Analytic Solution for Dynamic Loading on Half‐Space Medium
Publication: Journal of Engineering Mechanics
Volume 117, Issue 7
Abstract
A systematic procedure for generating impedance matrices for foundations resting on an elastic half‐space medium is presented. The prescribed harmonic loading due to the foundation is decomposed into an infinite Fourier series with respect to the azimuth. For each Fourier component an analytic solution is found. Then, provided that the interaction stresses due to excitation of the foundation can be assumed to be piecewise linear in the r‐direction of the cylindrical coordinates, the impedance matrix of the foundation can be generated using the variational principle and the reciprocal theorem. A simple example of a rigid circular plate, rigidly attached to the half‐space medium, and subjected to torsional, vertical, rocking, and horizontal exitation is used to demonstrate the effectiveness and efficiency of the procedure.
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Published In
Journal of Engineering Mechanics
Volume 117 • Issue 7 • July 1991
Pages: 1485 - 1494
Copyright
Copyright © 1991 ASCE.
History
Published online: Jul 1, 1991
Published in print: Jul 1991
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