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Research Papers

A Pressure Angle Function Method for Describing Tooth Profiles of Planar Gears

[+] Author and Article Information
Lin Jing

School of Mechanical and Electronic Engineering, Shanghai Normal University, Shanghai 201418, P.R.C.

J. Mech. Des 131(5), 051005 (Apr 06, 2009) (8 pages) doi:10.1115/1.3042161 History: Received May 22, 2008; Revised October 22, 2008; Published April 06, 2009

A general mathematical model for describing the geometries and the geometric characteristics of meshing tooth profiles of planar gears is established. The function of pressure angle in the angular displacement of gears, called the pressure angle function (PAF), is introduced to characterize this model. The different tooth profiles and their geometric properties could be generated and analyzed logically and systematically by using this model and defining various PAFs. This new method is applicable to any type of gear pairs including circular or noncircular. In addition, by using this method, it is relatively easy to realize the desired geometrical and mechanical properties into the design.

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Copyright © 2009 by American Society of Mechanical Engineers
Topics: Gears , Pressure
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References

Figures

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Figure 1

Conjugate tooth profiles of noncircular gears

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Figure 2

Sliding coefficients

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Figure 4

Pressure angle function of spur gears

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Figure 5

Pitch curve and pressure angle

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Figure 6

Egg-shaped gears

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Figure 7

Geometric properties of egg-shaped gears

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Figure 8

Ellipse gears of polynomial PAFs

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Figure 9

Comparison of integrated curvatures

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Figure 10

Comparison of sliding coefficients

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Figure 11

Integrated curvatures of tooth profiles

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Figure 12

Sliding coefficients of tooth profiles

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