Geometric contact characteristics and sensitivity analysis of variable hyperbolic circular-arc-tooth-trace cylindrical gear with error theory considered

Abstract

Gear transmission characteristics are the most important research contents in gear transmission, and contact characteristics are important factors that affect gear transmission performance. The establishment of tooth surface contact analysis (TCA) model of a gear pair plays a guiding role in analyzing its contact characteristics. The rotary surface equation of the variable hyperbolic circular-arc-tooth-trace (VH-CATT) cylindrical gear cutter is obtained with the large cutter forming principle, and the mathematical model of the gear tooth surface is established based on the gear meshing conditions. With the influence of installation error on gear contact performance considered, a TCA model with installation error was established. The influence of different installation errors and different design parameters on the geometric contact characteristics and sensitivity of the gear pair is analyzed. The analysis results show that the central distance error may affect the contact ratio of the VH-CATT cylindrical gear pair and that the shaft parallelism error has a great influence on its transmission characteristics, greatly changing the size and position of the gear pair contact area. The design parameters also affect the size and location of the contact area to various degrees.