高重合度斜齿轮多齿对啮合的补偿修形设计与分析

To accurately calculate the amount of the tooth surface modification to reduce the amplitude of load transmission error (ALTE), considering the load-bearing deformation of the teeth between different meshing areas in the process of gear meshing, a design method of compensation modification for multi-pair contact of high contact ratio helical gears is proposed. The transmission error of modified tooth surface is predesigned based on the magnitude and direction of ALTE of the standard tooth surface under the design load, and the precise compensation modification in different meshing areas of the tooth is realized by optimizing the TE to control the value of the tooth surface modification. The model of a further longitudinal modified tooth surface is established, and the additional angle of rack cutters and the parameters of the longitudinal correction are taken as the optimization variables. The optimal tooth surface modification values are determined by the fast elitist non-dominated sorting genetic algorithm (NSGA-II) based on the minimum ALTE. The results show that the change of load-bearing deformation caused by the change of meshing pairs is the main cause for the fluctuation of the ALTE. After the tooth surface compensation modification, the ALTE decreases greatly, and under the designed load, the ALTE drops to almost zero. The further longitudinal correction can also effectively compensate the difference of tooth deformation between different meshing areas of the teeth, avoiding the edge contact, and reducing the vibration and noise of gears.