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多位移约束下渐进结构拓扑优化设计

谢亚军 荣见华 俞燎宏 朱海锋 李方义

现代制造工程Issue(8):19-28,82,11.
现代制造工程Issue(8):19-28,82,11.DOI:10.16731/j.cnki.1671-3133.2017.08.004

多位移约束下渐进结构拓扑优化设计

Evolutionary structural topology optimization designs with multiple displacement constraints

谢亚军 1荣见华 1俞燎宏 2朱海锋 1李方义3

作者信息

  • 1. 长沙理工大学汽车与机械工程学院,长沙 410076
  • 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,长沙 410114
  • 3. 长沙理工大学工程车辆安全性设计与可靠性技术湖南省重点实验室,长沙 410114
  • 折叠

摘要

Abstract

The Evolutionary Structural Optimization(ESO) method is easily utilized to be programmed,and is of wide engineering applications,and may be adopted to obtain the optimum structure with black and white distribution material property.However,it's difficult to solve the problem of multi-constrained topology optimization by using it.To extend this method to the case of multiconstrained topology optimization,for the problem of topology optimization with multiple displacement constraints,the relationship between the stiffness and the topology variables is built by using the Rational Approximation for Material Properties(RAMP),and a series of approximate models and a smooth dual algorithm are constructed to solve Lagrange multipliers.Then,the calculation formula of element sensitivities and a novel evolutionary structural optimization algorithm are given.Finally,two examples are presented to demonstrate the validity and effectiveness of the proposed method.

关键词

多位移约束/渐进结构优化/拓扑优化/拉格朗日乘子

Key words

multiple displacement constraints/evolutionary structural optimization/topology optimization/Lagrange multiplier

分类

机械制造

引用本文复制引用

谢亚军,荣见华,俞燎宏,朱海锋,李方义..多位移约束下渐进结构拓扑优化设计[J].现代制造工程,2017,(8):19-28,82,11.

基金项目

国家自然科学基金项目(11372055,11302033) (11372055,11302033)

现代制造工程

OA北大核心CSCDCSTPCD

1671-3133

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