Analysis of the nonlinear structural-acoustic resonant frequencies of a rectangular tube with a flexible end using harmonic balance and homotopy perturbation methods
type: Item
instance of: scholarly article
title: Analysis of the nonlinear structural-acoustic resonant frequencies of a rectangular tube with a flexible end using harmonic balance and homotopy perturbation methods
zbMATH Open document ID: 1257.35176
DOI: 10.1155/2012/391584
author: Yanyan Li
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 6134076
Wikidata QID: Q58696498
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/391584
OpenAlex ID: W2144031920
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description: scientific article; zbMATH DE number 6134076