Computing fluid-coupled resonance frequencies, mode shapes, and damping loss factors using the singular value decomposition

In many acoustic design problems, it would be useful to be able to compute fluid-coupled resonance frequencies, mode shapes, and their associated damping levels. Unfortunately, conventional eigenvalue solution procedures are either computationally inefficient, unreliable, or have limited applicability. Sophisticated methods for identifying modal parameters using the singular value decomposition have recently emerged in the area of experimental modal analysis, where the available data typically consists of velocity-to-force transfer functions for several drive point locations. In this paper, we show that these techniques can be applied to numerically generated frequency domain data and are even more effective because full matrices of transfer function data are available. This typically allows the modes to be completely separated from each other, such that the modal parameters can be identified using analytical formulas. Several benchmark example problems are solved numerically, including a rectangular cantilever plate, a baffled circular plate, and a baffled circular plate covered by an open-ended rigid-walled pipe.

Copyright 2004 Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America.

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Work Title Computing fluid-coupled resonance frequencies, mode shapes, and damping loss factors using the singular value decomposition
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Open Access
Creators
  1. John B. Fahnline
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. The Journal of the Acoustical Society of America
Publication Date March 24, 2004
Publisher Identifier (DOI)
  1. https://doi.org/10.1121/1.1652034
Deposited March 17, 2024

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    • Journal of the Acoustical Society of America
    • The Journal of the Acoustical Society of America
    Publication Date
    • 2004-04-01
    • 2004-03-24
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