Euler-Savari determination of radii of curvature of cycloid profiles

E. A. Efremenkov, An I-Kan

Division for General Technical Subjects

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1001-1004
Number of pages	4
Journal	Russian Engineering Research
Volume	30
Issue number	10
DOIs	https://doi.org/10.3103/S1068798X10100072
Publication status	Published - 20 Dec 2010

ASJC Scopus subject areas

Industrial and Manufacturing Engineering
Mechanical Engineering

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10.3103/S1068798X10100072

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title = "Euler-Savari determination of radii of curvature of cycloid profiles",

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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AB - 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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Euler-Savari determination of radii of curvature of cycloid profiles

Abstract

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