(本科生作业题有限元及答案.doc

作业内容： 基结构为100mm×100mm×100mm的三维正方体，弹性模量E=210×103MPa，泊松比=0.3，密度=7.8×10-6 kg /mm3，集中力P=30000N，作用于上表面中间一个节点，下边界四个角点采用固定支撑，划分10×10×10个体单元，要求建模后求出von 米塞斯应力最大值与位移的最大变形值。 Project 正方体的有限元建模与变形分析 计算分析模型如图所示, 习题文件名: cube 5.1 进入ANSYS 程序 →Ansys →Interactive →change the working directory into yours →input Initial jobname: cube→Run 5.2设置计算类型 ANSYS Main Menu: Preferences →select Structural → OK 5.3选择单元类型 ANSYS Main Menu: Preprocessor →Element Type→Add/Edit/Delete →Add →select Solid Brick 8node 45 →OK (back to Element Types window) → OK→Close (the Element Type window) 5.4定义材料参数 ANSYS Main Menu: Preprocessor →Material Props →Material Models →Structural →Linear →Elastic →Isotropic →input EX:2.1e11, PRXY:0.3 → OK 5.5生成几何模型 生成立体 ANSYS Main Menu: Preprocessor →Modeling →Create →Volumes→Block→依次输入三个点的坐标：input:1(0,0.1),2(0,0.1), 3(0,0.1) →OK 5.6 网格划分 ANSYS Main Menu: Preprocessor →Meshing →Mesh Tool → (Size Controls) lines: Set →Pick All(in Picking Menu) →input NDIV:10 →OK→(back to the mesh tool window)Mesh: Columes, Shape:HEX, Free →Mesh →Pick All (in Picking Menu) → Close( the Mesh Tool window) 5.8 模型施加约束 给模型施加底面方向约束 ANSYS Main Menu: Solution →Define Loads →Apply →Structural →Displacement → On Nodes →拾取底边四个顶点：All Dof →OK 施加y方向的载荷 ANSYS Main Menu: Solution →Define Loads →Apply →Structural →Force→ On node→Pick ———OK →VALI:-3000 → OK 5.9 分析计算 ANSYS Main Menu: Solution →Solve →Current LS →OK(to close the solve Current Load Step window) →OK 5.10 结果显示 ANSYS Main Menu: General Postproc →Plot Results →Deformed Shape… → select Def + Undeformed →OK (back to Plot Results window) →Contour Plot →Nodal Solu →select: DOF solution, UX,UY, Def + Undeformed →(back to Plot Results window) Stress→Von Mises Stress-----OK Def + Undeformed 最大变形为0.478E-5 DOF solution, UX DOF solution, UY Von Mises Stress，最大值为0.457e+08 5.11 退出系统 ANSYS Utility Menu: File→ Exit →Save Everything→OK Log文件 /BATCH /COM,ANSYS RELEASE 10.0 U 11:21:26