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Method of spiral bevel gear tooth contact analysis performed in CAD environment

Bartłomiej Sobolewski (Rzeszow University of Technology, Rzeszow, Poland)
Adam Marciniec (Rzeszow University of Technology, Rzeszow, Poland)

Aircraft Engineering and Aerospace Technology

ISSN: 0002-2667

Article publication date: 14 October 2013



The purpose of this paper is to present the use of a CAD system for the analysis of meshing of spiral bevel gears.


The TCA computer programs are based on a purely mathematical model and require to get the numerical solution of a set of nonlinear equations. There are situations that the programs fail to obtain the proper solution. In such cases, geometrical gear models defined in CAD environment prove to be a good choice. This paper describes a tool for analyzing tooth contact and transmission errors of spiral bevel gear sets with tooth flanks represented as CAD free-form surfaces.


A new method has been proposed to keep those surfaces in continuous contact in the whole range of meshing of a mating tooth pair. During meshing, the points of contact as well as the corresponding angles of rotation of both the pinion and the ring gear are recorded. Thus, the tooth contact path as well as the motion transmission error graph is determined. Then, the contact pattern that is formed by a set of instantaneous contact ellipses is designated.

Practical implications

The TCA results are essential for the assessment of the gear set quality in the early stages of the process of its development.


All the results presented in graphical form are very illustrative and easy to interpret.



Financial support of Structural Funds in the Operational Programme – Innovative Economy (IE OP) financed from the European Regional Development Fund – Project No. POIG.0101.02-00-015/08 is gratefully acknowledged.


Sobolewski, B. and Marciniec, A. (2013), "Method of spiral bevel gear tooth contact analysis performed in CAD environment", Aircraft Engineering and Aerospace Technology, Vol. 85 No. 6, pp. 467-474.



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