Eringen’s Length-Scale Coefficients for Vibration and Buckling of Nonlocal Rectangular Plates with Simply Supported Edges

Abstract

For the nonlocal theory of structures, Eringen’s small length-scale coefficient e0 may be identified from atomistic modeling or experimental tests. In this study, Eringen’s small length-scale coefficients are presented for the vibration and buckling of nonlocal rectangular plates with simply supported edges. The coefficients are calibrated by comparing the vibration frequency and buckling loads obtained from a nonlocal plate and a microstructured beam-grid model with the same characteristic length. The beam-grid model is composed of rigid beams connected by rotational and torsional springs. It is found that the small length-scale coefficient e0 varies with respect to the initial stress, rotary inertia, mode shape, and aspect ratio of the rectangular plate.