Study Reseach Of Periodic Motion And Bifurcation Characteristics For Friction-impact Vibration System

This paper mainly studies the dynamic characteristics of a collision-vibration system with friction-shock vibration and a friction-orthogonal gear transmission system in a mechanical system.According to the specific physical model,the equation dynamics differential equations are listed.In the numerical calculation,the equations are dimensionlessly processed,and different simulation analysis diagrams reflecting the system motion characteristics are obtained through C language programming and software drawing(global bifurcation diagram,Partial maps,phase diagrams,time response diagrams,and Poincaré maps)of the bureau are used to study the bifurcation characteristics of the system when the parameters and excitation frequencies change,and the periodic and chaotic motions of the system in different excitation frequency domains are analyzed..In the general study,the contact form between the collision surfaces is regarded as a rigid collision.In this paper,there is a spring constraint between the two mass body contacts.Therefore,the system collision model is an elastic collision,and the elastic collision model is closer to the actual situation than the rigid collision model.Its simulation and research have a certain guiding effect on engineering applications.This paper mainly studies the two-degree-of-freedom frictional impact vibration system.The two masses in the system are connected by springs.When the system collides,it will be constrained by the elasticity of the springs,elastic collisions will occur,and the impact of different system collision gaps on the system's impact vibration will result.big different.A two-degree-of-freedom dry friction collision vibration system with one-sided clearance was established.The relative stability of the system under the influence of different parameters was analyzed.The relative optimized range of each parameter was determined,which provided a theoretical basis for practical engineering application.A two-degree-of-freedom double clearance dry friction model was established to study the effect of bilateral clearance on the system motion.Because the system has two collision surfaces during the vibration movement,the system's motion variation is very different from the one-sided collision.When the absolute value of the relative displacement difference of the two masses is equal to the given clearance value,the system will collide when the system moves.At both collision cross sections,the displacement and velocity of the system will be affected by the impact force of the collision.In the event of a sudden change,the system will acquire a new initial value and start a new collision movement after the collision.Different collision vibration systems are analyzed to illustrate the movement characteristics of different systems when the parameters are different.As a new type of gear transmission system,orthogonal gears are widely used in the aerospace field and have the advantages of high transmission ratio,compact structure andlarge torque.A torsional-impact coupled nonlinear vibration system with frictional orthogonal face gearing including nonlinear time-varying meshing stiffness,nonlinear backlash,input load,meshing damping and transmission efficiency was established.Dynamic model.The numerical simulation method is used to simulate the system,and the simulation analysis diagram that can reflect the movement characteristics of the system is obtained,and the dynamic performance of the system is analyzed.Provide theoretical basis for the shock absorption and noise reduction of the orthogonal gear transmission system.