Transient Response of a Buried Foundation to Antiplane Shear Waves

[+] Author and Article Information
S. A. Thau, A. Umek

Department of Mechanics and Mechanical and Aerospace Engineering, Illinois Institute of Technology, Chicago, Ill.

J. Appl. Mech 40(4), 1061-1066 (Dec 01, 1973) (6 pages) doi:10.1115/1.3423126 History: Received October 01, 1972; Online July 12, 2010


A rigid rectangular foundation, embedded at an arbitrary depth below the surface of an elastic half space is subjected to a plane, transient SH-wave. The Laplace and Kantorovich-Lebedev transforms are applied to derive the equation of motion for the foundation during the initial time period required for an SH-wave to traverse the base width. The peak impulse response is found to occur during this time and the response there-after appears to be valid based on a comparison with the known, long-time limit. Consequently, the results presented here can be convolved with an earthquake accelerogram to yield an accurate foundation earthquake response.

Copyright © 1973 by ASME
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