频率约束下的可展开天线多目标优化设计

Multi-Objective Optimized Design of Deployable Antenna with Frequency Constraint

针对太空索网桁架式可展开天线的结构特点和性能要求,对其结构初始设计进行了优化研究.以刚性周边桁架单元壁厚和柔性索单元半径为设计变量,结构质量和天线表面精度为目标函数,结构基频和单元应力为约束条件,建立了天线的多目标优化数学模型.采用序列二次规划法对这一包含有动力约束的非线性复杂模型进行求解,并进行实例计算,得到了不同权重值下对应的优化结果,提高了天线性能,同时证明了所提出的研究模型与方法的可行性和有效性.

In order to meet the requirements for the performance of the space deployable cable net-truss antenna, the initial structure of the antenna is optimized according to the structural characteristics. In the optimization, a multi-objective optimal mathematical model is established, with the thickness of the rigid edge truss and the radius of the flexible cable as the variables, the minimum mass and the highest surface accuracy as the goals, and with the natural frequency and the stress as the constraints. Then, the sequential quadratic programming method is adopted to solve the proposed complex and nonlinear model with kinetic constraints. Moreover, a case study is performed and some optimization results are obtained in different weight conditions to improve the performance of the antenna. It is concluded that the proposed model and method are not only feasible but also effective.