摘要
从Ｈａｍｉｌｔｏｎ原理出发推导了柔性附件伸展过程的时变系数动力学方程．在限定缓慢伸展的前提下，将动力学方程解耦处理，推广非线性动力学的平均法求解时变系数微分方程，得到近似解析解，该解析解适用于任何伸展率，而且可以作为判定失稳的依据．
The distribution parameter dynamics equation is derived on the Hamilton principle for the flexible appendages during extension. According to the result of numerical simulation, the appendages should be slowly extended to avoid unstability. Based on the assumption of slow extension, the dynamics equation is decoupled, and the approximate solution of time varying coefficients differential equations is obtained by the average method. The approximate solutions is applicable at any extension rate, and it also can be used to determine the instability boundary. The result shows that the approximate solutions are in good agreement with the numerical solution.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
1998年第5期115-117,共3页
Journal of Harbin Institute of Technology
关键词
动力学
时变系统
伸展
柔性附件
航天器
Dynamics
time varying system
extension
flexible appendages
