An Adaptive Design Domain Topology Optimization Method Based on Improved Quadtree and SBFEM
Aiming at the problems of high computational cost of large-scale structure topology op-timization and low solving accuracy of solid isotropic material with penalization(SIMP)at the opti-mized structure boundary,an adaptive design domain(ADD)topology optimization method was pro-posed based on SIMP.The improved quadtree method was applied in the processes of topology optimi-zation 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 significant-ly 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 to-pology optimization in subsequent processes.
topology optimizationimproved quadtree methodscaled boundary finite element method(SBFEM)grid adaptation
万方数据
维普
