On the vibration dynamics of heterogeneous panels under arbitrary boundary conditions

Abstract

This work is promoted to analyze the time-dependent behavior of composite panels. Furthermore, different curves and boundary conditions are also covered. The material properties for the composite panel are assumed to be vary continuously within z-direction. The effective material properties are estimated via Voigt’s micro-mechanical model by a modified-power law rule for arbitrary power index. The governing motion equations for the dynamics of imperfect panels are evaluated by rewriting the classical Hooke’s law through Eringen nonlocal elasticity for a higher-order shear deformable theory. Then, a numerical solution for imperfect functionally graded doubly-curved panels with arbitrary boundary conditions is carried out. The panel considered in the current study has pure ceramic/metal-rich surfaces within top and bottom of the panel in which the synthesize of imperfections in the composite material are described by a cosine model of porosity distribution. Ultimately, the sensitivity of both time-dependent transverse displacement and stresses are studied for material composition, porosity level, geometrical parameters, nonlocality and excitation frequency that supported by simply-supported, clamped, free and the combination of them as well as different curves (i.e., spherical, elliptical, hyperbolic and cylindrical).