Multiscale simulation of temperature- and pressure-dependent nonlinear dynamics of PMMA/CNT composite plates

Owing to the excellent mechanical properties, polymethyl methacrylate (PMMA)/carbon nanotube (CNT) composite has been increasingly adopted in aerospace field, which is usually subjected various temperature conditions and supersonic aerodynamic loads. Using a molecular dynamics (MD)-based multiscale simulation, nonlinear forced vibration of PMMA/CNT plate investigated under coupled load conditions. The longitudinal, transverse shear moduli PMMA/single-walled CNT (SWCNT) nanocomposite obtained from MD simulation at different pressure levels are substituted into extended rule mixtures establish constitutive equations plate. Meanwhile, Poisson’s ratio thermal expansion coefficient used equations. Based on third-order deformation theory, von Karman strain–displacement relation Hamilton’s principle, partial differential equation derived, reduced set ordinary by applying Galerkin method solved using fourth-order Runge–Kutta method. bifurcation diagrams, phase portraits, time histories Poincare maps complex loads including harmonic excitation pressure, applied analyze dynamic characteristics system. This study reveals plate, contributes prediction long-term performance materials field.