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Abstract
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In this article, classical plate theory (CPT) is reformulated using the nonlocal
differential constitutive relations of Eringen to develop an equivalent continuum
model for orthotropic triangular nanoplates. The equations of motion are derived and
the Galerkin’s approach in conjunction with the area coordinates is used as a basis for
the solution. Nonlocal theories are employed to bring out the effect of the small scale
on natural frequencies of nano scaled plates. Effect of nonlocal parameter, lengths of
the nanoplate, aspect ratio, mode number, material properties, boundary condition and
in-plane loads on the natural frequencies are investigated. It is shown that the natural
frequencies depend highly on the non-locality of the nanoplate, especially at the very
small dimensions, higher mode numbers and stiffer edge condition.
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