A parametric study has been done for a fluid-elastic system consisting of a clamped annular circular plate backed by two cavities by varying the system parameters based on an analytical formulation. The quantification of the coupled frequencies mainly depends on coupling of the acoustic and structural modes. Key parameters like geometry, speed of sound and fluid density influence this coupling significantly. Analysis of this coupling is done by means of a parametric study. The coupling effect in general will be manifested as an added stiffness effect or an added mass effect. © Springer India 2017.