Analysis Of Grazing Bifurcation And Dynamics Research In Vibro-impact Systems

Collisional vibration is a phenomenon that our daily life often encounters and has a vital role in the engineering field.It belongs to the field of nonlinear system dynamics,and there is often the dynamic behavior of grazing.This paper focuses on the existence of friction collision vibration of the grazing problem.Firstly,this paper studies a kind of friction-collision vibration system,and then considers the existence of the grazing periodic orbit and classifies it.By means of Poincare mapping,it can find out the corresponding grazing cycle type and its corresponding rub Side point.Then,considering the existence of the periodic solution of the nT period,and the analysis of the system's grazing cycle n motion is transformed into the analysis of the fixed points on the Poincare section,and the system satisfies the correlation Condition,the grazing cycle n motion occurs on the collision vibration system.Then,the stability of the periodic n motion of the grazing cycle is discussed.The expression of the discontinuous mappings is obtained by the discontinuous grazing mapping.Finally,the expression of the discontinuous mapping is obtained.By analyzing the stability of the periodic n track of the system by using the mapping method must meet the relevant conditions.Finally,the numerical simulation is carried out to verify the previous conclusions.In this paper,a non-linear dynamic model of single-stage gear system is established by u-sing the centralized mass method for nonlinear factors affecting the dynamics of gear system.By using the method of numerical simulation,the differential equation of the system motion is established,and the nonlinear factors affecting the gear system are analyzed.The change of time-varying meshing stiffness is controlled by numerical simulation,and the bifurcation diagram,phase diagram and Poincare map of the system are analyzed.By comparing and analyzing these images,the values of the parameters favoring the motion of the system are obtaine-d.Control the value of the static load of another nonlinear parameter.By changing its value,the bifurcation diagram of the system motion is compared and analyzed.Through the comprehensive analysis,some reference conclusions are given to the motion parameters of the gear system.