Consistent transmitting boundary with continued-fraction absorbing boundary conditions for analysis of soil–structure interaction in a layered half-space |
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| Authors: | Jin Ho Lee John L Tassoulas |
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| Affiliation: | 1. Institute of Structural Analysis of Plates and Shells, University of Duisburg-Essen, 45141 Essen, Germany;2. School of Civil and Environmental Engineering, University of New South Wales, Sydney, NSW 2052, Australia;1. University of Cagliari, DICAAR – Department of Civil and Environmental Engineering and Architecture, 2, via Marengo, I-09123 Cagliari, Italy;2. Technische Universität Dresden, Institut Statik und Dynamik der Tragwerke, D-01062 Dresden, Germany |
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| Abstract: | A continued-fraction absorbing boundary condition (CFABC) is combined with a consistent transmitting boundary and applied to an analysis of soil–structure interaction in a layered half-space. In order to be a perfect absorber for in-plane waves with an arbitrary horizontal wavenumber in a layered half-space, it is proposed that the CFABC be used in the form of a 2-layer. A method for determination of parameters of the 2-layers was proposed for evanescent waves as well as propagating waves. Combined with consistent transmitting boundaries, the 2-layers of CFABC are applied to problems of dynamics of rigid strip and circular foundations on a layered half-space. The results demonstrate that the proposed 2-layers of the CFABC can represent a layered half-space accurately in the entire frequency range and absorb both evanescent and propagating P and S waves effectively. |
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