Abstract
The nonlocal first-order shear deformation plate theory is used to present the thermal vibration of a single-layered graphene sheet (SLGS) resting on a viscoelastic foundation. The viscous damping term is added to the elastic foundation to get a three-parameter visco-Pasternak medium. The nonlocal shear deformation theory is applied to obtain the equations of motion of the simply-supported SLGSs. The effects of the nonlocal parameter as well as the length of the SLGS, mode numbers, three-parameters of the foundation, and the thermal parameter are discussed carefully for the vibration problem. The validation of the present frequencies is discussed with excellent comparison to the existing literature. For future comparisons, additional thermal vibration results of SLGSs are investigated to take into consideration the effects of thermal, nonlocal, and visco-Pasternak mediums.
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