Study of the sound radiation of a rectangular plate resting on a winkler elastic foundation

• Main Authors: Bastián-Monarca, Nicolás A., Arenas, Jorge P.
• Format: Conference Proceeding
• Language: English
• ISSN: 1939-800X
• DOI: 10.1121/2.0000419

This article presents a method to estimate the effect of an elastic foundation on the sound radiation of a rectangular plate. The method is based on singular value decomposition of a matrix which is computed through a division of the vibrating surface into a finite number of small circular piston sources. The calculation of the sound radiation is based just on surface velocity information and a direct numerical evaluation of the radiation resistance matrix of the plate. Equations are obtained for calculating the damped natural frequencies for both SS-C-SS-C and SS-SS-SS-SS plates. It is concluded that the damped natural frequencies depend upon the stiffness of the elastic foundation. However, the mode shapes of the plate do not depend on the stiffness of the elastic foundation. Moreover, we calculated the effect of the elastic foundation on the sound power level of the plate subjected to a forced vibration. It is observed that the sound power level of the plate has an inverse relationship with the stiffness of the elastic foundation. Thus, the results obtained showed that the use of an elastic foundation in a plate appears to be convenient for both structural and airborne noise control.