Contact Stress Analysis of Spur Gear Teeth Pair

Contact stress analysis between two spur gear teeth was considered in different contact positions, representing a pair of mating gears during rotation. A programme has been developed to plot a pair of teeth in contact. This programme was run for each 3° of pinion rotation from the first location of contact to the last location of contact to produce 10 cases. Each case was represented a sequence position of contact between these two teeth. The programme gives graphic results for the profiles of these teeth in each position and location of contact during rotation. Finite element models were made for these cases and stress analysis was done. The results were presented and finite element analysis results were compared with theoretical calculations, wherever available.

Authors:

• Ali Raad Hassan

Keywords:

• Contact stress
• Spur gear
• Contact ratio
• Finite elements

References:

[1] Ali Raad Hassan, ÔÇÿTransient Stress Analysis in Medium Modules
Spur Gear Tooth by Using of Mode Super Position Technique-, International Conference of Mechanical Engineering, Tokyo, Japan, 27- 29 May 2009, World Academy of Science, Engineering and Technology,
Volume 53, 2009, pp. 49-56 (www.waset.org/journals/waset/v53.php).
[2] ANSYS (2004), Release 9.0, SAS IP, ANSYS Inc. U.S.A.,(www.ansys.com).
[3] Boresi A.P. and Schmidt R.J. (2003), ÔÇÿAdvanced Mechanics of
Materials-, Sixth edition, John Wiley & Sons (ASIA) Pte. Ltd.,
Singapore, pp. 589-624.
[4] Colbourne J.R. (1987), ÔÇÿThe Geometry of Involute Gears-, Springer-
Verlag, New York.
[5] Harris T.A. (1966), ÔÇÿRolling Bearing Analysis, London-, New York,
Sidney, Wiley.
[6] Johnson K.L. (1985), ÔÇÿContact Mechanics-, Press Syndicate of the
University of Cambridge, London, New York, Melbourne.
[7] Lynwander Peter (1983), ÔÇÿGear Drive Systems-, American Lohmann
Corporation, Hillside, New Jersey.
[8] Maitra G.M. (1996), ÔÇÿHand Book of Gear Design-, Tata McGraw-Hill
Publishing Company Limited, New Delhi, 2nd edition.
[9] Refaat M. H. and Meguid S. A. (1995), on the contact stress analysis of
spur gears using variational inequalities, Computers and structures, Vol.
57, No.5, pp. 871-882.
[10] Roark R.J. (1965), ÔÇÿFormula for Stress and Strain-, 4th edition, McGraw-
Hill, New York, St Louis, San Francisco, Toronto, London, Sidney.
[11] Shigley J.E. and Charles R.M. (2003), ÔÇÿMechanical Engineering
Design-, Tata McGaraw-Hill, New Delhi, 6th edition.
[12] Zahavi Eliahu (1991), ÔÇÿThe Finite Element Method in Machine Design-,
Prentice-Hall.