摘要
首先介绍了解非线性振动方程的L-P摄动法和Krylov展开法,然后对两种方法进行了比较.比较可知,对恢复力是位移奇函数的单自由度保守振动系统Krylov展开法适用范围比L-P摄动法广泛;对恢复力是位移一般函数的单自由度保守振动系统两者都仅适用于弱非线性系统.两个典型例子验证了结论的正确性.
The L-P perturbation method and Krylov method are reviewed firstly, and then the comparison between them is completed. For the odd nonlinear oscillation systems, the Krylov method is better than L-P perturbation method. On the other hand, for the case of general nonlinear oscillation systems, both L-P perturbation method and Krylov method are only valid for small amplitude. Two typical example＇s confirm that the conclusion presented in this paper is correct.
出处
《北华大学学报（自然科学版）》
CAS
2007年第6期488-492,共5页
Journal of Beihua University（Natural Science）
关键词
摄动法
奇非线性振动系统
一般非线性振动系统
Perturbation methods
Odd nonlinear oscillation systems
General nonlinear oscillation systems
