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基于整体应变的柔顺机构多目标拓扑优化设计

孙楷 薄瑞峰 路建鹏 李瑞琴

工程设计学报Issue(6):575-580,6.
工程设计学报Issue(6):575-580,6.DOI:10.3785/j.issn.1006-754X.2015.06.010

基于整体应变的柔顺机构多目标拓扑优化设计

Multi-objective topology optimization of design compliant mechanisms based on global strain

孙楷 1薄瑞峰 1路建鹏 1李瑞琴1

作者信息

  • 1. 中北大学机械与动力工程学院,山西太原 030051
  • 折叠

摘要

Abstract

To overcome the disadvantages of the traditional topology optimization method ,a global effective strain based multi‐objective topology optimization method of compliant mechanisms was presented .Under this method ,a global effective strain function was minimized to represent structural rigidity ,rather than minimizing the strain energy as the objective function .Thus the strain could be well distributed within the whole mechanism ,instead of concentrating on compli‐ant joints to cause a localized high strain .Considering the requirement of rigidity and flexibility on compliant mechanism ,the multi‐objective topology optimization problem that defined the ob‐jective as minimizing the global effective strain and maximizing mutual strain energy was estab‐lished .Based on the solid isotropic material with penalization approach , the compromise pro‐gramming method was used to study the multi‐objective optimization problem of compliant mech‐anisms .The sensitivity of the objective functions was analyzed by the adjoint metrix method . The multi‐objective topology optimization problem was solved using the algorithm of moving as‐ymptotes .Finally ,this method was further investigated and realized with a numerical example to show its correctness and effectiveness .The results show that the global effective strain based to‐pology optimization method can effectively reduce localized high strain of the traditional method to improve the reliability of the compliant mechanism .

关键词

柔顺机构/多目标拓扑优化/整体有效应变/应变能

Key words

compliant mechanism/multi-objective topology optimization/global effective strain/strain energy

分类

信息技术与安全科学

引用本文复制引用

孙楷,薄瑞峰,路建鹏,李瑞琴..基于整体应变的柔顺机构多目标拓扑优化设计[J].工程设计学报,2015,(6):575-580,6.

基金项目

国家自然科学基金资助项目(51275486);山西省回国留学人员科研资助项目(2014050);山西省国际科技合作项目(2015081016). ()

工程设计学报

OA北大核心CSCDCSTPCD

1006-754X

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