Sound reduction of a panel-cavity system with a chaotically vibrating boundary

Here, I was the first to investigate the sound reduction of a chaotically vibrating curved panel with/without a cavity. A sound reduction formula was obtained by combining the homogeneous wave equation and nonlinear structural governing equation. The chaotic and nonlinear sound radiations were compu...

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Bibliographic Details
Published inAIMS mathematics Vol. 9; no. 3; pp. 5877 - 5885
Main Author Lee, Yiuyin
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2024
Subjects
chaotic vibration
nonlinear structural dynamics
panel-cavity system
sound reduction
vibro-acoustics
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Summary:Here, I was the first to investigate the sound reduction of a chaotically vibrating curved panel with/without a cavity. A sound reduction formula was obtained by combining the homogeneous wave equation and nonlinear structural governing equation. The chaotic and nonlinear sound radiations were computed from the multi-mode coupled formulations using a numerical integration method. The results obtained from the proposed method and classical harmonic balance method were generally in reasonable agreement. A modal convergence study was also performed to check the proposed method. The effects of chaotic vibration on the sound reduction of a curved panel with/without a cavity were studied in detail.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024286