Free vibration of magneto-electro-elastic functionally graded porous plates in contact with fluid using the C0-HSDT isogeometric approach

In this paper, the free vibration of magneto-electro-elastic functionally graded porous (MEE-FGP) plates horizontally or vertically immersed in the fluid medium are studied based on the C0-high order shear deformation theory (C0-HSDT) and isogeometric analysis (IGA). The MEE-FGP plate is composed of cobalt ferrite (CoFe2O4) and barium titanate (BaTi2O3). The four porosity distributions are as follows: uniform distribution (PD-U) and various functionally graded arrangements (PD-O, PD-X and PD-Λ). The electric and magnetic potentials are assumed as a half-cosine and linear variation according to Maxwell’s equation. The governing equation of motion for the MEE-FGP plate in contact with fluid is derived by Hamiton’s principle, and the ideal fluid flow is assumed to be homogeneous, inviscid, incompressible and irrotational. The added virtual mass for the fluid–contacting MEE-FGP plate is determined by the velocity potential function and Bernoulli’s equation. After verifying the convergence and effectiveness of the proposed method, new results for the fluid-MEE-FGP plate show that the natural frequency is affected by the porosity distribution, power-law gradient, porosity index, initial electric voltage, initial magnetic potential, fluid level, immersed depth, immersed distance, fluid density and the geometry of the plate. The pertinent calculation outcomes can provide a benchmark for the design and analysis of the MEE-FGP plates in contact with fluid. •Free vibration of MEE-FGP plates horizontally or vertically submerged in fluid are analyzed using C0-HSDT and IGA.•Natural frequency decreases as fluid height increases, and levels off after 1.•Natural frequency decreases with increasing electric voltage, whereas it increases with magnetic potential.•Increasing immersed distance rapidly raises the natural frequency before stabilizing.