Simulation Analysis for the Motion of New Type of Gear with Circular Arc Tooth Trace

Abstract

The new type of gear with circular arc tooth line is a new type of gear with good meshing ability, high degree of overlap, good smoothness of transmission, almost no noise, theoretical basis for high-speed operation, and can adapt to long working hours. According to its tooth equations, the three-dimensional model of the gear was established in SolidWorks, and after the assembly of the major and minor gears was completed, the Motion analysis module was used to simulate the kinematics of the new circular arc cylindrical gear, and the corresponding angular velocity curves of the master and driven wheels were obtained. In order to better understand the effect of the fluctuation of the kinematic speed of the circular arc cylindrical gear at different modulus, different tooth widths and different tooth numbers, kinematic analysis was carried out by ANSYS analysis software. A modal finite element analysis of the new circular cylindrical gear was also carried out to calculate the first 15 orders of inherent frequency and principal vibration pattern of the circular cylindrical gear, as well as the corresponding maximum deformation. The results show that: (1) the actual ratio of the gear in the transmission process and the theoretical value of 1.463 and 1.458 respectively and the two ratio curves basically match, indicating that the smoothness of the transmission is good. (2) The larger the modulus of the gear, the more teeth and the width of the teeth between 0.33d and 0.43d, the smaller the speed fluctuation coefficient of the gear pair in the transmission process, the better the transmission smoothness. (3) Through the solution results, it is determined that the arc tooth line cylindrical gear basically does not deform at the low order inherent frequency, while at the middle order inherent frequency, it shows the convex vibration, the highest deformation, and the main vibration pattern tends to elliptical at the high order inherent frequency.