Title: Computerised cutting simulation of involute helical gears generated with rack cutters

Authors: M. Cuneyt Fetvaci, C. Erdem Imrak

Addresses: Department of Mechanical Engineering, Istanbul University, Avcilar 34320, Istanbul, Turkey. ' Department of Mechanical Engineering, Technical University of Istanbul, Inonu Caddesi No. 87, Gumussuyu 34437, Istanbul, Turkey

Abstract: This paper studies the equations of rack cutters for generating helical gears with involute teeth. By applying the equations of designed profile of rack cutter, the principle of coordinate transformation, the theory of differential geometry and the theory of gearing, the mathematical models of involute helical gear are given. Furthermore, a computer simulation program is developed to generate the tooth profile of involute gears and to illustrate the effect of tool geometry on generated surfaces. Also, the simulation of the generating process is illustrated.

Keywords: helical gear design; involute helical gears; simulation; rack cutters; involute teeth; mathematical modelling.

DOI: 10.1504/IJDE.2008.024792

International Journal of Design Engineering, 2008 Vol.1 No.4, pp.445 - 452

Published online: 30 Apr 2009 *

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