Journal of Science and Technology of Composites

Hydroelastic vibration analysis of functionally graded circular plate in contact with bounded fluid by Ritz method

Document Type : Research Paper

Authors

1 Islamic Azad University, Science and research branch, Tehran, Iran

2 K. N. Toosi University, Tehran, Iran

Abstract

This study investigates the free vibration of a thick FG circular plate in contact with an inviscid and incompressible fluid. Analysis of the plate is based on First-order Shear Deformation Plate Theory (FSDT) with consideration of rotational inertial effects and transverse shear stresses. Dynamic transverse displacements of the plate are approximated by set of admissible Chebyshev functions which is required to satisfy the geometric boundary conditions. Potential theory together Bernouli’s equation are utilized to obtain the fluid pressure on the free surface of the plate. The governing equation of the oscillatory behavior of the fluid is obtained by solving Laplace equation and satisfying its boundary conditions. The natural frequencies and mode shapes of the plate are determined using Rayleith-Ritz method based on minimizing the Rayleith quotient. The effects of the geometrical parameters such as plate thickness to its radius ratio, boundary conditions, fluid density, volume fraction index, and height of the fluid on natural frequencies and mode shapes are investigated. Comparison of analytically outcome of this study is made with results of the experimental modal test for homogeneous Aluminum plate.

Keywords

Main Subjects

References
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Journal of Science and Technology of Composites
Volume 5, Issue 4
March 2019
Pages 529-538
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