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
收稿日期: 2015-12-17
修回日期: 2016-04-29
网络出版日期: 2016-05-06
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
Received date: 2015-12-17
Revised date: 2016-04-29
Online 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)
朱继宏 , 郭文杰 , 张卫红 , 何飞 . 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[J]. 航空学报, 2016 , 37(12) : 3721 -3733 . DOI: 10.7527/S1000-6893.2016.0137
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.
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