螺旋变性展成法加工锥齿轮副的建模与仿真分析
Modeling and Simulation Analysis of Spiral Bevel Gear Processing Using Spread-Out Helix Modified Roll

针对螺旋锥齿轮副接触区呈现对角线接触的传统加工，提出了一种新型的螺旋锥齿轮加工方法-螺旋变性展成法。该方法大轮采用展成法加工，小轮采用螺旋变性法加工。给出了刀具和工件的加工运动关系，利用齿轮啮合原理，分别建立了加工大轮和小轮的刀盘切削面方程及啮合方程。并由此获得大轮和小轮的齿面方程。依据齿面方程分别构建了齿轮副的三维模型，并进行啮合仿真分析。分析结果表明，使用螺旋变性展成法加工螺旋锥齿轮副可以从理论上避免接触区呈对角线接触的现象。
The contact zone of the traditional processing of spiral bevel gears prevents diagonal tooth contact problem. Therefore, the spread-out helix modified roll is used. The passive gear is machined by the generation method; the drive gear is machined by the helix modified roll method. According to the principles of these new methods, given the movement of the machine tool, then based on the gear meshing theory, the equations for cutting tool surface and the individual gear meshing equation are established respectively. The mathematical models of cutting tooth surfaces are obtained. The three-dimensional (3D) models of gear pairs are built based on the equations for cutting tooth surfaces. Finally, the computer simulation analysis is carried out. The analysis results show that the bias of the tooth contact zone is essentially prevented by using the spread-out helix modified roll