航空学报 > 2016, Vol. 37 Issue (12): 3721-3733   doi: 10.7527/S1000-6893.2016.0137

多组件结构系统布局拓扑优化中处理组件干涉约束的惩罚函数方法

朱继宏, 郭文杰, 张卫红, 何飞   

  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:2015-12-17 修回日期:2016-04-29 出版日期:2016-12-15 发布日期:2016-05-06
  • 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;郭文杰,男,硕士研究生。主要研究方向:结构拓扑优化设计。Tel.:029-88493914-1222,E-mail:wjguo@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;何飞,男,硕士研究生。主要研究方向:动载作用下结构拓扑优化设计。Tel.:029-88493914-1222,E-mail:hefei@mail.nwpu.edu.cn
  • 基金资助:

    国家自然科学基金(11432011,11172236);高等学校学科创新引智计划(B07050);陕西省科学技术研究发展计划项目(2014KJXX-37);中央高校基本科研业务费专项资金(3102014JC02020505)

A penalty function based method for dealing with overlap constraints in integrated layout and topology optimization design of multi-component systems

ZHU Jihong, GUO Wenjie, ZHANG Weihong, HE Fei   

  1. Laboratory of Engineering Simulation & Aerospace Computing, Northwestern Polytechnical University, Xi'an 710072, China
  • Received:2015-12-17 Revised:2016-04-29 Online:2016-12-15 Published:2016-05-06
  • Supported by:

    National Natural Science Foundation of China (11432011,11172236); "111" Project (B07050); Science and Technology Research and Development Projects in Shaanxi Province (2014KJXX-37); the Fundamental Research Funds for the Central Universities (3102014JC02020505)

摘要:

包含大量组件的多组件结构系统布局拓扑优化设计中存在大量的组件干涉约束,研究了包含大量组件的结构系统整体式拓扑布局优化设计问题,基于有限包络圆方法(FCM)提出了处理组件干涉约束的惩罚函数方法,构造了包含结构刚度和组件之间几何干涉函数的内外混合惩罚函数,应用基于梯度的优化算法对包含数十个组件上百个干涉约束的多组件结构系统进行刚度优化设计,得到了清晰的支撑结构构型和无干涉的组件布局位置,充分体现了提出的混合惩罚函数方法在解决多组件结构系统布局拓扑优化设计中组件干涉问题上的有效性和适用性。

关键词: 拓扑优化, 多组件结构系统, 混合惩罚函数, 干涉约束, 有限包络圆法

Abstract:

There are an amount of overlap constraints in the integrated layout and topology optimization design of a multi-component system containing tens of components. The integrated layout and topology optimization design of multi-component systems containing varieties of components are discussed in this paper. The finite-circle method (FCM) based penalty function is applied to deal with the overlap constraints among different components. A combined penalty function consisting of compliance and overlap constraints functions is chosen as the new objective. The gradient based optimization algorithm is implemented to maximize the stiffness of the system involving hundreds of overlap constraints, a total of tens of different components. Clear configurations of structure and non-overlapping positions of components are obtained in the simultaneous integrated layout and topology optimization deign. The optimized designs have shown the validity and efficiency of the proposed penalty function in dealing with overlap constraints in the integrated layout and topology optimization design of multi-component systems.

Key words: topology optimization, multi-component system, combined penalty function, overlap constraint, finite-circle method

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