空间太阳能电站的轨道、姿态和结构振动的耦合动力学建模及辛求解

COUPLING DYNAMIC MODELING AMONG ORBITAL MOTION,ATTITUDE MOTION AND STRUCTURAL VIBRATION AND SYMPLECTIC SOLUTION OF SPS

作为一种从太空获得清洁能源的系统,空间太阳能电站(SPS)吸引着许多国家和科研机构的关注.由于其超大、超轻的柔性结构特点,研究其在轨动力学行为时需要考虑轨道、姿态和结构振动的耦合作用.本文在考虑地球的非球形摄动影响下,建立了集成对称聚光系统(ISC)的动力学模型.通过Legendre变换引入广义动量,在Hamilton体系下建立了其轨道、姿态、轴向振动耦合的动力学方程.采用辛Runge-Kutta方法对耦合动力学方程进行数值求解.根据数值结果,分别研究了其在地球同步轨道下二阶摄动项对轨道、姿态和结构振动的影响,并分析了总能量的变化情况.

As a system to collect clean energy from outer space, the solar power satellite （SPS） has attracted great concerns of various countries and scientific research institutions in the world. As SPS is a very large flexible and lightweight structure in outer space, it is necessary to investigate the coupling effect of orbital motion, attitude motion and structural vibration in the study of the global dynamics. In this paper, under the consideration of the effects of the non gravitational perturbation forces, the coupled orbital, attitude and structural Hamiltonian equations of the integrated symmetrical concentrator （ISC） are constructed by using Legendre transformation and introducing generalized momenta. Subsequently, the dynamic equations of the system are solved by the symplectic Runge Kutta method. According to the numerical results, the effects of non gravitational perturbation of Order 2 are well discussed, and the variation of total energy is analyzed.