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Euler-Savari determination of radii of curvature of cycloid profiles

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Abstract

The radius of curvature of a cycloid tooth profile is determined on the basis of the Euler-Savari theorem, without using profile equations. The formulas obtained may be used to determine radii of curvature of other cycloid couplings in which one of the contact profiles is a circle. A sample calculation is presented.

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Authors and Affiliations

  1. Tomsk Polytechnic University, Tomsk, Russia

    E. A. Efremenkov & An I-Kan

Authors
  1. E. A. Efremenkov
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  2. An I-Kan
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Corresponding author

Correspondence to E. A. Efremenkov.

Additional information

Original Russian Text © E.A. Efremenkov, An I-Kan, 2010, published in Vestnik Mashinostroeniya, 2010, No. 10, pp. 47–50.

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Efremenkov, E.A., I-Kan, A. Euler-Savari determination of radii of curvature of cycloid profiles. Russ. Engin. Res. 30, 1001–1004 (2010). https://doi.org/10.3103/S1068798X10100072

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  • DOI: https://doi.org/10.3103/S1068798X10100072

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