Commenced in January 2007
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Pressure Angle and Profile Shift Factor Effects on the Natural Frequency of Spur Tooth Design

Authors: Ali Raad Hassan


In this paper, an (irregular) case relating to base circle, root circle, and pressure angle has been discussed and a computer programme has been developed to simulate and plot spur gear tooth profile, including involute and trochoid curves based on the formulation of rack cutter using different values of pressure angle and profile shift factor and it gave the values of all important geometric parameters. The results showed the flexibility of this approach and versatility of the programme to draw many different cases of spur gear teeth of any module, pressure angle, profile shift factor, number of teeth and rack cutter tip radius. The procedure developed can be extended to produce finite element models of heretofore intractable geometrical forms, to exploring fabrication of nonstandard tooth forms also. Finite elements model of these irregular cases have been built using above programme, and modal analysis has been done using ANSYS software, and natural frequencies of these selected cases have been obtained and discussed.

Keywords: natural frequency, involute, trochoid, pressure angle, profile shift factor

Digital Object Identifier (DOI):

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[1] Shigley Joseph E. and Mischke Charles R., “Mechanical Engineering Design”, Tata McGaraw-Hill, New Delhi, 6th edition, 2003.
[2] Chawathe D. D., “Hand Book of Gear Technology”, New age International Publishers, New Delhi, 2001.
[3] Singh V. P., “Theory of Machines”, Dhanpat Rai and Co. (PVT.) Ltd, New Delhi 1st edition, 1999.
[4] Kapelevich Alexander L. and Kleiss Rodrick E., “Direct gear design for spur and helical involute gears”, Gear Technology, sep./Oct. 2002, pp. 29-35.
[5] Yang Shyue-Cheng, “Study on an internal gear with asymmetric involute teeth”, Mechanism and Machine Theory (in press), accepted 28 July 2006.
[6] Maitra Gitin M., “Hand Book of Gear Design”, Tata McGaraw-Hill publishing company limited, New Delhi, 2nd edition, 1996.
[7] Hefeng Bai, Savage Mechael and Knorr Raymond Tames, “Computer modeling of rack-generated spur gears”, Mechanism and Machine Theory 20 (6) (1985) (351-360).
[8] Buckingham Earle, “Analytical Mechanics of Gears”, Dover, New York, 1963.
[9] Tsay Chung-Biau, Liu Wen-Yao and Chen Yi-Cheng, “Spur gear generation by shaper cutters”, Materials Processing Technology 104 (2000) 271-279.
[10] Chang H. L. and Tsai Y. C., “Feasible design spaces of the pressure angle for spur gears”, Mechanisms and Machine Theory 28 (2) (1993) (181-192).
[11] Colbourne J. R., “The Geometry of Involute Gears”, Springer-Verlag, New York, 1987.
[12] Lynwander Peter, “Gear Drive Systems Design and Applications”, New York, 1983.