Contact Analysis for Spiral Bevel Gear Based on Machine Parameters

Abstract

In traditional machining process, the calculation of machine tool adjustment parameters only focuses on calculating the middle point of tooth surface, so it will lead to contact defects such as root contact or diagonal contact of spiral bevel gears. It is necessary to carry out multiple hobbing checks on gear pairs and adjust the setting parameters of machine tools to meet the applying requirements. Based on the above problems, the mathematical model of the machine and the cutter is proposed by studying the adjustment parameters and the processing principle of the spiral bevel gear machine. According to the kinematic relationship between the parts of machine tools and the meshing principle of gears, the tooth surface equation is established. The meshing method is used to discretize the tooth surface. The calculation method of initial value of cutting depth and rotation angle of cutter spindle is studied, and the tooth surface equation is analyzed and solved. Based on the tooth surface equation and gears assembly model, the contact equation is established to calculate the contact path and transmission error. The influence of machine tool adjustment parameters on contact path and transmission error is investigated.