抑制拓扑优化中灰度单元的双重SIMP方法

来源：农业机械学报杂志2015年第11期北京时间：

作者：张志飞,徐 伟,徐中明,贺岩松

单位：重庆大学,重庆大学,重庆大学,重庆大学,

摘要：To suppress grayscale elements in topology optimization for continuum structures, a new doubleSIMP (Solid isotropic microstructures with penalization) method was presented based on standard SIMP approaches. It is found that the SIMP method without sensitivity filter could suppress grayscale elements in the topological structures. Therefore, a twopass method was presented. Firstly, the standard SIMP method with sensitivity filter was employed to generate intermediate design variables; secondly, the SIMP method without sensitivity filter was adopted to update the intermediate design variables again and produce the final solution. Taking simple supported beam as an example, it is successful to apply doubleSIMP method in the topological design of flexible body. According to the results, grayscale elements were suppressed successfully. What is more, the results showed that smaller structural compliance could be obtained through doubleSIMP method. The meshdependence problem of doubleSIMP method was also better. Besides, to suppress the grayscale elements, the standard SIMP method would need to increase the penalty factor. However, the bigger the penalty factor was, the more the iterations were. The doubleSIMP method didnt rely on the penalty factor. Compared with standard SIMP method, there were not extra parameters and constraints in the doubleSIMP method. As a consequence, the applicability is similar between the two kinds of methods.

关键词：连续体结构 拓扑优化 灰度单元 实体各向同性材料惩罚密度法 灵敏度过滤

基金资助：中央高校基本科研业务费专项资金资助项目（CDJZR14115501）