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Korosh Khorshidi

Korosh Khorshidi

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-7321-972X
Education: PhD.
ScopusId: 23970920600
Faculty: Engineering
Address: Arak University
Phone: 086-32625720

Research

Title
Free vibration analysis of a functionally graded rectangular plate in contact with a bounded fluid
Type
JournalPaper
Keywords
vibration, functionally graded (FG), rectangular plate, fluid.
Year
2015
Journal Acta Mechanica
DOI
Researchers Korosh Khorshidi ، Ali Bakhsheshi

Abstract

This study investigates the vibration analysis of a functionally graded (FG) rectangular plate partially in contact with a bounded fluid. The material properties are assumed to vary continuously through the thickness direction according to a simple power-lawdistribution in terms of volume fraction of material constituents. Wet dynamic transverse displacements of the plate are approximated by a set of admissible trial functions, which are required to satisfy the clamped and simply supported geometric boundary conditions. The fluid velocity potential satisfying fluid boundary conditions is derived, and wet dynamic modal functions of the plate are expanded in terms of finite Fourier series for compatibility requirement along the contacting surface between the plate and the fluid. Natural frequencies of the plate coupled with sloshing fluid modes are calculated using the Rayleigh–Ritz method based on minimizing the Rayleigh quotient. The proposed analytical method is validated with available data in the literature. In the numerical results, the effects of boundary conditions, aspect ratios, thickness ratios, gradient index, material properties of the FG plate, depth of the fluid and dimensions of the tank on the wet natural frequencies are investigated.