▎ 摘　　要

Analytical solution for the steady-state response of a simply supported graphene sheet resting on a visco-Pasternak foundation under thermo-magnetic-mechanical loads based on the Eringen's nonlocal theory and Kirchhoff-Love plate and Kelvin-Voigt models is studied in this research. The graphene sheet is subjected to the moving concentrated load with a constant velocity. At first, the partial differential equation is converted to the ordinary differential equation based on the Galerkin method. Then, the multiple scales method (a perturbation method) is applied to obtain the appropriate solutions. In order to verify of presented linear frequencies in this research, the molecular dynamics simulation (MD) is employed and the obtained results are compared with reported results in the other literatures. Results demonstrate that the jump phenomenon is postponed with the increase of the some parameters such as temperature changes, initial stress, magnetic field, linear stiffness, shear modulus of visco-Pasternak foundation and viscoelastic structural damping coefficients of Kelvin-Voigt model. But, the jump phenomenon occurs earlier with the increase in force amplitude and the nonlocal parameter. Moreover, it is found that the non-linear stiffness has an important role in studying of jump phenomenon for graphene sheet subjected to moving concentrated load. In the next section of the paper, frequency-response equations under super-harmonic and sub-harmonic excitations are investigated.