• 飞行器设计与力学 •

### 单翼大挠性航天器全局模态动力学建模及试验

1. 1. 上海宇航系统工程研究所，上海 201109；2. 北京仿真中心航天系统仿真重点实验室，北京 100854； 3. 哈尔滨工业大学航天工程系，哈尔滨 150001
• 收稿日期:2018-05-23 修回日期:2018-11-12 出版日期:2019-04-15 发布日期:2019-04-25
• 基金资助:

国家自然科学基金（11672093）；国家自然科学基金（U1737207）；航天科技集团-哈尔滨工业大学联合技术创新项目

### Global Dynamic Modeling for a Spacecraft with Single Large Flexible Structure and Experimental Study

YUAN Qiu fan, WANG Chao lei, QI Nai ming, CAO Shi lei

1. 1. Shanghai Aerospace System Engineering Institute, Shanghai 201109, China; 2. Science and Technology on Special System Simulation Laboratory, Beijing Simulation Center, Beijing, 100854，China; 3. School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
• Received:2018-05-23 Revised:2018-11-12 Online:2019-04-15 Published:2019-04-25

Abstract:

A global modal dynamic model is proposed for a spacecraft with a small center rigid body and a single large flexible structure. The global rigid body motion and the global flexible deformation are described in a unified form. Based on the Hamilton principle, the global modal dynamics equations are derived, and the calculation method of the unconstrained modal frequencies and modal shapes is derived by the Rayleigh-Ritz method. The accuracy of the global modal dynamics model is verified by the simulation and experiments. Compared with the finite element model, the variation of the unconstrained modal frequency along with the mass and the inertia ratios is analyzed. The results show that the global modal dynamic model describes the unconstrained modal frequency more accurately. The maximum error of the first modal frequency is 0.003 Hz. The dynamic response is accurately described with the maximum error of 2.6%. The experimental system is constructed, and the measured unconstrained modal frequencies are consistent with the theoretical analysis and the finite element simulation results. It shows that the theoretical model accurately describes the variation of the unconstrained modal frequency with the rigid-flexible coupling characteristics.