Vibration analysis of nano-beams consisted of graphenenickel layers

In this study, vibration analyses of nanobeams consisting of graphene and nickel layers were investigated both numerically and by molecular dynamics simulation method. During study, the arrangement of nanoscale graphene and Ni layers in the form of Gr-Ni-Gr is called a single-layer nanobeam, and the arrangement in the form of Gr-Ni-Gr-Ni-Gr is called double-layer nanobeam. Nanobeams composed of graphene and nickel layers were described using the nonlocal Euler-Bernoulli model. The solution of this model was realized by the differential quadrature method. Vibration analyses of single and double layer nanobeams of different lengths were performed according to the clamped-clamped boundary conditions. In molecular dynamics simulations, nanobeams are modelled atom by atom and the natural frequencies of the beams, which are forced to vibrate according to the initial conditions, are observed for a certain period and their natural frequencies are measured. The results obtained by both methods were found to be consistent with each other. When the results were examined, it was seen that the natural frequency values and non-local parameter values decreased nonlinearly because of the increase in the length value for both single-layer and double-layer nanobeams.