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Earthquakes and Structures Volume 3, Number 3, June-August 2012 , pages 203-230 DOI: https://doi.org/10.12989/eas.2012.3_4.3.203 |
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Dynamic analysis of foundations in a layered half-space using a consistent transmitting boundary |
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Jin Ho Lee, Jae Kwan Kim and John L. Tassoulas
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| Abstract | ||
| This paper presents results for impedance (and compliance) functions and input motions of foundations in a layered half-space computed on the basis of a procedure that combines a consistent transmitting boundary with continued-fraction absorbing boundary conditions which are accurate and effective in modeling wave propagation in various unbounded domains. The effects of obliquely incident seismic waves in a layered half-space are taken into account in the formulation of the transmitting boundary. Using the numerical model, impedance (and compliance) functions and input motions of rigid circular foundations on the surface of or embedded in a homogeneous half-space are computed and compared with available published results for verification of the procedure. Extrapolation methods are proposed to improve the performance in the very-low frequency range and for the static condition. It is concluded from the applications that accurate analysis of foundation dynamics and soil-structure interaction in a layered half-space can be carried out using the enhanced consistent transmitting boundary and the proposed extrapolations. | ||
| Key Words | ||
| foundation dynamics; soil-structure interaction; consistent transmitting boundary; continuedfraction absorbing boundary condition; layered half-space; wave propagation | ||
| Address | ||
| Jin Ho Lee and John L. Tassoulas: Department of Civil, Architectural and Environmental Engineering, the University of Texas at Austin, Austin, Texas, USA; Jae Kwan Kim: Department of Civil and Environmental Engineering, Seoul National University, Seoul, Korea | ||