Comment on plate modal wavenumber transforms in Sound and Structural Vibration [Academic Press (1987, 2007)] (L)

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Abstract

The wavenumber transform for rectangular, simply supported, isotropic thin plates has been rederived to correct a technical error found in the text Sound and Structural Vibration (Academic Press, 1985/2007) by Fahy/Fahy and Gardonio. The text states that the modal wavenumber corresponds to the peak of the wavenumber spectrum. While this is approximately true for higher-order modes, it does not hold for lower-order modes due to coupling between positive and negative wavenumber energy. The modal wavenumber is shown to be related to the zeros in the wavenumber spectrum by an integer multiple of 2 π normalized by the plate length.

Original languageEnglish (US)
Pages (from-to)2155-2157
Number of pages3
JournalJournal of the Acoustical Society of America
Volume132
Issue number4
DOIs
StatePublished - Oct 1 2012

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structural vibration
vibration
acoustics
thin plates
integers
Sound
energy
Energy
Length

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

Cite this

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