Fast analytical approximations for the acoustic radiation impedance of rectangular plates with arbitrary boundary conditions
نویسندگان
چکیده
The radiation impedance is an essential parameter in analyzing the vibroacoustic response of planar source. In order to calculate acoustic rectangular plate with arbitrary boundary conditions, a unified approximate approach proposed this study. displacement function expressed form supplemented two-dimensional Fourier cosine series, which can be solved by Rayleigh–Ritz method. radiated field from further determined Rayleigh integrals. coordinate transformation performed twice convert quadruple integrals into simple integrals, significantly reducing computational effort calculation. Regardless wavenumber or frequency, theoretically accurate because no assumptions approximations are involved mathematical process. Furthermore, correctness formulas validated results obtained previous studies. Several numerical examples using approach, and effects conditions on modal discussed.
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ژورنال
عنوان ژورنال: AIP Advances
سال: 2023
ISSN: ['2158-3226']
DOI: https://doi.org/10.1063/5.0131401