I'm thinking of conformal mapping, but I can't find any publications about conformal mapping involved in helical gear.
This paper could be an answer.
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Applied Mathematics and Mechanics
November 1988, Volume 9, Issue 11, pp 1101-1108
Calculation of conformal mapping function of the tooth profile on evolvent gear by computer
Cheng Nai-shi, Liu Wen
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RESEARCH PAPERS: Power Transmission and Gearing Papers
Computer Implementation of an Optimal Conformal Mapping for Gear Tooth Stress Analysis
M. J. Richard, D. Pare and A. Cardou
[-] Author and Article Information
M. J. Richard, A. CardouDept. of Mechanical Engr., Laval University, Quebec, Canada G1K 7P4
D. PareGeneral Electric of Canada, 795 First Ave., Lachine, Quebec, Canada H8S 2S8
J. Mech. Des. 111(2), 297-305 (Jun 01, 1989) (9 pages) doi:10.1115/1.3258998
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A thesis also downloadable...
Yours sincerely.
FEA
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