Authors : B. Sbartai and A. Boumekik
Abstract: This study dynamic interaction between surface rigid foundations in a homogeneous viscoelastic soil limited by a substratum. The vibrations come from masseles rigid foundations placed in soil layer and subjected to harmonic loads of translation, swing and torsion. Required dynamic response of rigid surface foundations constitute the solution of the waves equations obtained by taking account of the conditions of interaction structure-soil-structure.The solution being formulated in terms of boundary integral equation calculated in the discretized field for which the Green�s functions are known for each element. This study allows the establishing of a mathematical model enabling us to determine the impedance (compliance) functions of adjacent foundations according to theirs different distances, the depth of the substratum, the dynamic properties of the soil and the frequency of excitation.
B. Sbartai and A. Boumekik , 2006. 3-D Dynamic Interaction Between Two Rigid Foundations Resting on Layered Soil Parte I: Homogenous Soil. Journal of Engineering and Applied Sciences, 1: 476-482.