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Homogenization of a spectral problem for a pile foundation structure
Author(s) -
Aganović I.,
Delinić K.,
Tutek Z.
Publication year - 1997
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(199708)20:12<979::aid-mma897>3.0.co;2-g
Subject(s) - homogenization (climate) , pile , mathematics , boundary value problem , composite number , mathematical analysis , classical mechanics , physics , biodiversity , ecology , algorithm , biology
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 a partially composite structure arises in pile foundation mechanics. Assuming that the period of pile structure tends to zero, we obtain the macroscopic equations for free oscillations by homogenization method and prove the corresponding convergence result. © 1997 by B. G. Teubner Stuttgart–John Wiley & Sons Ltd.