摘要
对一类两自由度含间隙非光滑弹性碰撞系统模型进行了自由振动状态下的模态分析。在建立系统动力学模型的基础上,基于Galerkin法以不变流形建立了系统的非线性模态,构造出系统的一阶及二阶不变流形,进一步分析了系统各阶模态的动力响应。通过数值仿真,得到了各阶模态的相位图及幅频响应曲线,并应用特征乘子法和Poincaré映射的方法对系统模态进行了稳定性分析。
In the paper,the NNM of the elastic collision model with a clearance is analyzed under its free vibration.Based on the establishment of model and Galerkin method,the nonlinear normal modes are established too,the first order and second order invariant manifold of the system are constructed,the dynamic response of the different modal are further analyzed.Through numerical simulation,phase image and amplitude-frequency response curves are got,and the system medal is analyzed by using characteristic multiplier and Poincaré map method.
出处
《机械研究与应用》
2012年第6期26-29,32,共5页
Mechanical Research & Application
关键词
非线性模态
模态分析
不变流形
nonlinear normal modes
piecewise linear
invariant manifold
