Model of Centrifugal Effect and Attitude Maneuver Stability of a Coupled Rigid-Flexible System

LI Zhi-bin; WANG Zhao-lin; WANG Tian-shu; LIU Ning

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(5): 547-555

LI Zhi-bin, WANG Zhao-lin, WANG Tian-shu, LIU Ning. Model of Centrifugal Effect and Attitude Maneuver Stability of a Coupled Rigid-Flexible System[J]. Applied Mathematics and Mechanics, 2005, 26(5): 547-555.

Citation:

PDF( 436 KB)

Model of Centrifugal Effect and Attitude Maneuver Stability of a Coupled Rigid-Flexible System

1.
Beijing Institute of Control Engineering, P. O. Box 2729, Beijing 100080, P. R. China;

Received Date: 2003-12-23
Rev Recd Date: 2004-12-15
Publish Date: 2005-05-15

Abstract

Abstract

The influences of nonlinear centrifugal force to large overall attitude motion of coupled rigid-flexible system was investigated. First the nonlinear model of the coupled rigid-flexible system was deduced from the idea of "centrifugal potential field", and then the dynamic effects of the nonlinear centrifugal force to system attitude motion were analyzed by approximate calculation; At last, the Liapunov function based on energy norm was selected, in the condition that only the measured values of attitude and attitude speed are available, and it is proved that the PD feedback control law can ensure the attitude stability during large angle maneuver.
- Coupled rigid-flexible system,
- nonlinear,
- rigid-body motion,
- elastic vibration

FullText(HTML)

References(10)

References

[1]	马兴瑞,王本利,苟兴宇,等著.航天器动力学——若干问题进展及应用[M].北京：科学出版社,2001.
[2]	Kane T R, Ryan R R, Banerjee A K. Dynamics of a cantilever beam attached to a moving base[J].Journal of Guidance,Control and Dynamics,1987,10(2):139—150. doi: 10.2514/3.20195
[3]	Likins P W.Finite element appendage equations for hybrid coordinate dynamic analysis[J].J of Solids and Structures,1972,8：709—731. doi: 10.1016/0020-7683(72)90038-8
[4]	Sakawa Y, LUO Zheng-hua.Modeling and control of coupled bending and torsional vibration of flexible beams[J].IEEE Trans on Automatic Control,1989,34(9):970—977. doi: 10.1109/9.35810
[5]	Enrique Barbieri, Umit Ozguner. Unconstrained and constrained mode expansions for a flexible slewing link[J].Transaction of ASME,1988,110(6):416—421. doi: 10.1115/1.3250501
[6]	Mrgul ?.Orientation and stabilization of a flexible beam attached to a rigid body:planar motion[J].IEEE Trans on Automatic Control，1991,36(8):953—962. doi: 10.1109/9.133188
[7]	Bloch A M. Stability analysis of a rotating flexible system[J].Acta Appli Mathe,1989,15(8):211—234. doi: 10.1007/BF00047531
[8]	肖世富,陈滨.一类刚-柔耦合系统柔体模态分析的特征[J].中国空间科学技术,1998,18(4):8—13.
[9]	胡振东,洪嘉振.刚柔耦合系统动力学建模及分析[J].应用数学和力学,1999,20(10):1087—1093.
[10]	李智斌.刚-柔-控耦合系统动态特性分析及其实验研究[D].博士论文，北京：清华大学,2002，111—116.