Journal
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES
Volume 41, Issue 8, Pages 1628-1633Publisher
ELSEVIER
DOI: 10.1016/j.physe.2009.05.013
Keywords
Nanoplates; In-plane vibration; Nonlocal plate theory
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In the present paper, small-scale effects on the free in-plane vibration (FIV) of nanoplates are investigated employing nonlocal continuum mechanics. Equations of motion of the nonlocal plate model for the aforementioned study are derived and presented. Explicit relations for natural frequencies are obtained through direct separation of variables. It has been shown that nonlocal effects are quite significant in in-plane vibration studies and need to be included in the continuum model of nanoplates such as in graphene sheets. (C) 2009 Elsevier B.V. All rights reserved.
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