Article ID Journal Published Year Pages File Type
1546543 Physica E: Low-dimensional Systems and Nanostructures 2009 6 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Materials Science Electronic, Optical and Magnetic Materials
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