航空学报 > 2015, Vol. 36 Issue (8): 2681-2687   doi: 10.7527/S1000-6893.2015.0105

机翼后缘柔性支撑结构的拓扑优化

金栋平, 纪斌   

  1. 南京航空航天大学 机械结构力学及控制国家重点实验室, 南京 210016
  • 收稿日期:2015-04-09 修回日期:2015-04-13 出版日期:2015-08-15 发布日期:2015-04-27
  • 通讯作者: 金栋平 男, 博士, 教授, 博士生导师。《航空学报》第七、八届编委。主要研究方向: 非线性动力学与控制。Tel: 025-84890251 E-mail: jindp@nuaa.edu.cn E-mail:jindp@nuaa.edu.cn
  • 作者简介:纪斌 男, 博士研究生。主要研究方向: 结构拓扑优化。E-mail: jibin@nuaa.edu.cn
  • 基金资助:

    国家自然科学基金(91016022); 江苏高校优势学科建设工程

Topology optimization of flexible support structure for trailing edge

JIN Dongping, JI Bin   

  1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2015-04-09 Revised:2015-04-13 Online:2015-08-15 Published:2015-04-27
  • Contact: 10.7527/S1000-6893.2015.0105 E-mail:jindp@nuaa.edu.cn
  • Supported by:

    National Natural Science Foundation of China (91016022); Priority Academic Program Development of Jiangsu Higher Education Institutions

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

Abstract:

Non-dominated sorting genetic algorithm Ⅱ (NSGA-Ⅱ) with connectivity analysis is employed for the multi-objective 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 individuals. 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.

Key words: flexible structure, trailing edge, topology optimization, genetic algorithms, multi-objective optimization

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