卧式振动离心机的非线性动力学分析  

Nonlinear Dynamics Analysis of Horizontal Vibrating Centrifuge

作　　者：冯银兵 FENG Yin-bing(College of Mechanical and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou Gansu 730070, China)

机构地区：[1]兰州交通大学机电工程学院,甘肃兰州730070

出　　处：《机械研究与应用》2016年第3期22-25,共4页Mechanical Research & Application

摘　　要：针对卧式离心机振动系统,将其简化为一个含弹性约束两自由度振动系统的力学模型,推导出系统周期运动的解析解以及Poincaré映射。通过计算机数值仿真,揭示了系统在激励的作用下存在着倍周期分岔,Hopf分岔,并且给出了发生分岔时的具体参数以及通向混沌的道路。对离心机非线性动力学的研究提供理论参考。In this paper, the horizontal centrifuge vibration system is simplified to a mechanical model which is with elastic restraint two-degree-of-freedom vibration system, and then the analytical solution of periodic motion and the Poincare map are derived. Computer numerical simulation reveals that there are period-doubling bifurcation and Hopf bifurcation in the system under the role of incentives, which gives the specific parameters of bifurcation occurs and the path to chaos. This method provides theoretical reference for study on the nonlinear dynamics of the centrifuge.

关 键 词：振动系统 PoincariS映射 分盆 混屯 

分 类 号：TH113.1[机械工程—机械设计及理论]