Numerical aspects of coupling strongly frequency-dependent soil–foundation models with structural finite elements in the time-domain

Givoli, 2004, High-order local non-reflecting boundary conditions: a review, Wave Motion, 39, 319, 10.1016/j.wavemoti.2003.12.004 Hagstrom, 1999, Radiation boundary conditions for the numerical simulation of waves, Acta Numerica, 8, 47, 10.1017/S0962492900002890 Harari, 2006, A survey of finite element methods for time-harmonic acoustics, Computer Methods in Applied Mechanics and Engineering, 195, 1594, 10.1016/j.cma.2005.05.030 Magoules, 2006, Absorbing boundary conditions, Computer Methods in Applied Mechanics and Engineering, 195, 3551, 10.1016/j.cma.2005.07.002 Magoules, 2005, Special issue on innovative computational methods for wave propagation, Journal of Computational Acoustics, 13, 403, 10.1142/S0218396X05002736 Tsynkov, 1998, Numerical solution of problems on unbounded domains. A review, Applied Numerical Mathematics, 27, 465, 10.1016/S0168-9274(98)00025-7 Geers TL, editor. IUTAM symposium on computational methods for unbounded domains, July 27–31. Boulder, CO: Kluwer Academic Publisher; 1997. Ruge, 2007, A comparison of infinite Timoshenko and Euler–Bernoulli beam models on Winkler foundation in the frequency- and time-domain, Journal of Sound and Vibration, 304, 932, 10.1016/j.jsv.2007.04.001 Ruge, 2001, Time-domain analysis of unbounded media using mixed-variable formulations, Earthquake Engineering and Structural Dynamics, 30, 899, 10.1002/eqe.47 Wolf, 2003 Trinks C. Consistent absorbing boundaries for time-domain interaction analyses using the fractional calculus. PhD thesis, Technische Universität Dresden; 2004. Zulkifli E. Consistent description of radiation damping in transient soil–structure interaction. PhD thesis, Technische Universität Dresden; 2008. Ruge, 2006, Symmetric matrix-valued frequency to time transformation for unbounded domains applied to infinite beams, Computers and Structures, 84, 1815, 10.1016/j.compstruc.2006.04.006 Padrón, 2010, Dynamic stiffness of deep foundations with inclined piles, Earthquake Engineering and Structural Dynamics, 39, 1343 Wilkinson, 1971, vol. II Du, 2010, Stability and identification for rational approximation of frequency response function of unbounded soil, Earthquake Engineering and Structural Dynamics, 39, 165 Saad, 1992 Manna, 2010, Dynamic nonlinear response of pile foundations under vertical vibration—theory versus experiment, Soil Dynamics and Earthquake Engineering, 30, 456, 10.1016/j.soildyn.2010.01.002 Bowles, 1997 Chopra, 1995 Clough, 1975 Chu, 2008 Press, 1992 Den Hartog, 1985 Hüffmann, 2005, Statische und dynamische Berechnung von Turbinenfundamenten aus Stahlbeton, Beton- und Stahlbetonbau, 100, 886, 10.1002/best.200590235 Birk, 2011, An improved continued-fraction-based high-order transmitting boundary for time-domain analyses in unbounded domains, International Journal for Numerical Methods in Engineering Prempramote, 2009, High-order doubly asymptotic open boundaries for scalar wave equation, International Journal for Numerical Methods in Engineering, 79, 340, 10.1002/nme.2562