Research On Nonlinear Dynamics Of Crank Bearing System

Cycloidal pinwheel reducer is an ultra-precision reducer used in the field of industrial robots,and the crank bearing system is the key component of the cycloid pinwheel reducer to realize transmission and torsion.In practical applications,the crank bearing system often fails due to nonlinear factors,which affects the performance of the cycloid reducer.Therefore,it is necessary to study the nonlinear dynamics of the crank-bearing system.This paper takes the crank bearing system of the cycloid pinwheel reducer as the research object,considers the coupling effect of multiple nonlinear factors,establishes the relevant dynamic model,and derives the differential equation of motion,and uses the numerical integration method to solve the steady-state response of the system.Analyze the influence of different parameters on the response characteristics of the system,and the specific research contents are as follows:(1)Through the transmission mechanism of the cycloidal pinwheel reducer,analyze the role of the crank bearing system in the cycloidal pinwheel reducer,and point out the influence of nonlinear factors in actual operation.(2)Use the equivalent model method to establish the nonlinear dynamic model of the crank-bearing system under external excitation.use the Newton method to derive its differential equation of motion.use the Runge-Kutta method to solve the steady-state response of the system.Combining bifurcation diagrams,Poincaré section diagrams,etc.analyze the influence of gaps,damping and other parameters on the steady-state motion of the system.(3)Taking into account the effect of rubbing factors,the equivalent model method is used to establish the nonlinear dynamic model of the seven-degree-of-freedom crank-bearing system.the Newton method is used to derive the differential equation of motion.the Runge-Kutta method is used to stabilize the system The response is solved.combined with bifurcation diagrams,phase diagrams and Poincaré section diagrams,the effects of parameters such as speed and rubbing stiffness on the steady-state motion of the system are analyzed.The research results of this paper provide a certain theoretical reference for the nonlinear dynamics of the transmission performance of the cycloid pinwheel reducer and the stability analysis of the transmission performance in the actual project.