考虑位移约束的连续体结构无网格拓扑优化研究方法

In this paper, the element free Galerkin method (EFG) is applied to carry out the topology optimization of a continuum structure. Considering the relative density at Gauss quadrature points as design variables, and the minimization of weight as an objective function, the mathematical formulation of the topology optimization subjected to displacement constraints is developed using the SIMP(solid isotropic microstructures with penalization) interpolation scheme. The filtering technique of sensitivity is applied to eliminate the checkerboard pattern with the point state. Several numerical examples are used to prove the feasibility of the approach adopted in this paper.