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TECHNICAL PAPERS

Steady-State Responses in Systems of Nearly-Identical Torsional Vibration Absorbers

[+] Author and Article Information
A. S. Alsuwaiyan

Department of Mechanical Technology, Buraydah College of Technology, P.O. Box 1327, Onaizah 81888 Gaseem, Saudi Arabia

Steven W. Shaw

Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824

J. Vib. Acoust 125(1), 80-87 (Jan 06, 2003) (8 pages) doi:10.1115/1.1522420 History: Received August 01, 2001; Revised July 01, 2002; Online January 06, 2003
Copyright © 2003 by ASME
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References

Hodges,  C. H., 1982, “Confinement of Vibration by Structural Irregularity,” J. Sound Vib., 82, pp. 411–424.
Hodges,  C. H., and Woodhouse,  J., 1989, “Confinement of Vibration by One Dimensional Disorder. I. Theory of Ensemble Averaging, II A Numerical Experiment of Different Ensemble Averages,” J. Sound Vib., 130(2), pp. 237–268.
Pierre,  C., and Dowell,  E. H., 1987, “Localization of Vibrations by Structural Irregularity,” J. Sound Vib., 114, pp. 549–564.
Pierre,  C., Tang,  D. M., and Dowell,  E. H., 1987, “Localized Vibrations of Disordered Multispan Beams: Theory and Experiment,” AIAA J., 25, pp. 1249–1257.
Wei,  S. T., and Pierre,  C., 1988, “Localization Phenomena in Mistuned Assemblies With Cyclic Symmetry Part I: Free Vibrations,” ASME J. Vibr. Acoust., 110, pp. 429–438.
Wei,  S. T., and Pierre,  C., 1988, “Localization Phenomena in Mistuned Assemblies With Cyclic Symmetry, Part II: Forced Vibrations,” ASME J. Vibr. Acoust., 110, pp. 439–449.
Happawana,  G. S., Bajaj,  A. K., and Nwokah,  O. D., 1991, “A Singular Perturbation Perspective on Mode Localization,” J. Sound Vib., 147(2), pp. 361–365.
Vakakis,  A. F., and Centikaya,  T. K., 1993, “Mode Localization in a Class of Multi-Degree of Freedom Systems With Cyclic Symmetry,” SIAM (Soc. Ind. Appl. Math.) J. Appl. Math., 53, pp. 265–282.
King,  M. E., and Layne,  P. A., 1998, “Dynamics of Nonlinear Cyclic Systems With Structural Irregularity,” Nonlinear Dyn., 15, pp. 225–244.
Chao,  C. P., Lee,  C. T., and Shaw,  S. W., 1997, “Non-Unison Dynamics of Multiple Centrifugal Pendulum Vibration Absorbers,” J. Sound Vib., 204, pp. 769–794.
Alsuwaiyan,  A. S., and Shaw,  S. W., 1999, “Localization of Free Vibration Modes in Systems of Nearly-Identical Vibration Absorbers,” J. Sound Vib., 228, pp. 703–711.
Newland,  D. E., 1964, “Nonlinear Aspects of the Performance of Centrifugal Pendulum Vibration Absorbers,” ASME J. Ind., 86, pp. 257–263.
Denman,  H. H., 1992, “Tautochronic Bifilar Pendulum Torsion Absorbers for Reciprocating Engines,” J. Sound Vib., 159, pp. 251–277.
Alsuwaiyan,  A. S., and Shaw,  S. W., 2002, “Performance and Dynamic Stability of General-Path Centrifugal Pendulum Vibration Absorbers,” J. Sound Vib., 252, pp. 791–815.
Chao,  C. P., Lee,  C. T., and Shaw,  S. W., 1996, “Stability of the Unison Response for a Rotating System With Multiple Tautochronic Pendulum Vibration Absorbers,” ASME J. Appl. Mech., 64, pp. 149–156.
Lee, C. T., and Shaw, S. W., 1994, “A Comparative Study of Nonlinear Centrifugal Pendulum Vibration Absorbers,” Nonlinear and Stochastic Dynamics, ASME Volume AMD-Vol. 192/DE-Vol. 78, pp. 91–98.
Haddow, A. G., and Shaw, S. W., 2001, “An Experimental Study of Torsional Vibration Absorbers,” Proceedings of DETC’01, ASME Design Engineering Technical Conferences DETC2001/VIB-21574, To appear.

Figures

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Schematic diagram of a rotor fitted with multiple CPVAs
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Absorber amplitudes versus fluctuating torque level for example 1. See Table 1.
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Absorber amplitudes versus fluctuating torque level for example 2. See Table 2.
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Nondimensional rotor acceleration versus fluctuating torque level for example 1. From numerical simulations.
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Absorber amplitudes versus fluctuating torque level for example 3. (a) σn=0.016, (b) σn=0.033, (c) σn=0.050. See Table 3.
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Effect of damping level on localization
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Effect of mistuning differences on localization

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