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TECHNICAL PAPERS

Material and Microslip Damping in a Rotor Taking Gravity and Anisotropic Bearings Into Account

[+] Author and Article Information
Håkan L. Wettergren

Department of Mechanical Engineering, Linköping University, SE-58183 Linköping, Swedene-mail: hakwe@ikp.liu.se

J. Vib. Acoust 123(1), 30-35 (Aug 01, 2000) (6 pages) doi:10.1115/1.1325410 History: Received October 01, 1999; Revised August 01, 2000
Copyright © 2001 by ASME
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References

Smith, D. M., 1933, “The Motion of a Rotor Carried by a Flexible Shaft in Flexible Bearings,” Proceedings of the Royal Society, series A, vol. 142, pp. 92-118.
Foote,  W. R., Poritsky,  H., and Slade,  J. J., 1943, “Critical Speeds of a Rotor with Unequal Shaft Flexibilities, Mounted in Bearings of Unequal Flexibilities,” ASME J. Appl. Mech., 65, pp. 77–84.
Yamamoto,  Z., and Ota,  H., 1964, “On the Unstable Vibrations of a Shaft Carrying an Unsymmetrical Rotor,” ASME J. Appl. Mech., 86, pp. 515–522.
Black and McTernan, 1968.
Messal,  E. E., and Bonthron,  R. J., 1972, “Subharmonic Rotor Instability Due to Elastic Asymmetry,” ASME Journ. of Eng. for Ind. 94, pp. 185–192.
Wettergren, H. L., 1994, “Dynamic Instability of Composite Rotors,” IFToMM Fourth International Conference on Rotor Dynamics (Chicago, Illinois, September 7–9), pp. 287–292.
Wettergren,  H. L., and Olsson,  K-O., 1996, “Dynamic Instability of a Rotating Asymmetric Shaft with Internal Viscous Damping, Supported in Anisotropic Bearings.” J. Sound Vib., 195, pp. 75–84.
Hull,  E. H., 1961, “Shaft Whirling as Influenced by Stiffness Asymmetry,” Int. J. Non-linear Mech., 83, pp. 219–226.
Genin,  J., and Maybee,  J. S., 1970, “External and Material Damped Three Dimensional Rotor System,” Int. J. Nonlinear Mech., 5, pp. 287–297.
Rajalingham,  C., Bhat,  R. B., and Xistris,  G. D., 1993, “Influence of External Damping on the Stability and Response of a Rotor with Anisotropic Bending Stiffness,” Tribol. Trans., 36, pp. 393–398.
Walton,  J. F., and Martin,  Michael R., 1993, “Internal Rotor Friction induced Instability in High-Speed Rotating Machinery,” ASME Vibration of Rotating Systems, 60, pp. 297–305.
Lazan, B. J., 1968, Damping of Materials and Members in Structural Mechanics, Pergamon Press Inc., Great Britain.
Wettergren,  H. L., 1997, “On The Behavior of Material Damping due to Multi-Frequency Excitation,” J. Sound Vib., 206, pp. 725–735.
Csaba, G., 1998, Modelling Microslip Friction Damping and its Influence on Turbine Blade Vibrations, Linköping University, PhD Thesis No. 519, Sweden.
Mindlin, R. D., Mason, W. P., Osmer, J. F., and Deresiewicz, H., 1952, “Effects of an Oscillating Tangential Force on the Contact Surfaces of Elastic Spheres,” 1st. US National Congress of Applied Mechanics (Chicago III, 1951), New York, ASME, pp. 203–208.
Wettergren,  H. L., 1998, “Optimal Design to Reduce Dynamic Instability of a Turbine Generator due to Microslip,” J. Sound Vib., 214, pp. 57–66.
Wettergren,  H. L., and Csaba,  G., 1999, “Dynamic Instability of a Turbine Generator due to Microslip,” ASME J. Vibr. Acoust., 121, pp. 162–168.
Csaba, G., 1995, “Friction Damping of Turbine Blade Vibrations Using a Microslip Model,” Proceedings of the International Conference on Vibration and Noise, 25 to 27 April, pp. 775–785.
Iwan,  W. D., 1967, “On a Class of Models for the Yielding Behavior of Continuous and Composite Systems,” ASME J. Appl. Mech., 34, September, pp. 612–617.

Figures

Grahic Jump Location
Simple rotor with symmetric shaft and anisotropic bearings
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Simple rotor with wedges
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Model of rotor and wedge
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Forces acting on the left part of the wedge and the rotor
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Bending moment on the shaft due to a wedge
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Simplified vibratory system of a continuous rotor with a mass mounted symmetrically between two equal anisotropic bearings
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Deflection of the rotor
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Energy transferred to the rotor per revolution due to the wedge microslip

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