Nonlinear transient response of axially moving graphene platelets reinforced metal foams plate with initial geometrical imperfection

This study investigates the under-researched effects of initial geometric imperfections on blast-induced nonlinear transient responses in axially moving graphene platelet reinforced metal foam (GPLRMF) plates. The Halpin-Tsai model and mixing rules determine equivalent physical parameters for various GPL distribution patterns. Nonlinear governing equations are derived via Kirchhoff plate theory and discretized using Galerkin's method with simply supported boundaries. Model validation is performed against established literature. The fourth-order Runge-Kutta method solves the transient response numerically. Parametric analysis examines seven key factors: GPL distribution patterns, weight fraction, porosity distribution/coefficient, blast intensity, damping coefficient, and geometric imperfections. Results demonstrate that initial imperfections significantly influence the plate's dynamic behavior under blast loading.