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.

Archives of Acoustics

“…Therefore, there are a number of studies which provide some theoretical models, formulations as well as numerical methods which can be ap-plied to analyze an acoustic behavior of different objects. The sound radiation of surface sources such as plates has often been examined based on theoretical models and mathematical methods (Rdzanek, 2016;Unruh et al, 2015;Choi et al, 2014;Zawieska, Rdzanek, 2007). In practice, some radiators are often located inside regions such as, for example, acoustic rooms, waveguides, canyons as well as cavities.…”