Function-oriented design of point-contact tooth surfaces of hypoid gears with the generated gear

Establishing a general technical platform for the function-oriented design of point-contact tooth surfaces of hypoid gears is an important fundamental work to the convenient practical use of the function-oriented design and the further technical research of hypoid gears.A general mathematical model for the generated gear tooth surfaces of hypoid gears is established based on the three-axis CNC bevel gear machine.According to the principle and the method for the function-oriented design of point-contact tooth surfaces,the locus of spatial tooth contact points on the gear tooth surface is described on the axial plane of the gear,and then the detailed formulae for the function-oriented design with the generated gear are derived from the mathematical model.The formulae can be used in the function-oriented design with the gear generated in different types on both the three-axis CNC bevel gear machine and the conventional cradle one.And lastly an example is given to demonstrate the function-oriented design of point-contact tooth surfaces of the hypoid gear drive with the generated gear.