Analysis of optimal profile modification amount of spur gear under disturbance of backlash and center distance

Under high temperature conditions, backlash and center distance of gear pair deviate from the preset value, which makes original modification amount deviate from the optimal value. The Finite Element Method was used to verify the deviation of the optimal modification amount under the disturbance of backlash and center distance. Taking the backlash, center distance variation and modification amount as independent variables and the transmission error fluctuation as dependent variables, the mapping relationship between the four factors was established by the Kriging model, Then, the law of the influence of the three variables on the transmission error fluctuation was analyzed, and the optimal modification amount after the backlash and center distance disturbance was obtained. The results showed that when the resistance moment is constant, the increase of modification amount and backlash value leads to the increase of transmission error fluctuation, while the increase of center distance reduces the transmission error fluctuation. Among the three variables, the transmission error fluctuation is the most sensitive to backlash, followed by modification amount and the change of center distance. The modified modification amount reduces the transmission error fluctuation by 2.4% and the contact force fluctuation by 14.9%. (paper)