The Viscous And Bifurcation Characteristic Research Of Collision Vibration System

Vibration impact system is one of the most common nonlinear dynamic systems in thedaily life and industrial production. Chattering and Grazing is cannot be ignored in collisionvibration system of two kinds of novel nonlinear dynamic phenomenon. Chatteringphenomenon has been in the field of aerospace, vehicle braking, machine tool production, etc,the application of through research also concluded that flutter of engineering equipment,industrial buildings, and processing components of hazards and damage. Also, the Grazingphenomenon has a lot of research. Through the study found that Chattering and Grazingphenomenon make non-smooth system showed mach smooth system does not have thecomplex dynamic behavior, so the study of Chattering and Grazing is very important and verynecessary.This article mainly has two parts of content. The first part of double side clearancedouble degree of freedom collision system dynamic behavior to make analysis and research.First of all, through the numerical simulation of the system global bifurcation diagram andphase diagram to show bifurcation and graze phenomenon of the system. And then, maketheoretical derivation to Containing viscous vibration behavior of the system. Then throughfour order variable step size Ge kuta method of C language programming, MATLAB software,such as numerical simulation to verify the results of the theoretical derivation. By study,chattering behavior of the system is divided into containing viscous vibration and does notcontain viscous vibration, and gives the relation and distinction between two types ofvibration, and the parameters affecting the behavior of two kinds of vibration.The second part of the type of collision of two single degree of freedom vibrationsystems is given. Also make research to dynamic behavior of the system. Mainly through thenumerical simulation to grazing behavior has made the research on it. In the globalbifurcation diagram obtained by numerical simulation, and glancing near the point of phasediagram. Through bifurcation diagram can see discontinuous phenomena and the phasediagram can be seen grazing points when the impact velocity is zero. Finally it is concludedthat cluster phenomenon led to the collision vibration system of the poincare map isdiscontinuous, make its singularity. Then the systems contain viscous vibration behavior alsodo the same.