Research on Digital Design and Tooth Shape Optimization of Non-circular Gears Based on Envelope Features

Based on the principle of gear meshing and differential geometry theory， the motion coordinate conversion relationship between the gear cutter and the non-circular gear tooth blank is obtained， and the machining process of the non-circular gear tooth profile is simulated. At the same time， in view of the impact vibration and noise problems in the process of non-circular gear transmission， a precise， efficient and general modification design method of non-circular gear tooth profile is obtained by taking the modification of gear shaping cutter as the means and the modification of non-circular gear tooth profile as the purpose. The kinematic simulation of the non-circular gears before and after modification is carried out using the dynamic simulation software. It is obtained that the impact vibration phenomenon of the modified non-circular gear in the transmission process is significantly weakened， which verifies the correctness of the modification method. It can reduce the tooth surface wear and increase the s