结构拓扑优化中棋盘格抑制方法的研究  

Research of the Checkerboard Pattern Suppression Method in Structural Topological Optimization

作　　者：豆麟龙[1] 尹益辉[1] 刘远东[1] 

机构地区：[1]中国工程物理研究院总体工程研究所,四川绵阳621900

出　　处：《应用数学和力学》2014年第8期920-929,共10页Applied Mathematics and Mechanics

基　　金：中国工程物理研究院总体所创新与发展基金(13cxj06)对本文的资助

摘　　要：针对棋盘格过滤技术中单元权重系数的计算,对已有文献中的棋盘格抑制方法进行改进,提出了物理意义明确且更具一般性的公式.建立含应力约束的弹塑性拓扑优化模型,将改进的棋盘格抑制方法用于弹塑性结构拓扑优化,采用ESO(evolutionary structural optimization)法进行优化.编程实现了两个数值算例,对算例结果分析表明:改进的棋盘格抑制方法具有更好的抑制效果,且该方法并不局限于材料线性范围的拓扑优化,也适用于进行材料非线性的拓扑优化时棋盘格的抑制.Aimed at the calculation of elements＇ weight coefficients in the checkerboard pattern filtering technique,a previous checkerboard pattern suppression method was improved,and a more generalized weight coefficient formula with more specific physical meanings was proposed. The topological optimization model,in which the material elasto-plastic deformation was considered,was established under stress constraint conditions,and the improved checkerboard pattern suppression method was employed in the structural topological optimization process with the ESO method. Two numerical examples were implemented. The results showthat the improved checkerboard pattern suppression method has better suppression effects than the previous one,and is applicable to the topological optimization of not only linear-material structures,but also nonlinear-material structures.

关 键 词：权重系数 棋盘格 结构拓扑优化 弹塑性材料 ESO法 

分 类 号：O342[理学—固体力学]