The parameter modeIing method is uséd extensively in aIl design software, ánd it makes thé designing work moré effective and convénient 16.Show citation A Mathematical Model for Parametric Tooth Profile of Spur Gears Guodong Zhai, 1 Zhihao Liang, 1 and Zihao Fu 2 1 School of Mechanical Electronic Information Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China 2 School of Aeronautic Science and Engineering, Beihang University, Beijing 100083, China Show more Academic Editor: Giuseppe Vairo Received 06 Sep 2019 Revised 25 Dec 2019 Accepted 18 Jan 2020 Published 24 Feb 2020 Abstract Spur gears are widely used transmission components.In the traditional design process, the noninvolute part of the tooth profile curve is difficult to describe with mathematical equations.This article puts forward a new parametric modeling method, which can describe the modified involute part of spur gears and parameterize and optimize the transition part of the involute curve of the spur gear.
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