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

[+] Author and Article Information
Qi Fan

 The Gleason Works, 1000 University Avenue Rochester, NY 14692-2970qfan@gleason.com

J. Mech. Des 129(1), 31-37 (Apr 06, 2006) (7 pages) doi:10.1115/1.2359475 History: Received January 26, 2006; Revised April 06, 2006

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.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

Concept of hypoid gear generation

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Figure 2

Tooth lengthwise curve of face milling

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Figure 3

Tooth lengthwise curve of face hobbing

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Figure 4

Geometry of the blade edge

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Figure 5

Illustration of hook, rake, and offset angles

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Figure 6

A kinematical model of hypoid generators

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Figure 7

Condition of tooth surface tangency

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Figure 8

Coordinate systems S1, S2, and Sf

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Figure 9

Determination of the length of contact lines

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Figure 10

TCA output of design A

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Figure 11

TCA output of design B



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