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Multi–Branch Torsional Vibration in Geared Rotating Systems
ISSN: 0148-7191, e-ISSN: 2688-3627
Published November 15, 1999 by SAE International in United States
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Torsional vibration usually causes noticeable sound disturbances, mechanical shakings, and component fatigue problems. It exists at one or more periods of the operating range in torsional systems. Determination of critical speeds or torsional natural frequencies in a design stage makes it possible to avoid early fractures and costly repairs of the machinery. In this paper, the method for predicting speed–related excitation frequencies of complex rotating systems is discussed and the computer program is developed and tested by actual examples. The natural frequencies and mode shapes of multi–branch torsional vibration systems with one or more junction points are calculated. A user–friendly graphic interface for modeling is presented. Some practical examples are given and the results of the simulations are compared to those obtained analytically as well as those given in references.
CitationYao, D., Yuan, Q., and Wang, W., "Multi–Branch Torsional Vibration in Geared Rotating Systems," SAE Technical Paper 1999-01-3746, 1999, https://doi.org/10.4271/1999-01-3746.
- Wilson, W. K. Practical Solution of Torsional Vibration Problems Third Chapman & Hall 1956
- Pestel, E. C. Leckie, F. A. Matrix Methods in Elasto–Mechanisms McGraw–Hill Book Company Inc. 1963
- Shaikh, N. “A Direct Method for Analysis of Branched Torsional Systems” Journal of Engineering for Industry 96 1974 1006 1009
- Dawson, B. Sidwell, J. M. “The Vibrational Properties of Branched Torsional System Having One or More Branch Points” Transactions Institute of Marine Engineers 86 1974 239 249
- Mahalingam S. “Vibration of Branched System----A Displacement Excitation Approach” Journal of Sound and Vibration 46 2 1976 233 244
- Mahalingam S. “Vibration of Branched Torsional Systems With Multiple Junctions” Journal of Sound and Vibration 49 2 1976 195 214
- Mahalingam S. “On the Vibratory Response of Close–Coupled Systems” Journal of Sound and Vibration 63 2 1979 189 200
- Thomson, W. T. Vibration Theory and Application Prentice Hall Englewood Cliffs, N. J. 1956
- Den Hartog, J. P. Mechanical Vibration McGraw–Hill New York 1956
- Gilbert, A. C. “A note on the Calculation of Torsional Natural Frequencies of Branch System” Journal of Engineering for industry 94 1 Feb. 1972 279 283
- Lee, H. C. Stevenson, C. H. “Torsional Vibration of a Geared System” The Vibration Conference Boston, Mass. March 29–31 1967
- Hundal, M. S. “An Extension of Holzer Method for Redundant Drive Trains” Journal of Engineering for Industry 96 2 May 1974 697 698 98
- Timoshenko, S. P. Vibration Problems in Engineering John Wiley & Sons, Inc. 1974
- Holzer, H. Springer Berline 1912
- Vierck, R. K. Vibration Analysis Happer & Row, Publishers, Inc. New York 456 1979
- Fengrong Zhang The Torsional Vibration Analysis of a Steel Rolling Machine Transmission System 1998
- Steidel, Robert F. Jr. An Introduction to Mechanical Vibrations Third John Wiley & Sons 1989