Transient Stress Analysis on Medium Modules Spur Gear by Using Mode Super Position Technique
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.
[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.
[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.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:53083", author = "Ali Raad Hassan", title = "Transient Stress Analysis on Medium Modules Spur Gear by Using Mode Super Position Technique", 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.", volume = "3", number = "5", pages = "478-8", }