In this paper, a numerical Galerkin solution which can deal with different boundary conditions in a general manner has been developed for the vibration of nanoplates modeled as nonlocal Kirchhoff's thin plates. Through this Galerkin approach, the general form of natural boundary conditions
for the vibration of nonlocal thin plate has also been explicitly derived. Using the present Galerkin solution, the effects of nonlocal parameter, Poisson's ratio and aspect ratio on the vibration of nonlocal rectangular plates were studied for various boundary conditions; in particular, the
nonlocal plate including free edges, for which the Poisson's ratio has been observed to have significant effects on the vibration.
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