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Non‐linear soil–structure interaction analysis based on the boundary‐element method in time domain with application to embedded foundation
Author(s) -
Wolf John P.,
Darbre Georges R.
Publication year - 1986
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.4290140107
Subject(s) - boundary element method , boundary knot method , mathematics , method of mean weighted residuals , mathematical analysis , time domain , boundary (topology) , singular boundary method , residual , reciprocity (cultural anthropology) , finite element method , soil structure interaction , convolution (computer science) , boundary value problem , computer science , structural engineering , algorithm , engineering , galerkin method , machine learning , artificial neural network , computer vision , psychology , social psychology
The various boundary‐element methods, well established in the frequency domain, are developed in the time domain for a foundation embedded in a layered halfspace. They are the weighted‐residual technique and the indirect boundary‐element method, based on a weighted‐residual equation, and the direct boundary‐element method based on a reciprocity equation, both equations involving time and space. In the indirect approach, formulating the weighted‐residual equation over the last time step only results in the truncated indirect boundary‐element formulation which requires a reduced computational effort. In all cases, convolution integrals occur. The truncated indirect boundary‐element method leads to a highly reliable algorithm, as is verified when a linear analysis in the time domain is compared to the corresponding one in the frequency domain. This boundary‐element formulation, which is non‐local in space and time, represents a rigorous generally applicable method taking into account a layered halfspace in a non‐linear soil‐structure interaction analysis. As an example, the non‐linear soil‐structure interaction analysis of a structure embedded in a halfspace with partial uplift of the basemat and separation of the side wall is investigated.