@article{Lee2024, 
author = {Yiuyin Lee},
title = {Sound reduction of a panel-cavity system with a chaotically vibrating boundary},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {3},
pages = {5877-5885},
keywords = {chaotic vibration, nonlinear structural dynamics, vibro-acoustics, sound reduction, panel-cavity system},
url = {https://www.sciopen.com/article/10.3934/math.2024286},
doi = {10.3934/math.2024286},
abstract = {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.}
}