Fluid-Structure Coupling Vibration of an Elastically Restrained Circular Plate

Abstract

Abstract In this paper, an analytical method is presented to calculate the fluid-structure coupling vibration of an elastically restrained circular plate. The displacement of the plate is expanded in series of dry mode shapes and the motion of the fluid is described by velocity potential function. Considering the equilibrium differential equation of the plate and the velocity continuous conditions at the interface of fluid and structure, the Galerkin method and expansion of Fourier-Bessel series are used to establish the governing equations of the system. The free vibration characteristics of the circular plate in contact with fluid are studied and the present method is verified by comparison with numerical results. Furthermore, the influence of spring stiffness and fluid depth on the free vibration characteristics of the circular plate is investigated.