一类刚柔耦合非线性系统的动力学建模

用拉格朗日方程推导了带有大型天线的地球同步轨道卫星这一特定的刚柔耦合多体系统的动力学方程。因为考虑了星本体相对轨道坐标系的三维空间姿态运动、天线支撑臂的弹性运动以及天线对低轨道用户的跟踪指向运动 ,所得的动力学方程能更为全面地反映此类卫星的刚体运动与弹性体运动之间的耦合及其真实的动力学行为。根据此方程可以推出不同情况的简化方程。当需要对原系统进行振动分析时 ,可选用相应的简化结果 ,而不必重新进行繁琐的推导。该文所介绍的方法同样适用于一般刚柔耦合系统的动力学分析

Dynamic Model of a Rigid-flexible Coupling Nonlinear System

The dynamic equation of a rigid-flexible coupling nonlinear system is derived based on Lagrange Equation.The effect of satellite's relative three-dimensional motion on orbit coordinate,flexible vibration of antenna's surpporting beam caused by satellite motions,the nonlinear angle displacement resulted from the flexible of GDA and scanning motions of the antenna are considered.This dynamic equation shows the coupling motion and dynamic behaviors more completely.Thus some simplified dynamic equations on different conditions are derived.So,when the original system's vibration is analysed,just the corresponding result is obtained.The method is also suitable for analysing dynamic behaviors of the general.