Vibration and Stability Analysis of a Pasternak Bonded Double- GNR-System Based on Different Nonlocal Theories

چکیده مقاله

This study deals with the vibration and stab ility analysis of double-graphene nanoribbon- system (DGNRS) based on different nonlocal elas ticity theories such as Eringen's nonlocal, strain gradient, and modified couple stress within the framework of Rayleigh beam theory. In this system, two graphene nanoribbons ( GNRs) are bonded by Pasternak medium which characterized by Winkler modulus and shear modul us. An analytical appr oach is utilized to determine the frequency and critic al buckling load of the coupled system. The three vibrational states including out-of-phase vibration, in-pha se vibration and one GNR being stationary are discussed. A detailed pa rametric study is conducted to eluc idate the influences of the small scale coefficients, stiffness of the internal elastic medium, mode number and axial load on the vibration of the DGNRS. The results reveal that the dimensionless frequency and critical buckling load obtained by the strain gradient th eory is higher than the Eringen's and modified couple stress theories. Moreover, the small scale effect in the case of in-phase vibration is higher than that in the other cases. This study mi ght be useful for the design of nano-devices in which GNRs act as basic elements.