Research On Flash Temperature Of No Clearance Precision Steel Ball Equal-speed Transmission And Dynamic Performance Analysis For The System

The constantly no clearance precision ball transmission is a new type of small teeth difference planetary transmission,which has advantages of high efficiency,low noise,strong load capacity,miniaturization structure and so on.So it is widely used in precision mechanical area.On the basis of the four-point contact model,the flash temperature of the equal-speed transmission and the dynamic response of the system are analysed.The transmission working principle is introduced.Based on the four-point contact model of steel ball meshing pair,the formulas of the spin speed on the loaded contact points and the relative sliding speed in the contact area of each contact point are studied.Considering the preload force,the meshing forces of the meshing pairs are calculated according to Hertz theory,and the best size relation between design parameters is derived according to stress analyses.According to Blok theory,calculating formulas of instantaneous temperature rising of engagement pairs are derived by using flash temperature formulas.By the use of MATLAB programming,the security loads of different design parameters are calculated,the changing curves of transient contact temperature rising of engagement pairs under security load in one motion cycle are drawn.Meantime,the effects on instantaneous contact temperature rising caused by design parameters are studied.The interaction forces and torques between the components are expressed by vibration displacement.Based on Newton's second law,the six degree coupling dynamic model of the transmission system with double planetary disk and five degree dynamic model of the traditional transmission system in three directions are established in the following coordinate system of the eccentric shaft.The fourth-order fifth-grade Runge-Kutta method is adopted to solve the nonlinear differential equations,the dynamic response of both model are calculated,and are analysed comparatively.Taking the amplitude of the output disk as standard,the stationarity of the transmission system is analysed,and the effects on the stationarity caused by design parameters are studied.The dynamic load of the system and the security load considering the dynamic load and the critical bonding temperature are analysed.The effects on them caused by design parameters are studied.Then the transmission performance including the stationarity and the security load under dynamic response are multi-objective optimized based on the optimization theory.