一种新的多输入多输出柔顺机构拓扑优化方法  

A new topology optimization method for multi-input-multi-output compliant mechanisms

作　　者：荣见华[1,2] 彭罗 易继军[1,2] 曹浩 RONG Jian-hua;PENG Luo;YI Ji-jun;CAO Hao(School of Automotive and Mechanical Engineering,Changsha University of Science&Technology,Changsha 410114,China;Key Laboratory of Lightweight and Reliability Technology for Engineering Vehicle,College of Hunan Province,Changsha University of Science&Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学汽车与机械工程学院,湖南长沙410114 [2]长沙理工大学工程车辆轻量化与可靠性技术湖南省高校重点实验室,湖南长沙410114

出　　处：《长沙理工大学学报（自然科学版）》2021年第1期66-78,共13页Journal of Changsha University of Science and Technology:Natural Science

基　　金：国家自然科学基金资助项目(11772070,11372055);中国建筑第五工程局有限公司科研项目(3030402)。

摘　　要：针对多输入多输出柔顺机构的输出位移最大化拓扑优化问题,提出了一种新的拓扑优化求解方法。首先,引入柔顺度的小量变化约束函数来处理柔顺机构拓扑优化的病态载荷问题和类铰链问题。基于传统界限公式法思路,通过一个界限变量将多个输出位移最大化目标等效转化为多个约束条件,构建了一种新的多输入多输出柔顺机构拓扑优化的界限公式模型。然后,结合变体积约束限技术、密度过滤技术、Heaviside映射技术、固体各向同性材料插值方法及光滑对偶求解算法,提出了一种新的多输入多输出柔顺机构拓扑优化方法。算例计算结果表明:相对于现有方法,本研究提出的方法获得的最终拓扑不仅清晰,不含类铰链,且具有更大的输出位移。A new topology optimization method was proposed to maximize the output displacements of multi-input-multi-output compliant mechanisms.Firstly,a constraint function on the small quantity change of the compliance was introduced to deal with the ill-c onditioned loads and hinge-like problems of topological optimization of multi-input-multi-o utput compliant mechanisms.Based on the idea of the traditional bound formula method,a new bound formula model for topology optimization of multi-input-multi-output compliant mechanisms was constructed by equivalently transforming multiple output displacement maximization objectives into multiple constraints through a bound variable.Secondly,combining with the varied volume constraint scheme,density filtering technology,Heaviside mapping technology,solid isotropic material interpolation method and the smooth dual algorithm,a new topology optimization method for multi-input-multi-output compliant mechanisms was proposed.The calculating results of the examples show that,compared with the existing method,the final topology obtained by proposed method is not only clear,free of hinges,but also has a larger output displacement.

关 键 词：多输入多输出柔顺机构 拓扑优化 界限公式法 多目标优化 

分 类 号：TH122[机械工程—机械设计及理论]