应用类桁架模型的连续体拓扑优化方法

为了避免棋盘格、单元铰接等数值不稳定现象,研究了基于类桁架模型的连续体拓扑优化方法.将单元节点处材料密度的大小和方向作为设计变量,采用满应力优化准则对材料密度大小进行优化.为了形成带孔洞的匀质连续体,对设计变量增加了上下限约束,剔除密度低于一定下限的节点,限制节点密度.算例结果表明:不需要进一步处理,就能从类桁架连续体中获得清晰的带孔板.

Continuum Topology Optimization Based on Truss-Like Model

In order to apply the truss-like model in the topology optimization of continuum and to avoid some numerical instability phenomenon like checkerboard and elements hinge, the topology optimization method of continuum based on truss-like model was investigated. The densities and orientations of material at nodes were taken as design variables. The densities of material were optimized by fully-stressed criteria. In order to form homogenous continuum with holes, the material with densities below the given critical value was removed, densities above upper limit are limited. Numerical examples show that plate with distinct holes can be obtained from the truss-like continua without further process.