Research Article
Jun 1982
Body Wave Excitation of Embedded Hemisphere
Authors: Vincent W. Lee and Mihailo D. TrifunacAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 108, Issue 3
Abstract
Solutions of three-dimensional vibrations of an embedded hemispherical foundation are presented for excitation by incident plane P, SV, and SH waves with arbitrary angles of incidence. The effects of embedment are illustrated by comparing the motion of the embedded hemispherical foundation with those of a rigid disc bonded to a half space of equal radius and excited by the same waves. The impedence matrix and the foundation motion are analyzed and compared with similar and reLated approximate solutions. In the context of Fourier synthesis, the results can be viewed as representing the transfer functions for the forces and motions of the foundation. For arbitrary transient excitation which can be represented by plane body waves, the results can be used to calculate the transient motion of the foundation.
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Published In
Journal of the Engineering Mechanics Division
Volume 108 • Issue 3 • June 1982
Pages: 546 - 563
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© 1982 American Society of Civil Engineers.
History
Published in print: Jun 1982
Published online: Feb 3, 2021
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Vincent W. Lee
Research Asst. Prof., Dept. of Civ. Engrg., Univ. of Southern California, University Park, Los Angeles, Calif. 90007
Mihailo D. Trifunac
Prof., Dept. of Civ. Engrg., Univ. of Southern California, University Park, Los Angeles, Calif. 90007
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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.