Mixed‐Variational Approach for Restrained PlateHalf‐Space Interaction
Publication: Journal of Engineering Mechanics
Volume 117, Issue 8
Abstract
A mixed‐variational approach is presented to analyze the axisymmetric flexural interaction between a thin circular plate with a restrained edge and an isotropic elastic half‐space. In this approach, both the plate deflection and the flexural moments are treated as independent variables and are approximated by power series in terms of the radial coordinate and a set of unknown constants. The effect of the restrained boundary is accounted for by including an appropriate term in the mixed‐variational functional (irs), which is applicable for a thin semi‐infinite cylindrical shell connected monolithically with the circular plate at its edge. The unknown constants associated with the approximation functions are evaluated using the stationary property of the functional (irs). Numerical results are presented to demonstrate the effects of edge restrainments on the plate deflection and the flexural moments. It is found that the edge restrain can significantly influence these quantities. The mixed‐variational approach presented here is computationally more efficient than the potential energy‐based methods and can be used effectively to study the flexural response of restrained and unrestrained plates of practical interest.
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Published In
Journal of Engineering Mechanics
Volume 117 • Issue 8 • August 1991
Pages: 1755 - 1770
Copyright
Copyright © 1991 ASCE.
History
Published online: Aug 1, 1991
Published in print: Aug 1991
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