摘要
本文提出用广义位移x,基波幅值变化率da/dt=A(a)和系统频率ω(a)进行迭代的一种解析方法——三变量迭代法,求解一般的二阶完全强非线性自治系统的周期解及其稳定性。通过若干实例计算,表明了该方法行之有效。
In this paper the three variables iteration method is suggested to find the periodic solutions and determine their stability of fully strong nonlinear autonomous systems of 2nd order. The comparison between the results obtained by our method and those obtained by numerical method shows that the three variables iteration method is both effective and of high accuracy.
出处
《力学学报》
EI
CSCD
北大核心
1992年第6期691-699,共9页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金
关键词
迭代法
周期解
强非线性系统
振动
Iteration method, Periodic solution, Strongly nonlinear autonomous tem, Stability criterion
