The experimental research on gear eccentricity error of backlash-compensation gear device based on transmission error

Backlash compensation is a research focus in precision gear transmission, and eccentricity error is the main factor which leads to transmission error(TE) with large period and periodically variable backlash in gear transmission, therefore, the eccentricity of gear has to be considered in anti-backlash. Firstly, the dual-eccentricity model for calculating the transmission error caused by eccentricity errors of gears is presented based on external parallel-axes gear transmission. Then, the tests are carried out at different input speed and initial starts for acquiring transmission error of the designed backlash compensation device, and the eccentricity error of the gear is identified from the testing data of transmission error by curve fitting based on the calculation model. Both the value and phase of the fitting eccentricity error are well coincident with the calculating model. Finally, the fast Fourier transform (FFT) is also employed to analyze the value of the eccentricity error. The results of the FFT are closed to the fitting values. The work is helpful for obtaining the eccentricity error of gear from the testing results of transmission error, which is useful for forecasting the TE caused by eccentricity error and provides important reference for backlash compensation and control.