Table of Contents Author Guidelines Submit a Manuscript
The Scientific World Journal
Volume 2014, Article ID 641091, 6 pages
Research Article

Two Mathematical Models for Generation of Crowned Tooth Surface

University of Miskolc, Egyetemvaros, Miskolc 3515, Hungary

Received 29 August 2013; Accepted 30 October 2013; Published 21 January 2014

Academic Editors: K. I. Ramachandran and S. Zhang

Copyright © 2014 Laszlo Kelemen and Jozsef Szente. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Gear couplings are mechanical components to connect shaft ends and eliminate the misalignments. The most important element of the gear coupling is the hub which is an external gear having crowned teeth. The crowned teeth on the hub are typically produced by hobbing. The resulting tooth surface depends on several parameters. It is influenced by the size of the hob and the feed. In this paper two mathematical models of the crowned tooth surface are introduced for the generation of the idealized tooth surfaces. These are the profile-shifting and the two-parameter enveloping methods. Our aim is to compare the obtained crowned tooth profiles for the two examined models and to investigate the results. From our numerical results, it was found that the two profiles show indistinguishable differences.