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2012 Analysis of the Nonlinear Structural-Acoustic Resonant Frequencies of a Rectangular Tube with a Flexible End Using Harmonic Balance and Homotopy Perturbation Methods
Y. Y. Lee
Abstr. Appl. Anal. 2012(SI03): 1-13 (2012). DOI: 10.1155/2012/391584

Abstract

The structural acoustic problem considered in this study is the nonlinear resonant frequencies of a rectangular tube with one open end, one flexible end, and four rigid side walls A multiacoustic single structural modal formulation is derived from two coupled partial differential equations which represent the large amplitude structural vibration of the flexible end and acoustic pressure induced within the tube. The results obtained from the harmonic balance and homotopy perturbation approaches verified each other. The effects of vibration amplitude, aspect ratio, the numbers of acoustic modes and harmonic terms, and so forth, on the first two resonant natural frequencies, are examined.

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Y. Y. Lee. "Analysis of the Nonlinear Structural-Acoustic Resonant Frequencies of a Rectangular Tube with a Flexible End Using Harmonic Balance and Homotopy Perturbation Methods." Abstr. Appl. Anal. 2012 (SI03) 1 - 13, 2012. https://doi.org/10.1155/2012/391584

Information

Published: 2012
First available in Project Euclid: 5 April 2013

zbMATH: 1257.35176
Digital Object Identifier: 10.1155/2012/391584

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI03 • 2012
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