Investigating nonlinear dynamics and vibration of composite cylindrical shells with Graphene-origami enabled cores

This work investigates the nonlinear dynamic response and oscillation analysis of composite-structured cylindrical shells. The core of this structure is constructed from graphene origami (Gori), a metamaterial with a negative Poisson's ratio (NPR). The exterior sides of this structure are composed of aluminum. To precisely determine the dynamic response of a framework, it is subjected to specific conditions, including external excitation and pre-loading. The governing Equations for the behavior and motion of the cylindrical shell are obtained utilizing the enhanced Donnell theory and the nonlinear von Karman theory, facilitating a more precise description of the shell's nonlinear behavior. This study has addressed the boundary conditions for the cylindrical shell in a straight forward manner. The governing Equations of the structure have been resolved utilizing the Galerkin's approach, and the resultant numerical results have been analyzed. This article aims to examine the linear and nonlinear vibration response ratios of cylindrical shells, taking into account the effect of negative Poisson's ratio and its nonlinear dynamic analysis. The findings of the current investigation are shown in the relevant tables alongside related research. This research examines the impact of oscillations in the geometric parameters of the structure and the characteristics of graphene origami as critical variables. The results are illustrated in figures, and their impact on the dynamic and vibrational characteristics of the structure is examined. This research investigates the dynamic behavior of cylindrical composite shells and offers solutions to the issues within this domain by analyzing the applications of this construction.