分段线性振动机械周期运动稳定性研究  

Stability of Periodic Motions of Nonlinear Mechanism with Piece wise Linearity

作　　者：文成秀[1,2] 姚玉玺[1,2] 闻邦椿[1,2] 富文敏 

机构地区：[1]东北大学 [2]中科院现代制造CAD/CAM开放实验室

出　　处：《机械科学与技术》1997年第2期257-260,共4页Mechanical Science and Technology for Aerospace Engineering

摘　　要：利用胞映射法对具有分段线性非线性特征的弹簧摇床的周期运动稳定性进行了分析研究，分析域中胞的总数是４２０，３２０个，用计算机数值模拟出该系统的Ｐ－１周期运动的时间历程及相应的周期运动的吸引域。本文对弹簧摇床五种阻尼参数下的全局性态进行了分析。The Global behaviour of a nonlinear mechanism with piece wise linearity is analysed by Cell to Cell Mapping method. There are 420,320 cells in analysis domain. The time history curves of the P 1 periodic motion and its domains of attraction are simulated by computer. The influence of damping on the stability of the periodic motion is found by means of analysing global behavoiur for five damping parameters in the system.

关 键 词：线性 非线性 振动机械 周期运动稳定性 

分 类 号：TH113.1[机械工程—机械设计及理论]