Modification of Skudrzyk's mean-value theory parameters to predict fluid-loaded plate vibration

Rendell R. Torres, Victor W. Sparrow, Alan D. Stuart

Research output: Contribution to journalArticlepeer-review


The geometric-mean drive-point admittance (or 'mobility') of a complex structure is given by the admittance of the corresponding infinite structure (i.e., the 'characteristic admittance,' Y(c)). The frequency response of an infinite plate, for example, coincides with the geometric-mean response of a finite one. Eugen Skudrzyk's 'mean-value theorem' was derived and experimentally verified without consideration of fluid loading. This paper shows that Skudrzyk's method can be applied to fluid-loaded plates well below the coincidence frequency. Skudrzyk's general mathematical expression allows simplified modifications that account for fluid loading and result in an approximate fluid-loaded characteristic admittance that differs only by a small multiplicative factor (< 2 dB) from a correct analytical expression derived by Crighton.

Original languageEnglish (US)
Pages (from-to)342-347
Number of pages6
JournalJournal of the Acoustical Society of America
Issue number1
StatePublished - Jul 1997

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics


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