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带柔性伸缩附件航天器几何非线性振动稳定性
引用本文:李智斌,王照林,李俊峰. 带柔性伸缩附件航天器几何非线性振动稳定性[J]. 宇航学报, 2004, 25(2): 141-146
作者姓名:李智斌  王照林  李俊峰
作者单位:1. 北京控制工程研究所,北京,100080
2. 清华大学工程力学系,北京,100084
基金项目:国家自然科学基金资助项目(10372015,90205008,60034010)
摘    要:研究由中心刚体和可伸缩柔性附件组成的非线性刚柔耦合系统,不同于大多数文献只研究柔性附件的横向弯曲变形对系统动态特性的影响,同时考虑了柔性附件的拉伸变形、截面转角变化同弯曲变形的相互耦合作用,并且以非线性几何关系作为基本出发点,建立了伸缩运动同柔性变形、姿态运动之间的非线性耦合动力学模型,然后基于能量积分和动量矩积分构造首次积分,分析了非线性耦合系统的运动稳定性。

关 键 词:几何非线性 伸缩柔性梁 刚一柔耦合系统 运动稳定性
文章编号:1000-1328(2004)02-0141-06

The stability of geometric nonlinear vibrations of a deploying flexible appendage of a spacecraft
LI Zhi-bin,WANG Zhao-lin,LI Jun-feng. The stability of geometric nonlinear vibrations of a deploying flexible appendage of a spacecraft[J]. Journal of Astronautics, 2004, 25(2): 141-146
Authors:LI Zhi-bin  WANG Zhao-lin  LI Jun-feng
Affiliation:LI Zhi-bin~1,WANG Zhao-lin~2,LI Jun-feng~2
Abstract:A rigid-flexible coupled system is studied which consists of a central rigid body deploying a flexible appendage.Other than most of the literatures that merely pay attention to the effect of transverse bending deformation of flexible beam on system dynamic characteristics,this paper considers axial tension deformation,transverse bending deformation and cross-section rotation synchronously.On the basis of nonlinear geometric relation,the nonlinear model of the rigid-flexible coupled system with extensible structure is established.Then a Lyapunov function based on energy function is selected and the motion stability of the nonlinear system is analyzed.
Keywords:Geometric nonlinear  Deploying flexible beam  Rigid-flexible coupled system  Stability of motion
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