Mathematical Model of the Generated Gear Tooth Surfaces for the Function-oriented Design of Point-contact Tooth Surfaces of Spiral Bevel and Hypoid Gears

机译：螺旋锥螺旋锥齿齿面向圆形齿面向功能设计的齿轮齿表面的数学模型

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A general mathematical model for the generated gear tooth surfaces of spiral bevel and 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 tooth surface is described on the axial plane of the gear, and then the detailed formulae for the design with the generated gear are derived from the mathematical model. The mathematical model and the formulae can be used in the function-oriented design of point-contact tooth surfaces of spiral bevel and hypoid gears with the gear generated in different types on both the three-axis CNC bevel gear machine and the conventional cradle one.

机译：基于三轴CNC锥齿轮机建立了螺旋锥和双瓦齿轮的产生齿轮齿表面的一般数学模型。根据点接触齿表面的函数导向设计的原理和方法，在齿轮的轴向平面上描述了齿面上的空间齿接触点的基因座，然后用设计的详细公式产生的档位来自数学模型。数学模型和公式可用于螺旋锥和双瓦齿轮的点接触齿表面的圆形接触齿表面的设计设计，其中三轴CNC锥齿轮机和传统的支架上的不同类型产生的齿轮。

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《International Conference on Measuring Technology and Mechatronics Automation》|2011年||共5页
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作者
Wu Xuncheng;
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中图分类 TM93-53;
关键词
Function-oriented Design; Generated Gear; Hypoid Gear; Point-contact Tooth Surface; Spiral Bevel Gear;

机译：面向功能设计;产生的齿轮;双瓦齿轮;点接触齿面;螺旋锥齿轮;

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4. Mathematical Model of the Generated Gear Tooth Surfaces for the Function-oriented Design of Point-contact Tooth Surfaces of Spiral Bevel and Hypoid Gears [C] . Wu Xuncheng Third International Measuring Technology and Mechatronics Automation . 2011

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7. An Accurate Approach to Modeling the Genuine Tooth Surfaces of the Face-Milled Spiral Bevel and Hypoid Gears [O] . Xie Shuangxi 2012

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8. Mathematical Models for the Synthesis and Optimization of Spiral Bevel Gear Tooth Surfaces [R] . Litvin, F. L., Rahman, P., Goldrich, R. N. 1982

机译：螺旋锥齿轮齿面合成与优化的数学模型

Mathematical Model of the Generated Gear Tooth Surfaces for the Function-oriented Design of Point-contact Tooth Surfaces of Spiral Bevel and Hypoid Gears

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