展成法大轮准双曲面齿轮点啮合齿面主动设计

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

为准双曲面齿轮传动点啮合齿面主动设计建立通用的技术平台对于方便点啮合齿面主动设计的实际应用和更加深入的锥齿轮技术研究都是一项重要的基础工作。基于三轴联动锥齿轮机床建立准双曲面齿轮展成法大轮齿面的通用数学模型。根据点啮合齿面主动设计的原理和方法,在大轮轴截面内描述空间齿面啮合的接触点迹线,推导得到了展成法大轮点啮合齿面主动设计所需要的具体计算公式。这些公式可用于不同展成型式的展成法大轮点啮合齿面主动设计。最后,给出了一个展成法大轮准双曲面齿轮传动点啮合齿面主动设计的算例。

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.