Free vibration of a horizontal functionally graded rectangular plate submerged in fluid medium

• Published in: Ocean engineering Vol. 216; p. 107593
• Main Authors: Thinh, Tran Ich, Tu, Tran Minh, Van Long, Nguyen
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 15.11.2020
• Subjects: Closed-form solution; First-order shear deformation plate theory; Fluid–structure interaction; Free vibration; Functionally graded plates; First-order shear deformation plate theory; Closed-form solution; Fluid–structure interaction; Free vibration; Functionally graded plates
• ISSN: 0029-8018; 1873-5258
• DOI: 10.1016/j.oceaneng.2020.107593

This paper examines the vibrational characteristic of a horizontal functionally graded (FG) rectangular plate submerged in fluid medium. Young's moduli and mass density vary continuously in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents, while other properties are assumed to be constant. The fluid is considered to be ideal, incompressible, inviscid and irrotational, thus the effects of hydrostatic pressure and free surface waves are not taken into account. Governing equation for the fluid-plate system is derived based on the first-order shear deformation theory. The fluid velocity potential is derived from the boundary conditions for the plate-fluid system and is used to determine the added mass. To demonstrate the accuracy of the present analytical solution, a comparison is made with those reported in open literature. The influence of different parameters including interaction boundary conditions, power law index, metal-to-ceramic Young's modulus, density ratios of the FG plate, thickness to length ratios, aspect ratios, fluid density and fluid depth on the nondimensional natural frequencies of FG rectangular plate are quantitatively examined and discussed in tabular and graphical forms. •Free vibration analysis of a horizontal functionally graded (FG) rectangular plate submerged in fluid medium based on the first-order shear deformation theory.•The Poisson's ratios of the FGMs are assumed to be constant, Young's moduli and mass density are defined by power-law function.•The fluid is assumed to be ideal, incompressible and inviscid with small amplitude motion and the effects of hydrostatic pressure and free surface waves are negligible.•The new results show that, for all the cases of interaction boundary conditions investigated, the nondimensional natural frequencies of a FG plate in presence of fluid are significantly lower than those of without fluid because of added mass effects.