一类强非线性系统周期解的能量迭代法  

The EnergyIteration Method for Periodic Solution of A Class of Strongly Nonlinear System

作　　者：周一峰[1] 谢柳辉[1] 李骊[1] 

机构地区：[1]长沙铁道学院,北京工业大学

出　　处：《应用力学学报》1997年第4期26-30,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金

摘　　要：应用能量原理，引入牛顿线性化思想进行迭代，求强非线性Ｌｉｅｎａｒｄ方程的周期解。例子说明本方法行之有效且精度高。In this paper, according to energy principle and iteration the iterate Newton linearization idea, we find the periodic solutions of strongly nonlinear Lienard equation. The comparison between the results obtained by our method and those by numerical method shows that this method is both effective and of high accuracy. Expressions of the analytical solution can be derived with electric computer.

关 键 词：强非线性 能量原理 线性化 非线性振动 

分 类 号：O322[理学—一般力学与力学基础]