Harmonic Rocking of a Rigid Rectangular Body on a Semi-Infinite Elastic Medium

[+] Author and Article Information
A. O. Awojobi

Research Department, C. A. V. Ltd., London, England

J. Appl. Mech 33(3), 547-552 (Sep 01, 1966) (6 pages) doi:10.1115/1.3625120 History: Received July 15, 1965; Online September 15, 2011


Dual integral equations representing the mixed boundary-value problem of the rocking of an infinitely long, rigid rectangular body on the free surface of a semi-infinite elastic medium are here solved. Dynamic stress distributions under the rigid body and resonance curves for motion of the body are derived from the solution of these equations. A graphical representation of the theoretical results provides a novel method for estimating Poisson’s ratio of soil from a knowledge of the rocking frequency of a building. Suitable published results of tests on actual buildings have been used to indicate the application of this method.

Copyright © 1966 by ASME
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