Shaping of the frequency response of vibrating plates with openings for vibro-acoustic systems

The frequency response of vibrating plates with openings can be tailored through the shape and location of these openings in the mixed interfaces of vibro-acoustic systems. This paper introduces a novel method for designing the characteristics of openings in mixed interfaces to achieve the desired vibrational and acoustic responses. The core of this methodology is an analytical model that utilizes the Rayleigh-Ritz method, augmented by a radiation resistance matrix for precise estimation of sound power in a free field. This approach provides the essential flexibility to alter the shapes and locations of the openings. A Finite Element Method (FEM) is specifically employed to enhance the visualization of the interactions within the multiphysics domains of the vibro-acoustic systems. This FEM model, developed for the enclosure and coupled with the vibrating plate according to Kirchhoff's thin plate theory, is complemented by the Boundary Element Method (BEM) for the sound pressure calculations. The methodology is further substantiated by experimental validation, which confirms the theoretical predictions and enhances the credibility of the proposed models.