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Nonlocal Plate Model for the Free Vibration Analysis of Nanoplates with Different Boundary Conditions

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Abstract:

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.

Keywords: FREE EDGE BOUNDARY CONDITIONS; GALERKIN FORMULATION; NANOPLATE VIBRATION; NONLOCAL PLATE THEORY

Document Type: Research Article

DOI: http://dx.doi.org/10.1166/jctn.2011.1934

Publication date: October 1, 2011

More about this publication?
  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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