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TECHNICAL BRIEFS

On a Persistent Misunderstanding of the Role of Hysteretic Damping in Rotordynamics

[+] Author and Article Information
Giancarlo Genta

Politecnico di Torino, Department of Mechanics, Corso Duca degli Abruzzi 24, 10039 Torino Italy e-mail: giancarlo.genta@polito.it

J. Vib. Acoust 126(3), 459-461 (Jul 30, 2004) (3 pages) doi:10.1115/1.1759694 History: Received June 01, 2003; Revised January 01, 2004; Online July 30, 2004
Copyright © 2004 by ASME
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References

Den Hartog, J. P., 1934, Mechanical Vibrations, McGraw-Hill, New York.
Dimentberg, M., 1961, Flexural Vibrations of Rotating Shafts, Butterworth, London, England.
Genta G., 1998, Vibration of Structures and Machines, III ed., Springer, New York.
Muszynska,  A., 1986, “Whirl and Whip-Rotor/Bearing Stability Problems,” ASME J. Vibr. Acoust., 110(3), pp. 443–462.
Crandall, S. H., 1995, “Rotordynamics,” Nonlinear Dynamics and Stochastic Mechanics, Kliemann W. and Sri Namachchivaya N., eds., Boca Raton: CRC Press.
Melanson,  J., and Zu,  J. W., 1998, “Free Vibration and Stability Analysis of Internally Damped Rotating Shafts With General Boundary Conditions,” ASME J. Vibr. Acoust., 120, pp. 776–783.
Lund,  J. W., 1974, “Stability and Damped Critical Speeds of a Flexible Rotor in Fluid Film Bearings,” ASME J. Ind., 96, pp. 509–517.
Crandall, S. H., 1986, Private Communication (March 31) in the form of a letter to J. W. Lund, with copy to the Author.
Zorzi,  E. S., and Nelson,  H. D., 1977, “Finite Element Simulation of Rotor-Bearing Systems with Internal Damping,” ASME J. Eng. Power, 99, pp. 71–76.
Crandall,  S. H., 1970, “The Role of Damping in Vibration Theory,” J. Sound Vib., 11(1), pp. 3–18.
Jeffcott,  H. H., 1919, “The Lateral Vibration of Loaded Shafts in the Neighborhood of a Whirling Speed—The Effect of Want of Balance,” Philos. Mag., 37(6), pp. 304–314.
Ramanujam,  G., and Bert,  C. W., 1983, “Whirling and Stability of Flywheel Systems, Part 1: Derivation of Combined and Lumped Parameter Models; Part II: Comparison of Numerical Results Obtained with Combined and Lumped Parameter Models,” J. Sound Vib., 88(3), pp. 369–420.
Genta,  G., Bassani,  D., and Delprete,  C., 1966, “DYNROT: A Finite Element Code for Rotordynamic Analysis Based on Complex Co-ordinates,” Eng. Comput., 13(6), pp. 86–99.
Genta,  G., 1985, “Consistent Matrices in Rotor Dynamics,” Meccanica, 20, pp. 235–248.
Genta, G., “On the Stability of Rotating Bladed Arrays,” J. Sound Vib., in press.

Figures

Grahic Jump Location
Nondimensional Campbell diagram and decay rate plot for a Jeffcott rotor with hysteretic damping with η=0.05. The nondimensional speeds and decay rate are: Ω*=Ω/k/m,ω*=ω/k/m and σ*=σ/k/m. Both the solutions from Eqs. (8) and (9) are reported, but the difference is noticeable only in the zone close to the critical speed, magnified in the circles.
Grahic Jump Location
Campbell and the decay rate plots for the hinged-hinged beam studied in 6, Fig. 3.
Grahic Jump Location
Roots locus for the first forward mode for the simply supported beam studied in 6. The FEM results obtained through the DYNROT code are plotted together with the results obtained in 6.

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