Forced Vertical Vibration of Circular Plate in Multilayered Poroelastic Medium
Publication: Journal of Engineering Mechanics
Volume 129, Issue 11
Abstract
This paper considers the vertical vibrations of an elastic circular plate in a multilayered poroelastic half space. The plate is subjected to axisymmetric time–harmonic vertical loading and its response is governed by the classical thin-plate theory. The contact surface between the plate and the multilayered half space is assumed to be smooth and either fully permeable or impermeable. The half space under consideration consists of a number of layers with different thicknesses and material properties and is governed by Biot’s poroelastodynamic theory. The vertical displacement of the plate is represented by an admissible function containing a set of generalized coordinates. Contact stress and pore pressure jump are established in terms of generalized coordinates through the solution of flexibility equations based on the influence functions corresponding to vertical and pore pressure loading. Solutions for generalized coordinates are obtained by establishing the equation of motion of the plate through the application of Lagrange’s equations of motion. Selected numerical results are presented to portray the influence of various parameters on dynamic interaction between an elastic plate and a multilayered poroelastic half space.
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Published In
Journal of Engineering Mechanics
Volume 129 • Issue 11 • November 2003
Pages: 1330 - 1341
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Sep 13, 2002
Accepted: Feb 25, 2003
Published online: Oct 15, 2003
Published in print: Nov 2003
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