Nonlinear low-velocity impact of magneto-electro-elastic plates with initial geometric imperfection

Abstract

Magneto-electro-elastic (MEE) materials are widely used in the aviation and spaceflight area, attributed to magneto-electric coupling effect of MEE materials which can achieve mutual energy conversion in complex physical fields. This article takes the imperfect MEE plate as the research object to explore the nonlinear low-velocity behaviors, and the influence of multiple physical fields such as electric, magnetic and temperature fields are taken into account. Based on Maxwell's equations and first-order shear deformation theory (FSDT), the constitutive equation of MEE plate is obtained, and the nonlinear motion equations are derived using the Euler-Lagrange principle. Subsequently, with the aid of the Galerkin method, the ordinary differential equations are obtained by discretizing the partial differential equations. Then the low-velocity impact problem is solved using the Runge-Kutta method. Finally, the impacts of unknown factors upon the dynamic behaviors of the MEE plate are illustrated particularly. It can be found that the magnetic and electric potentials have opposite effects on the impact displacement of the plate, and the MEE plate with the lowest volume fraction of BaTiO3 has the smallest center displacement and the shortest contact time, but has the maximum contact force.