大阻尼多自由度非线性振动系统另一摄动解  

The Solution in Another Perturbation Method for Nonlinear Vibration System with Multi-degree of Freedom at the situation of Finite Large Damping

作　　者：周一峰[1] 李骊[1] 

机构地区：[1]长沙铁道学院,北京工业大学

出　　处：《长沙铁道学院学报》1995年第1期80-90,共11页Journal of Changsha Railway University

基　　金：国家自然科学基金

摘　　要：本文用基于ＫＢＭ法的摄动法研究大阻尼二自由度非线性振动系统（ｉ＝１，２）的渐近解．井考察了二自由度大阻尼Ｖａｎｄｅｒｐｏｌ方程组，所得结果与数值解对照，吻合较好．In this paper, the non-linear vibration system with two - degree of freedom at the situation of finite large damping is studied by means of perturbation method based on KBM method. The paper also studies Van der pol equations with two - degree of freedom at the situation of finite large damping and compares them with numerical solutions. The comparison shows that the result by this method coincides well with mumerical solut tions.

关 键 词：大阻尼 多自由度 非线性振动系统 摄动法 

分 类 号：O32[理学—一般力学与力学基础]