Abstract
ABSTRACTA scale-dependent continuum model is presented to investigate the effect of initial in-plane edge displacement on the nonlinear vibration and electromagnetic buckling of magneto-electro-elastic (MEE) ultrathin films using the nonlocal continuum mechanics and the von Kármán's theory of large deflections. The coupled nonlinear governing differential equations are solved employing Galerkin's approach and a perturbation method. Analytical relations are obtained to highlight the impact of initial edge displacement on the nonlinear natural frequencies as well as the buckling electric and magnetic potentials. It is shown that the initial edge displacement plays a crucial role in the nonlinear response of MEE nanofilms.
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