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Geomechanics and Engineering
  Volume 23, Number 6, December25 2020, pages 547-560

A polynomial mathematical tool for foundation-soil-foundation interaction
Badreddine Sbartai

    This paper studies the dynamic foundation-soil-foundation interaction for two square rigid foundations embedded in a viscoelastic soil layer. The vibrations come from only one rigid foundation placed in the soil layer and subjected to harmonic loads of translation, rocking, and torsion. The required dynamic response of rigid surface foundations constitutes the solution of the wave equations obtained by taking account of the conditions of interaction. The solution is formulated using the frequency domain Boundary Element Method (BEM) in conjunction with the Kausel-Peek Green's s function for a layered stratum, with the aid of the Thin Layer Method (TLM), to study the dynamic interaction between adjacent foundations. This approach allows the establishment of a mathematical model that enables us to determine the dynamic displacements amplitude of adjacent foundations according to their different separations, the depth of the substratum, foundations masss, foundations embedded, and the frequencies of excitation. This paper attempts to introduce an approach based on a polynomial mathematical tool conducted from several results of numerical methods (BEM-TLM) so that practicing civil engineers can evaluation the dynamic foundations displacements more easy.
Key Words
    soil-structure interaction; BEM; TLM; dynamic response; nonlinear regression; soil
Badreddine Sbartai: 1.) Department of Civil Engineering, University of Badji Mokhtar-Annaba, BP.25, Annaba 23000, Republic of Algeria
2.) LMGHU, University of 20 Aout 1955-Skikda, B.P.26, Skikda 21000, Republic of Algeria

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