Design Method for N-Lobed Noncircular Bevel Gears

As a type of spatial transmission mechanism, noncircular bevel gears (NBGs) can transfer power and motion between two intersecting axes with variable transmission following a suitable program of motion. Utilizing the spherical triangle theorem and meshing principle, parametric equations are establis...

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Bibliographic Details
Published inAdvances in mechanical engineering Vol. 12; no. 2; p. 168781401989749
Main Authors Shi, Kan, Yao, Yan-An, Lin, Shuai
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.02.2020
Sage Publications Ltd
SAGE Publishing
Subjects
Bevel gears
Coordinates
Mathematical analysis
Meshing
Parametric equations
Polar coordinates
Spherical coordinates
Three dimensional analysis
Three dimensional models
Triangles
addendum and dedendum curves
intersection axis
tooth profile
variable transmission
pitch curve
noncircular bevel gears
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Summary:As a type of spatial transmission mechanism, noncircular bevel gears (NBGs) can transfer power and motion between two intersecting axes with variable transmission following a suitable program of motion. Utilizing the spherical triangle theorem and meshing principle, parametric equations are established in the spherical polar coordinate system for the driving and driven gears, for the pitch curves, and for the addendum and dedendum curves of a NBG for a given transmission ratio and axis angle. A formulation of the tooth profile of a NBG is deduced using an analytic method. Three-dimensional models of the 3- and 4-lobed NBGs are derived in verifying this method.
ISSN:1687-8132
1687-8140
1687-8140
DOI:10.1177/1687814019897498