Theoretical And Experimental Research On The Two-sided Transmission Error Of Cylindrical Gear

This subject comes from the National Natural Science Foundation of China(51275538).Gear transmission errors and backlash are important factors that affect the accuracy of the precision transmission system,and eccentricity errors caused by processing and assembly are the main sources of large-cycle transmission errors and periodic backlash.In high-speed light load or alternating load moment gear drive and meshing drive without backlash,back-side meshing usually occurs.In this paper,the continuous measurement and prediction of backlash are studied based on the transmission errors of drive-side and back-side(two-sided)under the double eccentricity error.This thesis focuses on the following topics:(1)The calculation model of the unloaded transmission error based on the drive-side and back-side of the double eccentric error gear pair is proposed,and the equivalent relationship with the time-varying backlash calculation formula is established.The equivalence relationship theoretically proves that the backlash of the gear pair can be obtained indirectly by unloaded transmission error of drive-side and the unloaded transmission error of back-side with the initial backlash,which provides a theoretical basis for transmission error simulation and experiment.(2)The accuracy of the theoretical model of two-sided transmission error is tested by the simulation of the multi-body dynamics software Recur Dyn.The gear dynamic transmission error under alternating load is simulated.When the load is reversed,the dynamic transmission error jumps.The amount of jump is the backlash at this moment,and the drive-side and the back-side alternately mesh.Combined with the theoretical model and simulation results of the two-sided transmission error,a method for optimal configuration of the initial phase of the transmission error is given.The results show that the transmission error amplitude can be effectively reduced and the transmission accuracy can be improved by reasonably arranging the initial phase of the gear eccentricity error.(3)A two-sided transmission error measurement test bench is built,and an experimental data acquisition system based on Lab VIEW is designed.Through the experimental method,the two-sided transmission error with different initial meshing surfaces and different loads is measured and the initial backlash under corresponding hysteresis is received.The theoretical hysteresis is obtained through stiffness calculation.The results show that the relationship between the initial hysteresis and the load is linear,which is in good agreement with the experimental results.(4)By measuring the transmission error and initial hysteresis of the two-sided transmission,the continuous backlash curve of the gear pair is obtained.Based on the backlash calculation model and the back-side transmission error curve with the initial backlash,the prediction of the whole large period backlash of the gear pair is realized.The results indicated that the curve of the continuous backlash correlated very well with the results of the mechanical hysteresis method,and the prediction of the backlash reflects the range and trend of the backlash value.At the same time,the method of continuous measurement and prediction of backlash prove the correctness of the theoretical model.