大型相控阵雷达高维离散变量拓扑优化

Topology Optimization with Multiple Discrete Variables in Large Phased Array Radar

针对目前部分相控阵雷达大型化的趋势,考虑对子阵支撑板实现动力补偿的前提下进行支撑点及加强筋的布局优化设计。按照设计要求在有限个可安装部位选择支撑点,并且同时考虑不同加强筋拓扑形式对整体结构的平面度贡献,在强度和质量约束下以最佳吻合平面精度为设计目标,构建数学模型。利用连续化阶梯函数将工程中的型材变量与连续变量映射,避免了直接采用离散变量求解,求解规模小。对某大型相控阵雷达进行案例验证,取得满意的结果,并且该方案将应用到工程实际中。

According to the trend of maximization of phased array radar, a layout optimization with the position of supporting points and stiffeners is set up considering the power compensation to the subarray. The supporting points are selected from a finite number of locations allow installed, simultaneously, the contribution of the topology of the stiffeners is considered. For the aim of the best-fit root mean square, under the restriction of the maximum mass and stress, an optimization model is established. A continuous step function constructed to map the discrete variables to continuous variables can avoid the straightforward use in discrete variables, and the corresponding computing cost is lower. A large phased array radar is selected to verify the proposed method. A satisfied result is obtained and will be applied into the engineering.