Coupled Rocking and Lateral Vibrations of Embedded Footings

A numerical model is described that was utilized to solve the problem of steady state coupled rocking and lateral vibrations of footings embedded into an elastic half space. The good accuracy of the model is confirmed by comparing results obtained for footings founded on the surface of the half space with corresponding results obtained by Veletsos and Wei (J. Soil Mech. Found. Div. Am. Soc. Civ. Eng. 97, pp. 1227–1249, 1971). The results indicate that embedded footings behave dynamically in a manner that cannot be properly predicted by the use of an appropriate embedded footing static spring constant in conjunction with displacement functions obtained for surface footings.