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Non-involute Gear Profiles

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Encyclopedia of Tribology

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Definition

Any gear whose transverse profile is not an involute can be described as a non-involute gear. This chapter contains descriptions of two types of non-involute gear, the cycloidal gear and the circular arc gear.

Scientific Fundamentals

Cycloidal Gears

The transverse tooth profile of a cycloidal gear is defined in two parts. The profile addendum is defined as the locus of a point on the circumference of a circle as it rolls without slipping around the outside of the gear pitch circle. This circle is called the generating circle, and the curve defined in this manner is called an epicycloid. The profile dedendum is defined as the locus of a point on a second generating circle, as it rolls without slipping round the inside of the gear pitch circle, and this curve is called a hypocycloid. The generation of the cycloidal gear tooth profile is described by Davis (Davis 1970).

For any pair of cycloidal gears to mesh correctly, their circular pitches must be the same. The addendum...

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References

  • E. Buckingham, Analytical Mechanics of Gears (McGraw-Hill, New York, 1949) (republished by Dover, New York, 1963)

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  • N.P. Chironis, Design of Novikov gears, in Gear Design and Application, ed. by N.P. Chironis (McGraw-Hill, New York, 1967)

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  • W.O. Davis, Gears for Small Mechanisms (N.A.G. Press, London, 1970)

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Alberta, 4-9 Mechanical Engineering Building, Edmonton, AB, Canada

    Prof. John R. Colbourne (Professor Emeritus)

Authors
  1. Prof. John R. Colbourne
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Correspondence to John R. Colbourne .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering and Center for Surface Engineering and Tribology, Northwestern University, Evanston, IL, USA

    Q. Jane Wang

  2. Department of Materials Science and Engineering and Center for Surface Engineering and Tribology, Northwestern University, Evanston, IL, USA

    Yip-Wah Chung

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© 2013 Springer Science+Business Media New York

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Colbourne, J.R. (2013). Non-involute Gear Profiles. In: Wang, Q.J., Chung, YW. (eds) Encyclopedia of Tribology. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-92897-5_556

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