关键词: 拓扑优化, 改进四叉树法, 比例边界有限元法, 网格自适应

Abstract: Aiming at the problems of high computational cost of large-scale structure topology optimization and low solving accuracy of solid isotropic material with penalization(SIMP) at the optimized structure boundary, an adaptive design domain(ADD) topology optimization method was proposed based on SIMP. The improved quadtree method was applied in the processes of topology optimization to reduce the computational burden and improve the solution accuracy at the boundaries through different levels of grid cell. The SBFEM was used to calculate the finite element information of the partitioned structures in real-time, solving the problem of hanging nodes between different level cells. The proposed method might obtain more accurate results with fewer initial grids and significantly reduce the computational cost. Numerical example results demonstrate that, with the same final structural boundary accuracy, the proposed method may reduce the computation time to 1/100 of the original at most, offering a reference for reducing the computational cost of large-scale structural topology optimization in subsequent processes.

Key words: topology optimization, improved quadtree method, scaled boundary finite element method(SBFEM), grid adaptation