A MODIFIED INTERPOLATION APPROACH FOR TOPOLOGY OPTIMIZATION  

作　　者：Yixian Du Shuangqiao Yan Yan Zhang Huanghai Xie Qihua Tian 

机构地区：[1]College of Mechanical & Power Engineering, China Three Gorges University [2]Key Laboratory of Hydroelectric Machinery Design and Maintenance

出　　处：《Acta Mechanica Solida Sinica》2015年第4期420-430,共11页固体力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.51105229);the National Science Foundation for Distinguished Young Scholars of Hubei Province of China(No.2013CFA022);the Science and Technology Support Program of Hubei Province of China(N0.2015BHE026);the Fund Project of Outstanding Dissertation of China Three Gorges University(No.2014PY026)

摘　　要：In view of the fact that the follow-up search for an optimal topology is affected by deleting a large number of high-relative-density elements. When the typical density interpolation approach, namely, solid isotropic microstructures with penalization （SIMP）, is employed in the continuum structural topology optimization, a new density interpolation approach based on the logistic function is proposed in this paper. This method can weaken low-relative-density elements while enhancing high-relative-density elements by polarization, and then rationally realize polarization of the intermediate density elements. It can reduce the number of gray-scale elements as much as possible to get the optimal topology with distinct boundaries in conjunction with the sensitivity filtering method based on particle swarm optimization （PSO）. Several typical numerical examples are given to demonstrate this method.In view of the fact that the follow-up search for an optimal topology is affected by deleting a large number of high-relative-density elements. When the typical density interpolation approach, namely, solid isotropic microstructures with penalization （SIMP）, is employed in the continuum structural topology optimization, a new density interpolation approach based on the logistic function is proposed in this paper. This method can weaken low-relative-density elements while enhancing high-relative-density elements by polarization, and then rationally realize polarization of the intermediate density elements. It can reduce the number of gray-scale elements as much as possible to get the optimal topology with distinct boundaries in conjunction with the sensitivity filtering method based on particle swarm optimization （PSO）. Several typical numerical examples are given to demonstrate this method.

关 键 词：topology optimization density interpolation approach logistic function gray-scaleelement 

分 类 号：O241.3[理学—计算数学]