Modification of Skudrzyk’s mean-value theory parameters to predict fluid-loaded plate vibration
作者:
Rendell R. Torres,
Victor W. Sparrow,
Alan D. Stuart,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1997)
卷期:
Volume 102,
issue 1
页码: 342-347
ISSN:0001-4966
年代: 1997
DOI:10.1121/1.419757
出版商: Acoustical Society of America
数据来源: AIP
摘要:
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,”Yc). 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.
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