title: The acoustic power of a vibrating clamped circular plate revisited in the wide low frequency range using expansion into the radial polynomials.
abstract: This study deals with the classical problem of sound radiation of an excited clamped circular plate embedded into a flat rigid baffle. The system of the two coupled differential equations is solved, one for the excited and damped vibrations of the plate and the other one-the Helmholtz equation. An approach using the expansion into radial polynomials leads to results for the modal impedance coefficients useful for a comprehensive numerical analysis of sound radiation. The results obtained are accurate and efficient in a wide low frequency range and can easily be adopted for a simply supported circular plate. The fluid loading is included providing accurate results in resonance.
authors.affiliation: Department of Mechatronics and Control Science, Faculty of Mathematics and Natural Sciences, University of Rzeszów, Profesora Stanisława Pigonia 1, 35-310 Rzeszów, Poland.
authors.forename: Wojciech P
authors.initials: WP
authors.lastname: Rdzanek