!* /NOPR /PMETH,OFF,0KEYW,PR_SET,1 KEYW,PR_STRUC,1 KEYW,PR_THERM,0 KEYW,PR_FLUID

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