Critical Review of Thin‐Plate Stability Equations
Publication: Journal of Engineering Mechanics
Volume 118, Issue 3
Abstract
The formulation of the stability equations for continuously supported thin plates is reexamined. It is shown that the middle‐surface stress changes due to bending must be taken into account in a correct uncoupling of the equilibrium equations. The apparent absence of these stress changes in the final linear stability equations is shown to be a consequence of a little‐known orthogonality condition between the middle‐surface stresses in the plane configuration of the plate and the stress changes due to bending. With the knowledge of this orthogonality condition, previous inextensional arguments used in connection with plate stability are reassessed. A weighted‐integral approach is outlined for the stability of supported rectangular plates with generally distributed edge loadings. This is used to show practically how the stress changes associated with buckling can be determined from the linear eigenvalue solution without the need for further integration.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 118 • Issue 3 • March 1992
Pages: 481 - 495
Copyright
Copyright © 1992 ASCE.
History
Published online: Mar 1, 1992
Published in print: Mar 1992
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