Abstract
In this paper an efficient formulation is proposed to calculate the sound radiation from a plate with edges viscoelastically restrained against translation and rotation and coupled to a cavity. The viscoelastic constants can be varied arbitrarily along the plate boundary and reproduce simply supported, clamped, free or guided edges as limiting cases. The formulation classically couples a modal expansion for the structure in vacuo and the cavity, using a coordinate transformation to calculate the fluid-structure coupled modes. The modal basis associated with the structure in vacuo is determined using a free component mode synthesis technique considering the viscoelastic parameters as components with a residual flexibility only. This approach is appropriate to compute the coupled modes efficiently and to perform a parameter study. Numerical examples are presented in the case of a plate excited either mechanically or acoustically. The aim of the study is to determine which boundary parameters have an influence on the acoustic behavior of plates and to develop tools for the pratical design of plate mounting conditions.
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