航空学报 > 2015, Vol. 36 Issue (2): 518-526   doi: 10.7527/S1000-6893.2014.0035

考虑多点保形的结构拓扑优化设计方法

朱继宏, 李昱, 张卫红, 侯杰   

  1. 西北工业大学 工程仿真与宇航计算技术实验室, 西安 710072
  • 收稿日期:2014-03-12 修回日期:2014-03-31 出版日期:2015-02-15 发布日期:2014-04-09
  • 通讯作者: 朱继宏 Tel.: 029-88493914-1222 E-mail: jh.zhu@nwpu.edu.cn E-mail:jh.zhu@nwpu.edu.cn
  • 作者简介:朱继宏 男,教授,博士生导师。主要研究方向:结构优化设计。Tel:029-88493914-1222 E-mail:jh.zhu@nwpu.edu.cn;李昱 男,博士研究生。主要研究方向:结构变形行为设计。Tel:029-88493914-1222 E-mail:liyu@mail.nwpu.edu.cn;张卫红 男,教授,博士生导师。主要研究方向:多学科优化设计。Tel:029-88495774 E-mail:zhangwh@nwpu.edu.cn;侯杰 男,博士研究生。主要研究方向:结构连接件设计。Tel:029-88493914-1222 E-mail:Hou.jie@live.cn
  • 基金资助:

    国家自然科学基金(51275424,11002113,11172236);国家"973"计划(2011CB610304);西北工业大学基础研究基金(NPU-FFR-JC20120229)

Structure topology optimization with multi-point shape-preserving constraint

ZHU Jihong, LI Yu, ZHANG Weihong, HOU Jie   

  1. Engineering Simulation & Aerospace Computing Laboratory, Northwestern Polytechnical University, Xi'an 710072, China
  • Received:2014-03-12 Revised:2014-03-31 Online:2015-02-15 Published:2014-04-09
  • Supported by:

    National Natural Science Foundation of China (51275424, 11002113, 11172236); National Basic Research Program of China (2011CB610304); Northwestern Polytechnical University Fund of Fundamental Research (NPU-FFR-JC20120229)

摘要:

为了抑制飞行器结构局部区域内多个控制点的翘曲变形,提出考虑结构保形的拓扑优化设计新方法。基于由局部区域内保形控制点生成的人工附加弱单元(AWE),定义AWE的变形能约束函数,从而引入了对结构局部区域的多点保形约束,定量衡量并抑制了该区域内结构的弹性翘曲变形程度。进一步讨论并分析了保形约束与整体刚度之间的消长关系以及优化过程中可能存在的传力路径畸变现象。拓扑优化数值算例的设计结果对比表明,保形拓扑优化方法相比现有拓扑优化方法,能够有效抑制多点间的相对位移和翘曲变形,实现保形设计效果。

关键词: 拓扑优化, 多点保形约束, 人工附加弱单元, 翘曲变形, 局部变形能

Abstract:

The purpose of this paper is to present an extended topology optimization suppressing the warping deformation of multiple control points in aircraft structural local domain. By applying artificial week elements (AWE) established with respect to the control points of shape-preserving design, the elastic warping deformation is quantified and suppressed by constraining the strain energies of AWE. Moreover, further studies on the paradox between shape-preserving constraint and global strain energy, probable distortion of load carrying path during topology optimization are carried out for in-depth understanding. Comparisons of several numerical results with the standard topology optimization have evidently shown that the effect of shape-preserving is successfully achieved by suppressing the warping deformation and controlling the relative displacements of multiple control points.

Key words: topology optimization, multi-point shape-preserving constraint, artificial weak elements, warping deformation, local strain energy

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