The Sound Radiation of a Vibrating Baffled Simply Supported Rectangular Plate Located Near Two Flat Transverse Baffles

In this study, the problem of sound radiation has been analyzed in the case of a vibrating simply supported rectangular plate embedded in a flat baffle near two transverse baffles. It has been assumed that all the baffles are perfectly rigid and perpendicular to one another. They constitute the boundaries of the considered spatial region called the three-wall corner region. The baffles' dimensions are much greater than an acoustic wavelength. This means that they can be considered as infinite. Based on Green's function and an expansion in a series of the eigenfunctions, the formulas describing the sound radiation of the considered vibroacoustic system has been obtained. They allow the analysis of the sound radiation in the case of all the possible plate's locations relative to the transverse baffles. The Kelvin – Voigt model of a visco-elastic plate has been used to take into account the plate's material damping. Moreover, the influence of a medium being inside the considered spatial region on the plate's vibrations has been included. Some high accuracy results have been obtained by using a sufficiently large number of the plate's vibration modes in the corresponding numerical calculations. The sound power has been analyzed for sample external surface excitations realizable in practice by using piezoelectric elements located on the plate's surface. The influence of the plate's location on the sound power of the considered vibroacoustic system has been investigated. The distribution of sound pressure amplitude has also been analyzed for the considered spatial region. Using the obtained formulas at the stage of construction allows the prediction of some important acoustic properties of the considered vibroacoustic system and therefore they can be used for noise control.