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Machine Theory
Mechanism and Machine Theory 43 (2008) 1253–1267
ate/mechmt
Influence of tooth errors and misalignments on tooth contact
in spiral bevel gears
Vilmos Simon *
Budapest University of Technology and Economics, Faculty of Mechanical Engineering, Institute of Machine Design,
Department of Machine Elements, H-1111 Budapest, Muegyetem rkp. 3, Hungary
Received 4 July 2007; received in revised form 25 September 2007; accepted 28 October 2007
Available online 21 February 2008
Abstract
The method puter aided tooth contact analysis in mismatched spiral bevel gears is applied for the investigation
of the influence of misalignments of the mating members and tooth errors on mesh performances. By using the correspond-
puter program the influence of pinion’s offset and pinion’s adjustment error along the pinion and gear axis, angular
position error of the pinion axis and tooth spacing error on the shape and position of path of contact and potential contact
lines under load, on separations along the potential contact lines, on angular displacements of the driven gear member
from the theoretically exact position based on the ratio of the numbers of teeth, and on the variation of the angular velocity
ratio through a mesh cycle have been determined. The results obtained show that the position errors of the mating mem-
bers worsen the conjugation of the contacting tooth surfaces, and considerably increase the angular displacements of
the gear member and the velocity ratio variation through the whole mesh cycle, that considerably worsens the mesh
performances.
Ó 2007 Elsevier Ltd. All rights reserved.
Keywords: Spiral bevel gears; Misalignments; Tooth errors; Mesh performances
1. Introduction
During the last decades many research works have been directed towards the synthesis, tooth contact anal-
ysis and manufacture of spiral bevel gears. Handschuh [1] gives a very good review of recent progress for the
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