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Effects of the dynamic cross‐interaction in the seismic analysis of multiple embedded foundations
Author(s) -
Betti R.
Publication year - 1997
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/(sici)1096-9845(199710)26:10<1005::aid-eqe690>3.0.co;2-e
Subject(s) - embedment , substructure , soil structure interaction , discretization , boundary (topology) , viscoelasticity , foundation (evidence) , structural engineering , boundary element method , matrix (chemical analysis) , homogeneous , finite element method , geometry , geology , mathematics , engineering , mathematical analysis , physics , statistical physics , materials science , history , archaeology , composite material , thermodynamics
A boundary element formulation of the substructure deletion method is presented for the seismic analysis of the dynamic cross‐interaction between multiple embedded foundations. This approach is particularly suitable for three‐dimensional foundations of any arbitrary geometrical shape and spatial location, since it requires only the discretization of the foundations’ surfaces. The surrounding soil is represented by a homogeneous viscoelastic half‐space while the foundations are assumed to be rigid and subjected to incoming SH‐, P‐, and SV‐waves arbitrarily inclined in both the horizontal and vertical planes. The proposed methodology is tested for the case of two identical embedded square foundations for different values of the foundations’ embedment and distance. The effects of the cross‐interaction are outlined in the components of the impedance matrix and of the foundation input motion. © 1997 John Wiley & Sons, Ltd.