Transient Stress Analysis on Medium Modules Spur Gear by Using Mode Super Position Technique

Authors: Ali Raad Hassan

Abstract:

Natural frequencies and dynamic response of a spur gear sector are investigated using a two dimensional finite element model that offers significant advantages for dynamic gear analyses. The gear teeth are analyzed for different operating speeds. A primary feature of this modeling is determination of mesh forces using a detailed contact analysis for each time step as the gears roll through the mesh. ANSYS software has been used on the proposed model to find the natural frequencies by Block Lanczos technique and displacements and dynamic stresses by transient mode super position method. The effect of rotational speed of the gear on the dynamic response of gear tooth has been studied and design limits have been discussed.

Keywords: Spur gear, Natural frequency, transient analysis, Mode super position technique.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1331295

References:

[1] Ali Raad Hassan, Thanigaiyarasu G. and Ramamurti V. (2008). ÔÇÿEffects of Natural Frequency and Rotational Speed on Dynamic Stress in Spur Gear-, Proceeding of World Academy of Science, Engineering and Technology, Volume 36, pp. 1279-1287.
[2] ANSI/AGMA (2001-B88) (1988). ÔÇÿFundamental Rating Factors and Calculation Methods for Involute Spur and Helical Gear Teeth-, American Gear Manufacturers Association, Arlington, VA.
[3] Eiff von H., Hirschmann K.H., Lechner G. (1990). ÔÇÿInfluence of gear tooth geometry on tooth stress of external and internal gears-, ASME Journal of Mechanical Design 112 (4) 575-583.
[4] Hefeng B., Savage M., Knott R.J. (1985). ÔÇÿComputer modeling of rack generated spur gears-. Mechanism and Machine Theory 20 (4) 351-360.
[5] Khurmi R.S., Gupta J.K. (2006). ÔÇÿA Textbook of Machine Design-, Eurasia Publishing House (PVT.) LTD., New Delhi, pp 1035-1038.
[6] Mohammad D., Khan N U, Ramamurti V. (1995). ÔÇÿOn the role of Rayleigh damping-. Journal of Sound and Vibration 185 (2) 207.
[7] Oda S., Nagamura K., Aoki K. (1981). ÔÇÿStress analysis by thin rim spur gears by finite element method-. Bulletin of the Japanese Society of Mechanical Engineers 24 (193) 1273-1280.
[8] Rao Singiresu S. (2004). ÔÇÿMechanical Vibrations- 4th Edition, Pearson Education (Singapore) Pte. Ltd., India Branch, Delhi.
[9] Ramamurti V., Reddy K. R. K. (2001). ÔÇÿDynamic analysis of spur gear tooth-. The Institution of Engineering (India) Journal 82 33-40.
[10] Ramamurti V., Gupta L. S. (1979). ÔÇÿDynamic stress analysis on spur gear teeth-. ASME Conference 38, DET.
[11] Ramamurti V., Vijayendra Nayak H., Sujatha C. (1998). ÔÇÿStatic and dynamic analysis of spur and bevel gears using FEM-, Mechanism and Machine Theory 33 (8) 1177-1193.
[12] Ramamurti V. (2002). ÔÇÿMechanical Vibration Practice with Basic Theory-, Narosa Publishing House, New Delhi.
[13] Ramamurti V. (1998). ÔÇÿComputer Aided Design in Mechanical Engineering-, McGraw Hill Publishing Co., New York.
[14] Seshu P. (2004). ÔÇÿText Book of Finite Element Analysis-, Prentice-Hall of India, New Delhi.
[15] Shigley J.E. and Charles R.M. (2003). ÔÇÿMechanical Engineering Design-, Tata McGaraw-Hill, New Delhi, 6th edition.
[16] Wilcox L., Coleman W. (1973). ÔÇÿApplication of finite elements to the analysis of gear tooth stresses-. Journal of Engineering for Industry 95 (4) 1139-1148.