This article is cited in 1 paper

An indefinite boundary soil–structure interaction mathematical model

Ph. Philipoff^a, V. Tchobanov^b, M. Grammatikopoulos^c, Ph. Mikhaylov<sup>d

a</sup> Central Laboratory of Seismic Mechanics and Seismic, Engineering-Bulgarian Academy of Sciences, Sofia, Bulgaria
^b University of Civil Engineering, Architecture and Geodesy, Civil Engineering Faculty, Department of Structural Mechanics, Sofia, Bulgaria
^c University of Ioannina, Natural Sciences, Ioannina, Greece
^d Transport faculty, Technical University, Sofia, Bulgaria

Abstract: A model of the indefinite boundary soil–structure interaction problem is presented in the paper. The structure is described by finite elements, the soil is described by a partial hyperbolic equation, and the contact between the soil and the structure is described by a matrix integral equation. The structure and soil damping are examined and a theorem for obtaining a structural finite element damping description is demonstrated.

Key words: indefinite wave boundary problems, structural methods, dynamical condensation, structure and soil damping.

MSC: 74L10, 74S30

Received: 10.12.2007
Revised: 09.07.2008

 English version: Numerical Analysis and Applications, 2009, 2:2, 179–186

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