摘要
提出一种渐近方法用来处理一类多自由度强非线性自治振动系统，它是新渐近方法￣［１］的推广。本方法适用于主共振情形，我们建立了振幅和相位所满足的方程。文末用两个例子说明本方法的有效性。
In this paper,an asymptotic method is presented for the analysis of a class ofstrongly nonlinear autonomous vibrating systems with many degrees of freedom。It can beviwed as a generalization of the new asymptotic method￣[1].This method is suitable for thesystems in which primary resonance may occur。Using the present method the equationsgoverning the amplitudes and the phase factors are established.Two numerical examplesare presented which served to demonstrate the effectiveness of the present method。
出处
《力学学报》
EI
CSCD
北大核心
1995年第5期577-586,共10页
Chinese Journal of Theoretical and Applied Mechanics
关键词
周期解
主共振
非线性振动
渐近解
strongly nonlinear systems with many degrees of freedom,asymptotic method,periodic solution, primary resonance
