ANALYSIS OF VIBRATIONS OF A SPATIAL ACOUSTIC SYSTEM BY THE BOUNDARY INTEGRAL-EQUATIONS METHOD

A coupled structural-acoustical problem of vibrations for the spatial acoustic system is considered. The acoustic system is a rectangular box consisting of elastic plates. The interactions between the structure and the acoustic media both inside and outside of the structure are taken into account. One of the plates consists of two parts: an annular plate and a circular one, which is inserted in the hole. This structure is a simplified model of an audio system consisting of several loudspeakers mounted on the lateral surface of a rectangular thin-walled box. The loudspeaker, typically consisting of a conical shell of variable thickness with electromagnet attached to the shell, is modeled by a thin plate of a uniform thickness. The two level system of boundary integral equations is formulated and a numerical analysis of the vibrations excited by the load applied to the circular plate is performed.