Stability and approximate solution of a relative-rotation nonlinear dynamical system under harmonic, excitation

被引：8
作者：
Shi Pei-Ming [1 ]
Liu Bin [1 ]
Liu Shuang [1 ]
机构：
[1] Yanshan Univ, Coll Informat Sci & Engn, Qinhuangdao 066004, Peoples R China
来源：
ACTA PHYSICA SINICA | 2008年 / 57卷 / 08期
关键词：
relatively rotation; nonlinear dynamical system; Lyapunov function; stability;
D O I：
10.7498/aps.57.4675
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The dynamical equation of a relative-rotation nonlinear dynamical system with nonlinear elastic force and common friction and harmonic excitation is deduced. The singularity stability of the autonomous, system is studied by constructing the Lyapunov function. The approximate solution of unautonomous equation with different resonance response under harmonic excitation is obtained by the method of multiple scales, and the stability of main resonance stable state of motion is studied.
引用
收藏
页码：4675 / 4684
页数：10
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