Nonlinear transient response of geometrically MEE annular plates under blast loading: a parametric analysis

This paper investigates the nonlinear transient response of geometrically imperfect magneto-electroelastic (MEE) annular plates subjected to explosive blast loading. The governing equations are formulated based on first-order shear deformation theory, Maxwell’s equations, and the Euler–Lagrange principle, incorporating geometric nonlinearity and multifield coupling. The resulting system is solved numerically using the Runge–Kutta method. Time-history curves and phase trajectory diagrams are employed to illustrate the effects of key parameters, including ambient temperature, electric and magnetic potentials, damping coefficient, positive phase duration, and peak blast pressure. Parametric analysis reveals several key findings: (1) elevated temperatures amplify vibration amplitudes and phase velocities due to thermal expansion and stress; (2) electric potentials intensify dynamic responses, while magnetic potentials exert a suppressive effect, with magnetic dominance enabling dual-parameter optimization; (3) increasing the damping coefficient significantly reduces oscillation amplitudes and accelerates energy dissipation, enhancing blast resilience; and (4) higher blast load parameters (peak pressure and positive phase duration) increase total impulse and thereby exacerbate structural vibrations. These findings highlight the complex interactions among electromechanical coupling, imperfection sensitivity, and transient loading conditions. The study provides new insights into the design of smart MEE annular plates under extreme environments, offering a foundation for optimizing electromagnetic parameters and damping characteristics to improve structural stability and blast resistance.