HOMOGENIZATION OF A SPECTRAL PROBLEM FOR A PILE FOUNDATION STRUCTURE

The subject of this paper is the study of free oscillations of a compo site material consisting of an elastic medium and a large number of el astic piles periodically immersed in a part of the medium. The ends of piles lying on the boundary of the medium are clamped to a force-free rigid plate. Such a partially composite structure arises in pile foun dation mechanics. Assuming that the period of pile structure tends to zero, we obtain the macroscopic equations for free oscillations by hom ogenization method and prove the corresponding convergence result. (C) 1997 by B. G. Teubner Stuttgart-John Wiley & Sons Ltd.