一类刚柔耦合非线性系统的动力学建模  

Dynamic Model of a Rigid-flexible Coupling Nonlinear System

作　　者：陈予恕[1] 杨彩霞[1] 

机构地区：[1]天津大学,天津300072

出　　处：《中国空间科学技术》2000年第3期60-65,共6页Chinese Space Science and Technology

基　　金：国家重点基础研究专项经费资助!No.G19980 2 0 316;国家自然科学基金资助! ( 19990 510 )

摘　　要：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。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.

关 键 词：刚柔耦合系统 非线性方程 模型 动力学 大型卫星 

分 类 号：V474[航空宇航科学与技术—飞行器设计]