A Finite Volume Meshless Local Petrov-Galerkin Method for Evolutionary Structural Optimization
In this paper, the finite volume meshless local Petrov-Galekin method (FVMLPG), combining with evolutionary structural optimization method (EFG), is applied to carry out the topology optimization problem of the continuum structure. In FVMLPG method, the finite volume method is combined with the meshless local Petrov-Galekin method, and both stresses as well as displacements are independently interpolated, at randomly distributed points in a local domain, using the moving least squares (MLS) approximation. The nodal values of stresses are expressed in terms of the independently interpolated nodal values of displacements, by simple enforcing the stress-displacement relationships directly. Considering the deletion criterion based on the stresses, the mathematical formulation of the topology optimization is developed. Several numerical examples are used to prove the feasibility of the approach adopted in this paper. And the examples show the simplicity and fast convergence of the proposed method.
finite volume meshless local Petrov-Galerkin method (FVMLPG) evolutionary structural optimization (ESO) stress criterion
Zheng Juan Long Shuyao Li Guangyao
State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, Hunan University, Changsha State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, Hunan University, Changsha
国际会议
南京
英文
79-89
2009-10-12（万方平台首次上网日期，不代表论文的发表时间）