Body Wave Excitations of Embedded Hemisphere

by Vincent W. Lee, Research Asst. Prof.; Dept. of Civ. Engrg., Univ. of Southern California, University Park, Los Angeles, Calif. 90007,
Mihailo D. Trifunac, (Aff.M.ASCE), Prof.; Dept. of Civ. Engrg., Univ. of Southern California, University Park, Los Angeles, Calif. 90007,


Serial Information: Journal of the Engineering Mechanics Division, 1982, Vol. 108, Issue 3, Pg. 546-563


Document Type: Journal Paper

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.

Subject Headings: Foundations | Excitation (physics) | Arbitration | Transient response | Vibration | Embedment | Bonding

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