宇航学报

宇航学报 ›› 2021, Vol. 42 ›› Issue (2): 150-158.doi: 10.3873/j.issn.1000-1328.2021.02.002

• 飞行器设计与力学 • 上一篇    下一篇

主控格栅反射器基体结构/压电作动器参数集成优化设计

宋祥帅，初未萌，谭述君，吴志刚   

  1. 1. 大连理工大学航空航天学院，大连 116024； 2. 大连理工大学工业装备结构分析国家重点实验室，大连 116024
  • 收稿日期:2019-12-20 修回日期:2020-07-01 出版日期:2021-02-15 发布日期:2021-02-15
  • 基金资助:
    国家自然科学基金（11572069，11872381，11432010）

Integrated Optimization Design of Base Structure/Piezoelectric Actuator Parameters for a Grid Reflector with Actuators

SONG Xiang shuai, CHU Wei meng, TAN Shu jun, WU Zhi gang   

  1. 1. School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China;2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China
  • Received:2019-12-20 Revised:2020-07-01 Online:2021-02-15 Published:2021-02-15

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摘要： 为提高反射器形面控制能力和减小在轨热变形，本文以锆钛酸铅压电陶瓷(PZT)驱动的主控格栅反射器为研究对象，开展反射器基体结构和PZT压电作动器参数的集成优化设计研究。首先，建立主控格栅反射器有限元模型并通过实验验证了有限元模型的正确性。然后，以形面控制能力最大和热变形最小为目标函数，以设计变量上限、下限和结构基频为约束，采用遗传算法(GA)和非支配排序遗传算法(NSGA II)求解。最后，给出多个仿真算例的优化结果。仿真结果表明，控制能力最大的单目标优化，其热变形远大于控制能力，多目标的帕累托(Pareto)最优前沿可以给出更合理的设计方案。通过优化设计可以显著提高形面控制能力和减小热变形。

关键词: 集成优化设计, 天线反射器, PZT作动器, 多目标优化, 遗传算法, 形面控制

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

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