Eringen’s Length-Scale Coefficients for Vibration and Buckling of Nonlocal Rectangular Plates with Simply Supported Edges
Publication: Journal of Engineering Mechanics
Volume 141, Issue 2
Abstract
For the nonlocal theory of structures, Eringen’s small length-scale coefficient 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 varies with respect to the initial stress, rotary inertia, mode shape, and aspect ratio of the rectangular plate.
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 2 • February 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Dec 30, 2013
Accepted: May 8, 2014
Published online: Jul 23, 2014
Published in print: Feb 1, 2015
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