Volume 29, Issue 10 pp. 1527-1546
Research Article

A three-dimensional transmitting boundary formulated in Cartesian co-ordinate system for the dynamics of non-axisymmetric foundations

Jae Kwan Kim

Corresponding Author

Jae Kwan Kim

Department of Civil Engineering, Seoul National University, Kwanak-ku, Seoul 151-742, Korea

Department of Civil Engineering, Seoul National University, Kwanak-ku, Seoul 151-742, KoreaSearch for more papers by this author
Hyun Moo Koh

Hyun Moo Koh

Department of Civil Engineering, Seoul National University, Kwanak-ku, Seoul 151-742, Korea

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Ki Jun Kwon

Ki Jun Kwon

Department of Safety Engineering, Hankyong National University, Ansung-si, Kyonggi-do 456-749, Korea

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Jang Seok Yi

Jang Seok Yi

Department of Civil Engineering, Seoul National University, Kwanak-ku, Seoul 151-742, Korea

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Abstract

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.

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