Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ ZENODOarrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
ZENODO
Article . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Article . 2025
License: CC BY
Data sources: Datacite
ZENODO
Article . 2025
License: CC BY
Data sources: Datacite
versions View all 2 versions
addClaim

A MATHEMATICAL METHOD FOR EVALUATING THE GEOMETRIC CONFORMITY OF TOOTH SURFACES IN BEVEL AND HYPOID GEAR TRANSMISSIONS

Authors: Abdurakhmanov, Azamat; Ishmuratov, Hikmat; Hamroev, Ramzjon;

A MATHEMATICAL METHOD FOR EVALUATING THE GEOMETRIC CONFORMITY OF TOOTH SURFACES IN BEVEL AND HYPOID GEAR TRANSMISSIONS

Abstract

This paper proposes a method for evaluating the geometric conformity of tooth surfaces in bevel and hypoid gear transmissions. The study determines the mutual geometric deviations between theoretical and actual (conjugate) tooth surfaces based on their spatial mathematical models. The deviations between the tooth surfaces are calculated in the normal direction for discretely selected grid points along the axial section, and the obtained values are approximated using a second-order surface. The conformity coefficients are determined using the least squares method, enabling a quantitative characterization of the spatial mismatch of the tooth surfaces.

Keywords

bevel gear; hypoid gear; tooth surface; geometric conformity; spatial deviation; discretization; least squares method.

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green