金栋平，纪斌
摘要:针对机翼后缘柔性支撑结构的多目标拓扑优化问题,分析了柔性支撑结构的优化目标及目标函数,并采用位矩阵表示机翼后缘柔性支撑结构,利用非支配排序遗传算法（NSGA-Ⅱ）对该优化问题进行了求解。在优化过程中,引入连通性分析和相似个体过滤,借助ANSYS对可行个体进行有限元分析（FEA）,获得了结构质量、变形性能和承载能力等目标值。通过MATLAB对违约个体进行惩罚,实现了位矩阵表示的NSGA-Ⅱ,得到了一组互不支配的机翼后缘柔性支撑优化结构,可根据实际需求选择这些相应的拓扑结构。结果表明,本方法可为机翼后缘柔性支撑结构的拓扑优化提供可行、有效的解。
关键词：柔性结构；机翼后缘；拓扑优化；遗传算法；多目标优化
Topology optimization of flexible support structure for trailing edge
Dongping Jin, Bin Ji
Abstract：Non-dominated sorting genetic algorithm Ⅱ（NSGA-Ⅱ） with connectivity analysis is employed for the multi-ob- jective topology optimization of the flexible support structure for morphing trailing edge, in which bit-matrix is used as the representation of a chromosome. Starting with the analysis of optimization target of the flexible support structure for trailing edge, the objective functions of multi-objective topology optimization are established. In order to improve the efficiency and make the optimization results better, the connectivity analysis and similar individual filter are put forward. The objectives such as mass, performances of deformation and load bearing ability of the feasible individuals are obtained by finite element analysis （FEA） using ANSYS, and the bit-matrix-based NSGA-Ⅱ is realized in MATLAB by penalizing the infeasible individ- uals. Subsequently, the feasible configurations of the support structure are obtained. The results show that the bit-matrix- based NSGA-Ⅱ with the connectivity analysis and similar individual filter can provide feasible and effective solutions for multi-objective topology optimization of the flexible support structure for morphing trailing edge.
Keyword：flexible structure; trailing edge; topology optimization; genetic algorithms; multi-objective optimization
原文链接：http://hkxb.buaa.edu.cn/CN/article/downloadArticleFile.do?attachType=PDF&id=16005
