Dynamic Response of Circular Footings

by Juan E. Luco, Res. Engr.; Dept. of Geophysics, Univ. of Chile, Santiago, Chile,
Russell A. Westmann, (A.M.ASCE), Assoc. Prof.; Mech. and Struct. Dept., School of Engrg. and Appl. Sci., Univ. of California, Los Angeles, CA,

Serial Information: Journal of the Engineering Mechanics Division, 1971, Vol. 97, Issue 5, Pg. 1381-1395

Document Type: Journal Paper


It is the purpose of the paper to present the dynamic compliances of a circular footing resting on an elastic half-space for a wide range of dimensionless frequency. Numerical results have been presented for the torsional, vertical, rocking and horizontal oscillations of a rigid disc placed on an elastic half-space, as well as for the coupling terms between the rocking and horizontal oscillations. The corresponding compliances, the stress distributions under the disc, and the Rayleigh wave part of the far-field displacements have been evaluated. It is hoped that these results will prove to be useful in the design of foundations for vibrating machinery and in the study of soil structure interaction.

Subject Headings: Dynamic response | Footings | Elastic analysis | Half space | Stress distribution | Foundation design | Machine foundations | Soil structures

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