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Stress analysis of gear teeth using displacement potential function and finite differences
Author(s) -
Akanda M. A. Salam,
Ahmed S. Reaz,
Uddin M. Wahhaj
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.355
Subject(s) - finite element method , displacement (psychology) , spur gear , stress (linguistics) , structural engineering , gear tooth , boundary value problem , function (biology) , mathematics , engineering , mathematical analysis , psychology , linguistics , philosophy , evolutionary biology , psychotherapist , biology
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.