Buckling of Nonlocal Columns with Allowance for Selfweight
Publication: Journal of Engineering Mechanics
Volume 142, Issue 7
Abstract
This paper presented new analytical solutions for the elastic buckling of Eringen’s nonlocal columns with allowance for selfweight. A discrete column model on the basis of the central finite difference formulation and the equivalent Hencky bar-chain model also were presented for this buckling problem. The discrete column model allows one to determine the buckling solutions of columns constructed from repetitive cells. In addition, one may use the discrete buckling solutions to calibrate the small-length scale coefficient in the Eringen’s nonlocal column model. It was found that values varied from 0.289 to 0.373 with respect to increasing selfweight for clamped-free column case, from 0.289 to 0.276 for the pinned-pinned column case, and from 0.289 to 0.281 for the clamped-clamped column case.
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Published In
Journal of Engineering Mechanics
Volume 142 • Issue 7 • July 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: May 8, 2015
Accepted: Jan 19, 2016
Published online: Mar 15, 2016
Published in print: Jul 1, 2016
Discussion open until: Aug 15, 2016
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