Stability of equilibrium state of a kind of nonlinear relative rotation dynamic system and associated harmonic approximate solution

被引：10
作者：
Meng, Zong [1 ]
Liu, Bin [1 ]
机构：
[1] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China
来源：
ACTA PHYSICA SINICA | 2008年 / 57卷 / 03期
关键词：
relative rotation; nonlinear dynamics system; stability; associated harmonic response;
D O I：
10.7498/aps.57.1329
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The nonlinear dynamic equation with two masses in relative rotation is established, which contains a kind of generalized nonlinear elastic force. Using variable gradient method, the Lyapunov function is gotten, and the stability of the relative rotation nonlinear autonomous system is studied. The approximate solution of the associated harmonic response of the relative rotation nonlinear non-autonomous system under two forcing excitations of different frequencies is obtained by the method of perturbation.
引用
收藏
页码：1329 / 1334
页数：6
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