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TECHNICAL PAPERS

The Impact of Moments Near Discontinuities in Structural-Acoustic Systems

[+] Author and Article Information
W. Steve Shepard

Department of Mechanical Engineering, The University of Alabama, Box 870276, Tuscaloosa, AL 35487

J. Vib. Acoust 125(2), 137-144 (Apr 01, 2003) (8 pages) doi:10.1115/1.1553470 History: Received April 01, 2001; Revised October 01, 2002; Online April 01, 2003
Copyright © 2003 by ASME
Topics: Force , Fluids , Acoustics , Modeling
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References

Sanderson,  M. A., 1996, “Vibration Isolation: Moments and Rotations included,” J. Sound Vib., 198, pp. 171–191.
Petersson,  B. A. T., 1993, “Structural Acoustic Power Transmission by Point Moment and Force Excitation, Part I: Beam- and Frame-Like Structures,” J. Sound Vib., 160, pp. 43–66.
Petersson,  B. A. T., 1993, “Structural Acoustic Power Transmission by Point Moment and Force Excitation, Part II: Plate-Like Structures,” J. Sound Vib., 160, pp. 67–91.
Goyder,  H. G. D., and White,  R. G., 1980, “Vibrational Power Flow from Machines into Built-up Structures, Part III: Power Flow through Isolation Systems,” J. Sound Vib., 68, pp. 97–117.
Petersson,  B. A. T., 1994, “Efficiency of Annularly Distributed Moment and Force Excitation Regarding Structural Acoustic Power Transmission to Plate-Like Structures,” J. Sound Vib., 176, pp. 625–639.
Fulford,  R. A., and Petersson,  B. A. T., 1999, “The Role of Moments on the Vibration Transmission in Built-up Structures,” J. Sound Vib., 227, pp. 479–510.
Wu, X. F., 1984, “Variational Method for Prediction of Acoustic Radiation from Vibrating Bodies,” M. S. Thesis, Georgia Institute of Technology.
Wu,  X. F., and Pierce,  A. D., 1990, “Uniqueness of Solutions to Variationally Formulated Acoustic Radiation Problems,” ASME J. Vibr. Acoust., 112, pp. 263–267.
Shepard,  W. S., and Cunefare,  K. A., 1997, “Sensitivity of Structural Acoustic Response to Attachment Feature Scales,” J. Acoust. Soc. Am., 102, pp. 1612–1619.
Ginsberg,  J. H., Cunefare,  K. A., and Pham,  H., 1995, “Spectral Description of Inertial Effects in Fluid-Loaded Plates,” ASME J. Vibr. Acoust., 117, pp. 206–212.
Ginsberg,  J. H., and Chu,  P., 1992, “Asymmetric Vibration of a Heavily Fluid-Loaded Circular Plate Using Variational Principles,” J. Acoust. Soc. Am., 91, pp. 894–906.
Shepard, W. S., Jr., 1996, “The Impact of Attached Feature Scales and Spatial Distributions on the Response of Structural-Acoustic Systems,” Ph.D. Thesis, Georgia Institute of Technology.
Alper,  S., and Magrab,  E. B., 1970, “Radiation from the Forced Harmonic Vibrations of a Clamped Circular Plate in an Acoustic Fluid,” J. Acoust. Soc. Am., 48, pp. 681–691.

Figures

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Example vibration-isolation system
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Moments induced by lateral vibrations
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Structural-acoustic system containing distributed mass discontinuity
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Locally reacting distributed mass discontinuity of width ΔD located at ξ=ξo
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Harmonic excitations, (a) line-force at ξ=ξF, and (b) line-moment at ξ=ξM
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Moment eccentricity, g/a, required to produce a ±3 dB change in radiated power. Force and moment excitation. No discontinuities
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Moment eccentricity, g/a, required to produce a ±3 dB change in radiated power. Force and moment excitation. Distributed mass discontinuity, mrat=0.25, centered at ξo=−0.20, and distributed over ΔD=0.10
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Change in radiated acoustic power from pure force due to addition of moment with eccentricity of g/a=0.04 and mass with mrat=0.5 at ξo=−0.2 and ΔD=0.10
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Change in radiated acoustic power from pure force due to addition of moment with eccentricity of g/a=0.08 and mass with mrat=0.5 at ξo=−0.2 and ΔD=0.10
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Change in radiated acoustic power from pure force due to addition of moment with eccentricity of g/a=0.04 and mass with mrat=0.5 at ξo=−0.067 and ΔD=0.05
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Change in radiated acoustic power from pure force due to addition of moment with eccentricity of g/a=−0.04 (180° phase) and mass with mrat=0.5 at ξo=−0.2 and ΔD=0.10
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Change in radiated acoustic power from pure force due to addition of moment with eccentricity of g/a=0.04i (90° phase) and mass with mrat=0.5 at ξo=−0.2 and ΔD=0.10

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