关键词: 拓扑优化, 灰度单元, 棋盘格现象, 网格依赖性

Abstract: Constant filter radius sensitivity filtering method could effectively eliminate checkerboard patter and mesh dependence, the optimized results had boundary diffusion, the edges of the graph existed many gray-scale elements.A considering density compensation variable filter radius sensitivity filtering method was proposed as an efficient approach,compensated the elements of relative density in 0.5-1, and reduced element density value in 0-0.5, and gradually reduced the filter radius to 1. Combining the solid isotropic microstructure with penalization model（SIMP）, the classical topology optimization problems were used to prove the superiority of the new method.The experimental results show that the new sensitivity filtering method may eliminate checkerboard patter and mesh independence,then the optimized results have clear boundary, and the optimization efficiency and optimization performance are improved significantly.

Key words: topology optimization, gray-scale element, checkerboard patter, mesh dependence