Abstract
In this article, the effect of fluid dynamic pressure on the linear vibration of the annular sector plate has been investigated. The pressure introduced from the fluid to the plate is determined by solving the Laplace equation and satisfying its boundary conditions. Also, the governing equations of plate motion are determined using the first-order shear deformation plate theory and the Hamilton principle. The shape of the modes is based on the satisfaction of the boundary conditions of the plate. By using shape modes and Galerkin method, the governing equations have become linear differential equations based on time. Then, by considering the harmonic response and solving the characteristic equation, the natural frequency will be determined. At the end, the numerical results are presented for a sample plate and the effect of parameters such as aspect ratio, sector angle, boundary conditions, fluid density and fluid height has been investigated. Also, the results obtained are verified with the current research and FEM (ANSYS software), which shows good accuracy.
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