以绳系辅助离轨系统为背景,考虑系绳质量和柔性因素,利用微元法建立柔性绳系辅助离轨系统的展开动力学模型;针对动力学方程的复杂的非线性和强耦合问题,采用伽辽金法进行离散化处理、求解及分析;并通过数学仿真来验证和分析柔性绳系辅助离轨系统的展开动力学特性.仿真结果表明,在绳系辅助离轨系统的展开过程中,系统的横向和纵向运动的位移量不断增加,而横向和纵向运动的振动频率和幅值不断衰减;且系统的展开状态参数~展开摆角和系绳张力的振动幅值也逐渐衰减,从而表明随着展开长度的增加,由于系绳柔性而产生的振动运动逐渐衰减,并趋于稳定的空间驻形.
Under the background of tethered deorbit system and considering the mass and flexible factor of the tether, a deployment dynamic model for flexible tethered-assisted deorbit system was given based on the microelement method. For the complicated nonlinear and strongly coupled dynamic equations, the dynamic model was discredited to obtain numerical solution by Galerkin method. Then a mathematic simulation was conducted to validate and analyze the dynamic characteristics of the system. The results showed that the Longitudinal and Transverse vibrations and the frequency increased with the deployment of the system, but the amplitude decreased, and the amplitude of the vibrations of the in-plane angle and tension also decreased. So the vibrations induced by the flexibility of the tether damped and tended to a quasi-stationary configuration with the increase of the deployed tether.