Enhanced Algorithms of Contact Simulation for Hypoid Gear Drives Produced by Face-Milling and Face-Hobbing Processes

Enhanced Algorithms of Contact Simulation for Hypoid Gear Drives Produced by Face-Milling and Face-Hobbing Processes
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DOI:
10.1115/1.2359475
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发表时间:
2007
影响因子:
3.3
通讯作者:
Q. Fan
Q. Fan
中科院分区:
工程技术3区
文献类型:
--
作者:
Q. Fan

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弧齿锥齿轮和准双曲面齿轮的齿面展成建模和接触仿真是弧齿锥齿轮和准双曲面齿轮计算机设计与制造的重要组成部分。本文介绍了这一学科的新进展。具体地说,本文包括:(I)建立了在自由曲面计算机数控准双曲面齿轮生成器上加工的弧齿锥齿轮和准双曲面齿轮的齿面生成通用模型,该模型结合了通用运动概念(UMC);(Ii)减少了非线性迭代方程的数量并稳定了迭代收敛;(Iii)确定了形成接触模式的接触线的数值确定算法。改进的接触模拟方法可普遍应用于其他形式的齿轮。通过两个实例--端面滚切设计和端面铣削设计--验证了所提算法的实现。
Modeling of tooth surface generation and simulation of contact is an important part of computerized design and manufacturing of spiral bevel and hypoid gears. This paper presents new developments in this subject. Specifically, the paper covers: (i) development of a generic model of tooth surface generation for spiral bevel and hypoid gears produced by face-milling and face-hobbing processes conducted on free-form computer numerical control (CNC) hypoid gear generators which are incorporated with the Universal Motions Concept (UMC); (ii) a modified algorithm of tooth contact simulation with reduced number of equations of the nonlinear iterations and stabilized iteration convergence; and (iii) an algorithm of numerical determination of contact lines that form the contact patterns. The enhanced approach of contact simulation can be generally applied to other forms of gearings. Two examples, a face-hobbing design and a face-milling design, are illustrated to verify the implementation of the developed algorithms.