engleski

Homogenization of a spectral problem for a pile foundation structure

The subject of this paper is the study of free oscillations of a composite material consisting of an elastic medium and a large number of elastic 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 partially composite structure arises in pile foundation mechanics. Assuming that the period of pile stucture tends to zero, we obtain the macroscopic equations for free oscillations by homogenization method and prove the corresponding convergence result.

homogenization ; eigenvalue problem ; pile foundation ; elastic composite material

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