Bending Solutions of Axisymmetric Levinson Plates in Terms of Corresponding Kirchhoff Solutions
Publication: Journal of Engineering Mechanics
Volume 127, Issue 12
Abstract
This paper presents exact axisymmetric bending solutions of circular and annular plates based on the higher-order plate theory of Levinson. The solutions are displayed in terms of the corresponding Kirchhoff (or classical thin) plate solutions. These Kirchhoff-Levinson bending relationships are derived using the mathematical similarity of the governing equations of the two plate theories and the basis of load equivalence. The relationships allow one to readily deduce the more accurate Levinson plate solutions that account for the effect of transverse shear deformation, without having to solve the more complicated Levinson plate equations.
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References
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 127 • Issue 12 • December 2001
Pages: 1296 - 1308
History
Received: Apr 13, 2000
Published online: Dec 1, 2001
Published in print: Dec 2001
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