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TECHNICAL PAPERS

Modal Overlap and Dissipation Effects of a Cantilever Beam with Multiple Attached Oscillators

[+] Author and Article Information
M. V. Drexel, J. H. Ginsberg

School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332

J. Vib. Acoust 123(2), 181-187 (Aug 01, 2000) (7 pages) doi:10.1115/1.1340624 History: Received June 01, 1999; Revised August 01, 2000
Copyright © 2001 by ASME
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References

Soize,  C., 1993, “A Model and Numerical Method in the Medium Frequency Range for Vibroacoustic Predictions Using the Theory of Structural Fuzzy,” J. Acoust. Soc. Am., 94, pp. 849–865.
Soize,  C., 1998, “Estimation of the Fuzzy Substructure Model Parameters Using the Mean Power Flow Equation of the Fuzzy Structure,” ASME J. Vibr. Acoust., 120, pp. 279–286.
Pierce, A. D., Sparrow, V. W., and Russel, D. A., 1993, “Fundamental Structural Acoustic Idealizations for Structures with Fuzzy Internals,” 114th ASME Winter Meeting, November (paper WA/NCA-17).
Strasberg,  M., and Feit,  D., 1996, “Vibration Damping of Large Structures Induced by Attached Small Resonant Structures,” J. Acoust. Soc. Am., 99, No. 1, pp. 335–344.
Strasberg,  M., 1996, “Continuous Structures as Fuzzy Substructures,” J. Acoust. Soc. Am., 100, No. 5, pp. 3456–3459.
Weaver,  R. L., 1996, “The Effect of an Undamped Finite Degree of Freedom ‘Fuzzy’ Substructure: Numerical Solutions and Theoretical Discussion,” J. Acoust. Soc. Am., 100, pp. 3159–3164.
Strasberg,  M., 1997, “Is the Dissipation Induced by Fuzzy Substructures Real or Apparent?” J. Acoust. Soc. Am., 102, 3130.
Ginsberg, J. H., 2001, Mechanical and Structural Vibration, John Wiley & Sons, NY.

Figures

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Strasberg’s discrete system model
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Unit impulse response, light damping, σ=0.0005 and ζ=0.0025, (a) discrete model, (b) beam model
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Unit impulse response, heavy damping, σ=0.0005 and ζ=0.0625, (a) discrete model, (b) beam model
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Continuous system model
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Frequency response to a unit harmonic force, (a) discrete model, (b) beam models
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Compartmentalization of the mechanical energy, light damping, σ=0.0005 and ζ=0.0025, (a) discrete model, (b) beam model
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Complex eigenvalues, light damping, σ=0.0005 and ζ=0.0025, (a) real parts, (b) imaginary parts
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Compartmentalization of the mechanical energy, heavy damping, σ=0.0005 and ζ=0.0625, (a) discrete model, (b) beam model

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