Influence Coefficients for Dynamic Response of Foundations
Publication: Journal of Engineering Mechanics
Volume 115, Issue 11
Abstract
A direct time‐domain boundary element method (BEM) for determining the dynamic response of a rigid massless foundation resting on the surface of an elastic half‐space is introduced for the case of relaxed boundary conditions. For the first time, closed‐form expressions are obtained for the integrals involved in defining the influence coefficients associated with this method. These time‐dependent coefficients relate the traction on a source element and the displacement in a receiver element. The method is then applied to evaluate the response of a massless rigid square foundation resting on the surface of an elastic half‐space and subjected to impulsive loading, and the results are compared with the response estimates derived from an existing time‐domain BEM approach that uses a numerical solution when dealing with the integrals defining the influence coefficients. The present procedure provides greater accuracy and involves less computational effort than this numerical treatment. When applied to a rigid disc foundation, it also yields response results that are in good agreement with those derived from an existing “exact” solution. The analytical method presented can also be employed to analyze the dynamic response of a foundation of arbitrary shape.
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Published In
Journal of Engineering Mechanics
Volume 115 • Issue 11 • November 1989
Pages: 2493 - 2506
Copyright
Copyright © 1989 ASCE.
History
Published online: Nov 1, 1989
Published in print: Nov 1989
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