Abstract: To improve the shape control ability of an antenna reflector and reduce its thermal deformation in orbit, an integrated optimal design of the base structure/PZT actuator parameters for a grid reflector driven by lead zirconate titanate (PZT) actuators is studied. Firstly, a finite element model for the reflector is established, and the accuracy of the modeling method is verified by experiments. Then, the maximum shape control ability and the minimum thermal deformation are considered as the objective functions. The upper and lower limits of the design variables and the fundamental frequency of the structure are considered as the constraints. The genetic algorithm (GA) and the non dominated genetic algorithm (NSGA II) are applied to solve the optimization problem. Finally, the optimization results of several simulation examples are presented. The simulation results demonstrate that the single objective optimization with the largest control capability has a thermal deformation far greater than the control capability, and the multi objective Pareto optimal front can give more reasonable design solutions. The shape control ability of the reflector can be significantly improved and its thermal deformation can be reduced by the optimum design.

Key words:

Integrated optimization design, Antenna reflector, PZT actuator, Multi objective optimization, Genetic algorithm, Shape control