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A three‐dimensional transmitting boundary formulated in Cartesian co‐ordinate system for the dynamics of non‐axisymmetric foundations
Author(s) -
Kim Jae Kwan,
Koh Hyun Moo,
Kwon Ki Jun,
Yi Jang Seok
Publication year - 2000
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 - 10.1002/1096-9845(200010)29:10<1527::aid-eqe978>3.0.co;2-s
Subject(s) - cartesian coordinate system , geometry , boundary (topology) , foundation (evidence) , finite element method , rotational symmetry , boundary value problem , homogeneous , geology , stratum , surface (topology) , plane (geometry) , structural engineering , mathematical analysis , mathematics , engineering , geotechnical engineering , archaeology , combinatorics , history
A three‐dimensional transmitting boundary is formulated in the Cartesian co‐ordinate system. It is developed for the dynamic soil–structure interaction problems of arbitrary shape foundations in laterally heterogeneous strata overlying rigid bedrock. Dynamics of a rectangular rigid surface foundation on a homogeneous stratum is analysed by a hybrid approach in which the finite region including foundation is modelled by the conventional finite element method and the surrounding infinite region by the newly developed transmitting boundary. To demonstrate its strength, the present method is applied to a rectangular foundation in a horizontally heterogeneous ground consisting of two distinct regions divided by and welded along a vertical plane. Copyright © 2000 John Wiley & Sons, Ltd.