Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

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

Author
Amir Hossein Nasrollah Barati
Assistant Professor, Department of Mechanical Engineering, Aligudarz Branch, Islamic Azad University, Aligudarz, Iran
10.30506/ijmep.2024.558221.1893
Abstract
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.
Keywords
Forced vibration
Annular sector plate
Dynamic response
Differential quadrature method
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  • Receive Date 21 July 2022
  • Revise Date 16 November 2023
  • Accept Date 03 July 2024