基于混合式过滤策略的结构拓扑优化方法  

Structural Topology Optimization Based on the Improved Hybrid Filter Method

作　　者：欧阳华兵[1] 

机构地区：[1]上海电机学院机械学院,上海

出　　处：《机械工程与技术》2019年第6期466-475,共10页Mechanical Engineering and Technology

基　　金：上海市高峰高原学科(No. A1-5701-18-007-03);上海市教育委员会科研创新项目资助(14YZ158)。

摘　　要：为了有效解决拓扑优化过程中所存在的棋盘格与灰度单元等数值不稳定问题,提出一种基于混合式过滤策略的结构拓扑优化方法。该方法首先构建了基于混合式拓扑优化密度插值模型,保证了其在设计域的连续性,从数学本质上可消除棋盘格现象;然后在传统优化准则中叠加灰度过滤策略,提出一种灵敏度过滤和灰度过滤相结合的改进过滤技术,从而实现结构的拓扑更新,该方法能有效抑制灰度单元;最后通过三个典型数值算例进一步验证了本文方法的可行性和有效性。In order to effectively solve the numerical instability problems of topology optimization, such as checkerboard and grayscale elements, a new structural topology optimization method based on improved hybrid filter method is proposed. Firstly, a density interpolation model based on bi-linear function is constructed. It eliminates the checkerboard phenomenon from the mathematical essence because of its continuity in the design domain;Secondly, a grayscale filtering strategy is imposed on the traditional optimization criterion, and an improved filtering technique combining sensitivity filtering and grayscale filtering is also proposed. Based on the method, the topology structure is updated and the gray unit can be effectively suppressed. Finally, the feasibility and effectiveness of the method are verified by three typical numerical examples.

关 键 词：变密度法 插值模型 结构拓扑优化 敏度过滤 灰度过滤 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]