Graphene origami-reinforced cylindrical shells: free vibration analysis for enhanced structural performance

This analytical paper investigates the impact of graphene origami as novel reinforcement on the vibrational characteristics of the cylindrical shells reinforced with a copper matrix including graphene origami metamaterials. The equations of motion are extracted using the Hamilton’s principle in which the constitutive relations using the shear deformable relation and the overall properties of constituent materials in the thermal environment. The shell is assumed constrained with simply and clamped boundary conditions. The Halpin–Tsai model is employed for derivation of the multi-dependent material properties. The analytical solution is proposed using the Navier and Galerkin approach for simply and other boundary conditions, respectively. The results will be presented parametrically with changes of graphene origami content and foldability as well as thermal load. The effect of small-scale parameter is studied on the natural frequency responses. A diminish in the frequencies is observed with an advance in the folding characteristics. The results of this study will be used for design and manufacturing the optimized composite structures with tuneable material properties and controllable responses.