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为了改善卫星天线复合材料框架的结构动力学性能,提出了一种针对卫星天线框架复合材料铺层的两阶段优化设计方法。阶段Ⅰ以各铺层的角度为设计变量进行铺层顺序优化,框架基频的最大化为优化目标,铺层数的最大值为约束条件。其中设计变量用一种多进制码来表示,并将多进制码映射为连续变量,应用粒子群优化(PSO)算法对阶段Ⅰ优化模型进行求解。在阶段Ⅰ优化结果的基础上,阶段Ⅱ主要是优化复合材料的层数,以基频最大化与质量最小化为优化目标建立多目标拓扑优化模型,应用第2代非劣排序遗传算法(NSGA-Ⅱ)进行求解。为了验证该方法的有效性,对某大型卫星天线复合材料框架进行优化设计,结果表明:该方法能有效地减小天线板复合材料框架的质量,并提高基频。
In order to improve the structural dynamic performance of the satellite antenna composite frame, a two-stage optimization design method for the composite layer of the satellite antenna frame is proposed. Stage Ⅰ is to optimize the laying order of the design variables with respect to each ply, maximize the fundamental frequency of the frame as the optimization objective, and the maximum number of plies is the constraint. The design variables are represented by a multi-hexadecimal code, and the multi-input codes are mapped into continuous variables. Particle swarm optimization (PSO) algorithm is used to solve the optimization model of phase I. Based on the optimization results of Stage I, stage II mainly optimizes the number of layers of composite materials, and establishes a multi-objective topology optimization model based on the maximization of fundamental frequency and minimization of mass. The second generation non-inferior sequencing genetic algorithm (NSGA -II) to solve. In order to verify the effectiveness of the method, the design of a large satellite antenna composite frame is optimized. The results show that this method can effectively reduce the quality of the composite antenna frame and improve the fundamental frequency.