Vibro-acoustic formulation of elastically restrained shear deformable stiffened rectangular plate

A method constructed on the basis of the Rayleigh–Ritz method and the first Rayleigh integral is presented for the vibro-acoustic analysis of elastically restrained shear deformable stiffened rectangular orthotropic plates. In the proposed method, the displacement fields of the plate and stiffeners are formulated on the basis of the first-order shear deformation theory. The theoretical sound pressure level (SPL) curve of the plate is constructed using the responses at different excitation frequencies and the first Rayleigh integral. The experimental SPL curve of an elastically restrained stiffened orthotropic plate was measured to verify the accuracy of the theoretical SPL curve of the plate. The effects of Young’s modulus ratio E1/E2 on the sound radiation characteristics of elastically restrained stiffened orthotropic plate with different aspect ratios are studied using the proposed method. It has been shown that the effects of Young’s modulus ratio become more prominent as the plate aspect ratio gets larger.