The Study of Effect of Fluid Column Pressure on the Dynamic Response of an Annular Sector Plate using the Differential Quadrature Method

In this study, the dynamic response of an annular sector plate in contact with incompressible fluid under harmonic load is investigated. The governing equations of the plate are derived based on First-order Shear Deformation Plate Theory (FSDT) with consideration of rotational inertial effects and transverse shear stresses and using the Hamilton’s principle. In addition, the governing equation of the oscillating behavior of the fluid is obtained by solving the Laplace equation as a function of velocity potential and satisfying the boundary conditions of the fluid. The differential quadrature (DQ) and Newmark methods are used to determine the vibrational behavior of the plate. The results of this study are compared and validated with results of other works and Finite Element Method (FEM) software. Finally, the effects of the different geometrical parameters such as the inner radius to outer radius ratio, the height to Thickness ratio, thickness to outer radius ratio of plate, fluid density and fluid height to plate thickness on the dynamic response of the plate are investigated.