Research Article
Feb 1982
Dynamic Response of Plate on Elastic Half-Space
Publication: Journal of the Engineering Mechanics Division
Volume 108, Issue 1
Abstract
Analytical results are presented for the dynamic response of a plate bearing on an elastic half-space and subjected to harmonic forces. The present work represents a departure from existing analyses in that herein both the flexibility and three-dimensionality of the plate are taken into account. Displacements and contact stresses are presented for square plates having a practical range of flexural stiffness. The harmonic analysis is conducted within the framework of a global stiffness solution, in which the plate and subgrade impedance matrices are formulated independently in accordance with a prescribed discretization pattern. Then compatibility of displacements and equilibrium of forces are enforced at the plate-subgrade interface. Solutions are presented for massless square plates subjected to harmonic point, uniform pressure, and moment loadings. The effect of the plate's mass on its response is studied by starting with a perfectly flexible massive plate and subsequently increasing the stiffness toward the limit of a completely rigid plate.
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Published In
Journal of the Engineering Mechanics Division
Volume 108 • Issue 1 • February 1982
Pages: 133 - 154
Copyright
© 1982 American Society of Civil Engineers.
History
Published in print: Feb 1982
Published online: Feb 3, 2021
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Authors
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William L. Whittaker, AM.ASCE
Asst. Prof., Dept. of Civ. Engrg., Carnegie-Mellon Univ., Pittsburgh, Pa.
Paul Christiano, M.ASCE
Assoc. Prof., Dept. of Civ. Engrg., Carnegie-Mellon Univ., Pittsburgh, Pa.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.