多自由度非线性振动系统的内共振  

On Internal Resonance of Nonlinear Vibrating Systems with Many Degrees of Freedom

作　　者：刘世龄[1] 徐兆[2] 

机构地区：[1]香港理工学院 [2]中山大学

出　　处：《应用数学和力学》1992年第1期27-34,共8页Applied Mathematics and Mechanics

摘　　要：本文研究多自由度非线性自治系统的周期解问题,我们推广了KBM法,本方法可以求得极限环的相图,振幅,周期及其稳定性.The problem of periodic solutions of nonlinear autonomous systems with many degrees of freedom is considered. This is made possible by the development of a modified version of the KBM method[1].The method can be used to generate limit cycle phase portrait, amplitude, period and to indicate stability of the limit cycle.

关 键 词：非线性振动 锁相周期解 内共振 

分 类 号：O322[理学—一般力学与力学基础]