Interface dynamic stiffness matrix approach for three‐dimensional transient multi‐region boundary element analysis |
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Authors: | A Pereira G Beer |
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Affiliation: | 1. Computer Science Department, Pontifical Catholic University of Rio de Janeiro Rua Marques de Sao Vicente 225/TECGRAF, 22453‐900 Rio de Janeiro, Brazil;2. Institute for Structural Analyses, Graz University of Technology, Lessingstra?e 25/II, 8010 Graz, Austria |
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Abstract: | A novel substructuring method is developed for the coupling of boundary element and finite element subdomains in order to model three‐dimensional multi‐region elastodynamic problems in the time domain. The proposed procedure is based on the interface stiffness matrix approach for static multi‐region problems using variational principles together with the concept of Duhamel integrals. Unit impulses are applied at the boundary of each region in order to evaluate the impulse response matrices of the Duhamel (convolution) integrals. Although the method is not restricted to a special discretization technique, the regions are discretized using the boundary element method combined with the convolution quadrature method. This results in a time‐domain methodology with the advantages of performing computations in the Laplace domain, which produces very accurate and stable results as verified on test examples. In addition, the assembly of the boundary element regions and the coupling to finite elements are greatly simplified and more efficient. Finally, practical applications in the area of soil–structure interaction and tunneling problems are shown. Copyright © 2009 John Wiley & Sons, Ltd. |
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Keywords: | transient multi‐region problems Duhamel integrals boundary element method convolution quadrature method finite elements soil– structure interaction |
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