基于径向基函数的卫星平台桁架结构优化设计  

Satellite Bus Truss Structure Optimization Using Radial Basis Function

作　　者：彭磊[1] 刘莉[1] 龙腾[1] 

机构地区：[1]北京理工大学宇航学院,北京100081

出　　处：《南京航空航天大学学报》2014年第3期475-480,共6页Journal of Nanjing University of Aeronautics & Astronautics

摘　　要：为了降低结构优化计算成本,同时保证搜索优化问题的全局优化解,本文将径向基函数代理模型应用于桁架式卫星平台结构设计优化中。针对桁架结构涉及离散的拓扑和尺寸变量,本文采用连续松弛变量的方式处理离散变量。另外,本文采用增广拉格朗日函数将涉及非线性约束的优化问题转换为一个只包含边界约束的优化问题,然后应用径向基函数代理模型对转换后的优化模型进行近似,并采用具有全局寻优能力的优化算法对所构造的代理模型进行优化。在桁架结构优化过程中,逐次更新朗格朗日罚系数和代理模型,直至搜索到可行优化点。最后,本文将所提出的优化策略应用于一个桁架式卫星平台设计优化实例中,通过优化结果验证了本文所提出的优化策略的高效性。In order to reduce computational cost during satellite bus structure optimization and satisfy the global convergence, the radial basis function is applied to dealling with structure optimization. As the truss structure optimization involves size, topolo used to treat discrete variables. Furthermore, the gY La and geometry variables, continuous relaxation is grangian multiple method is applied to converting a constrained optimization problem to an equivalent unconstrained optimization problem with bound con straint. Then the radial basis function is used to approximate the Lagrangian function, and the optimum is obtained through using global optimization strategy for the approximated model. During the satellite bus structure optimization process, the parameter of Lagrange function and radial basis are updated until the process searches a feasible optimum. Finally, the proposed strategy is applied to a practical satellite bus truss structure, thus demonstrating the high efficiency.

关 键 词：飞行器设计 卫星平台 结构优化 代理模型 

分 类 号：V221[航空宇航科学与技术—飞行器设计]