摘要
本文把Lindstedt的频率展开思想推广到高维系统,并通过引进自变量的非线性变换,给出一类多自由度非线性自治系统内共振锁相周期解的多频摄动法。最后给出该法的若干应用。
This paper extends the idea of Lindstedt's frequencies expansion into the non-linear autonomous sys-tems with many degrees of freedom and describes a multiple-frequency perturbation approach of the phase-locked periodic solutions for the case of the internal resonance by way of the non-linear trasformation ofthe independent variable.Finally,two application examples of the present method are given.
出处
《振动工程学报》
EI
CSCD
1993年第2期135-142,共8页
Journal of Vibration Engineering
基金
国家自然科学基金
中山大学科研基金资助项目
关键词
多自由度
非线性振动
锁相周期解
多频摄动法
many degrees freedom,non-linear vibration system,phase-locked periodic solution,multiplefrequency perturbation approach
