forced-vibration analysis of a coupled system of slgss by visco- pasternak medium subjected to a moving nano-particle

in this study, forced-vibration analysis of a coupled system of single layered graphene sheets (slgss) subjected to the moving nano-particle is carried out based on nonlocal elasticity theory of orthotropic plate. two slgss are coupled with elastic medium which is simulated by pasternak and visco-pasternak models. using hamilton’s principle, governing differential equations of motion are derived and solved analytically. the effects of small scale, aspect ratio, velocity of nano-particle, time parameter, mechanical properties of graphene sheets, visco-elastic medium on the maximum dynamic responses of each slgss are studied. results indicate that, if the medium (elastic or visco-elastic medium) of coupled system becomes more rigid, the maximum dynamic displacements of both slgss will be closer together.