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Dynamic response of 3‐D rigid surface foundations by time domain boundary element method
Author(s) -
Karabalis D. L.,
Beskos D. E.
Publication year - 1984
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/eqe.4290120106
Subject(s) - time domain , boundary element method , isotropy , boundary (topology) , spacetime , transient (computer programming) , mathematical analysis , surface (topology) , half space , transient response , element (criminal law) , basis (linear algebra) , domain (mathematical analysis) , mathematics , space time , finite element method , geometry , structural engineering , computer science , engineering , physics , electrical engineering , quantum mechanics , law , political science , computer vision , operating system , chemical engineering
The dynamic response of three‐dimensional rigid surface foundations of arbitrary shape is numerically obtained. The foundations are placed on a linear elastic, isotropic and homogeneous half‐space representing the soil medium and are subjected to either external dynamic forces or seismic waves of various kinds and directions, with a general transient time variation. The problem is formulated in the time domain by the boundary element method and the response is obtained by a time step‐by‐step integration. Two examples dealing with three‐dimensional rectangular foundations are presented in detail, together with comparisons with other methods, in order to document the accuracy of the method. The main advantages of the proposed method are that, unlike frequency domain techniques, it provides directly the transient response and forms the basis for extension to the case of non‐linear behaviour.