基于满应变准则的受应力约束三维弹性体拓扑优化  

Topological optimization of stress restrained 3D elastic body based on full-strain criterion

作　　者：刘齐茂[1] 唐咸远[1] 

机构地区：[1]广西工学院土木建筑系,广西柳州545006

出　　处：《机械设计》2006年第4期16-18,共3页Journal of Machine Design

基　　金：广西自然科学基金资助项目(桂科自0481007);广西工学院青年科学资金资助项目(500204)

摘　　要：提出一种受应力约束三维弹性体的拓扑优化方法:修改的满应变法,即通过反复迭代修改单元的弹性模量,使三维弹性体的每个单元均处于一种满应变的状态,然后删除弹性模量较低的单元,通过逐渐删除弹性模量较低的单元,使单元最大弹性模量逐渐接近于材料实际的弹性模量,同时单元的最大应力也逐渐接近于材料的许可应力,从而获得满足应力约束条件的三维弹性体的最优拓扑。同时引入结构描述数组的概念,很方便地实现单元的重新划分。数值结果表明该方法很有效,且具有很好的通用性和稳健性。A kind of topological optimization method for stress restrained 3D elastic body has been put forward. The modified full-strain method is; by means of repeatedly modifying the modulus of elasticity of y unit of the 3D elastic body be the unit by iteration to let every unit of the 3D elastic body be in a kind of full-strain status, and then eliminate the unit with rather low modulus of elasticity, through eliminate gradually the unit of fairly low modulus of elasticity to let the unit with maximum modulus of elasticity be gradually approached to the actual modulus of elasticity of the material, and at the same time the maximum stress of the unit is gradually approaching to the allowable stress of the material, thus obtained the optimal topology of the 3D elastic body that satisfies the stress constraint condition. The concept of structural descriptive array was introduced at the same time to let the re-differentiation of unit be conveniently realized. The result of numerical value shows that this method is very effeetire and possessing pretty good generality and steadiness.

关 键 词：满应变法 拓扑优化 三维弹性体 应力约束 

分 类 号：O342[理学—固体力学]