Research on Tolerance Design of 2K-V Reducer with Beveloid Gear Considering the Effect of Anti-Backlash

A mathematical model for calculating the lost motion of the 2K-V reducer with beveloid gear was established, considering the influence of assembly-induced error factors and the effect of backlash elimination. Sensitivity analysis was conducted on each error factor, and in combination with actual manufacturing processes, a set of tolerance correction values was designed using the Monte Carlo method. Based on these tolerance values, prototype manufacturing and performance testing were carried out. The validity of the proposed theoretical model was verified through experimental validation. The results indicate that three significant factors affecting the overall lost motion are the radial clearance of the tapered roller bearing, the backlash of the involute spline, and the radial runout of the small tooth difference gear. The tolerance correction reduced the difficulty of actual manufacturing, allowing the three highly sensitive error ranges to be relaxed to 757.58 times, 1.26 times, and 8.63 times of their original values, when the lost motion of the whole machine is less than 1arcmin.