Dynamic response of magneto-electro-elastic plates under moving load

Magneto-electro-elastic (MEE) materials, due to their unique magneto-electric coupling effect, exhibit the capability of rapidly converting between magnetic, electric, and mechanical energies. This distinctive property makes them indispensable for the fabrication of fundamental electronic components such as sensors and energy harvesters. This paper focuses on an MEE plate with initial geometric imperfections, delving into its response under moving loads and the comprehensive influence of multiple physical fields, including electric, magnetic, and thermal effects. Utilizing the classical theory, displacement formulations for the MEE plate with initial geometric imperfections are established, and the von Kármán nonlinear straindisplacement relations were adopted to describe the large deformation effects. Simultaneously, with the aid of Maxwell's equations, the constitutive equations for the MEE plate encompassing electric, magnetic, and thermal fields are derived, and the nonlinear motion equations are formulated using the Euler-Lagrange principle. Subsequently, the Runge-Kutta method is employed to solve for the vibration deflection at the center of the plate. To validate this study, comparative analyses and convergence verifications are provided. Finally, this paper thoroughly examines the specific impacts of various factors, such as initial geometric imperfections, BaTiO3 volume fraction, electric potential, magnetic potential, temperature, and load magnitude, on the dynamic behavior of the MEE plate.