Tension Buckling of Rectangular Sheets Due to Concentrated Forces
Publication: Journal of Engineering Mechanics
Volume 115, Issue 12
Abstract
Very thin rectangular plates (sheets) may buckle due to concentrated tensile forces acting upon two opposite edges. In such cases the buckling (wrinkling) mode shape has a more rapid change in the direction transverse to the loading. The plane elasticity problem is first solved to determine the internal stress field with reasonable accuracy. This is done by superimposing the exact solution for the point‐loaded circular disk upon a finite element solution for the rectangular sheet. The Ritz method is used to solve the buckling problem for all the edges simply supported. Convergence studies are made to determine the accuracies of the results. Critical buckling loads and mode shapes are determined for plates of aspect ratio 0.5, 1, and 2, loaded either at the center points or quarter points of two opposite edges by two tensile forces. The physical reality of the tension buckling phenomenon is further analyzed by calculations for the free vibration frequency spectrum of the plate. This is fhe first known theoretical study made for tension buckling of plates.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 115 • Issue 12 • December 1989
Pages: 2749 - 2762
Copyright
Copyright © 1989 ASCE.
History
Published online: Dec 1, 1989
Published in print: Dec 1989
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