| Abstrakt: |
This paper deals with the free vibrational behavior of two crossed graphene nanoribbons (GNRs) embedded in an elastic medium using nonlocal continuum-based models. The interactional van der Waals (vdW) forces have a crucial role to play in the vibration of the graphene-based nanostructure. The Lennard–Jones potential function is employed to model the non-uniform vdW force between two crossed GNRs. Eringen's differential/integral nonlocal models are developed to derive the equations of motion on the basis of Rayleigh and Timoshenko beam theories. Then, Galerkin's procedure, as a discretization method, and the assumed mode technique, as a solution method for ordinary integro-differential equations, are implemented. Several numerical studies, including the effects of intersection angle, intersection point, nonlocal parameter, and stiffness of elastic medium on the mechanics of nanostructure, are provided to show how the present models affect the free vibration of the system. The study results show that the consideration of non-uniform interactional vdW force leads to a more comprehensive model for dynamic analysis of nanostructure, and the value of intersection angle has a significant influence on the vibration of two crossed GNRs. [ABSTRACT FROM AUTHOR] |
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