Stress analysis of gear teeth using displacement potential function and finite differences

A new numerical approach has been developed for the analysis of displacements and stresses in arbitrary‐shaped elastic bodies subjected to mixed boundary conditions. An ideal mathematical model, based on the displacement‐potential function, has been used in the finite‐difference solution to investig...

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Published inInternational journal for numerical methods in engineering Vol. 53; no. 7; pp. 1629 - 1640
Main Authors Akanda, M. A. Salam, Ahmed, S. Reaz, Uddin, M. Wahhaj
Format Journal Article
LanguageEnglish
Published Chichester, UK John Wiley & Sons, Ltd 10.03.2002
Subjects
displacement potential function
elasticity
finite-difference technique
gear teeth
stress analysis
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Summary:A new numerical approach has been developed for the analysis of displacements and stresses in arbitrary‐shaped elastic bodies subjected to mixed boundary conditions. An ideal mathematical model, based on the displacement‐potential function, has been used in the finite‐difference solution to investigate the state of stresses at the critical sections of spur gear teeth. Two different types of gear tooth and two different regions of loading are included in the present analysis. The solutions found by the present approach are compared and discussed in the light of available finite‐element results in the literature. Copyright © 2001 John Wiley & Sons, Ltd.
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ISSN:0029-5981
1097-0207
DOI:10.1002/nme.355