中文摘要：

有多重限制处理的非统治的排序的基因算法 II (NSGA-II ) 为望远镜皮肤，一个小点矩阵在被用作一个染色体的表示的拓扑的结构的多客观的优化被采用，并且基因算法(GA ) 操作员基于矩阵被介绍。目的包括质量，在里面飞机表演，和 out-of-plane 个人的忍受负担的能力被有限元素分析(FEA ) 用 ANSYS 获得，并且基于矩阵的优化算法被处理象结构的连接和在里面飞机紧张要求那样的多重限制在 MATLAB 认识到。支持结构的可行配置被完成。结果证实有多重限制处理的基于矩阵的 NSGA-II 为二维的多客观的拓扑学优化提供一个有效方法。

英文摘要：

Non-dominated sorting genetic algorithm II（NSGA-II）with multiple constraints handling is employed for multi-objective optimization of the topological structure of telescope skin,in which a bit-matrix is used as the representation of a chromosome,and genetic algorithm（GA）operators are introduced based on the matrix.Objectives including mass,in-plane performance,and out-of-plane load-bearing ability of the individuals are obtained by fnite element analysis（FEA）using ANSYS,and the matrix-based optimization algorithm is realized in MATLAB by handling multiple constraints such as structural connectivity and in-plane strain requirements.Feasible confgurations of the support structure are achieved.The results confrm that the matrix-based NSGA-II with multiple constraints handling provides an effective method for two-dimensional multi-objective topology optimization.