Stability of nonlinear dynamical system of relative rotation and approximate solution under forced excitation
Shi Pei-Ming, Liu Bin
燕山大学信息科学与工程学院，秦皇岛 066004
Abstract The stability of nonlinear dynamical system of relative rotation is studied. Firstly, the dynamics equation of relative rotation autonomous nonlinear dynamical system with commonly damped force and forced excitation is deduced. Secondly, the stability of relative rotation nonlinear dynamical system is studied. For the nonlinear dynamical system, it is proved that the closed orbit bifurcation can occur under some conditions. Finally, The approximate solution of the equation under forced excitation is obtained by the method of multiple scales.
Key words ：
relatively rotation
nonlinear dynamical system
stability of motion
approximate solution
Received: 2006-10-11
Published: 2007-07-20
Cite this article:
Shi Pei-Ming,Liu Bin. Stability of nonlinear dynamical system of relative rotation and approximate solution under forced excitation. Acta Phys. Sin., 2007, 56(7): 3678-3682.
URL:
http://wulixb.iphy.ac.cn/CN/Y2007/V56/I7/3678
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2007, Vol. 56 
