On a hybrid Laplace-time domain approach to dynamic interaction problems

References

• Cottereau , R. , Clouteau , D. , Soize , C. and Cambier , S. 2006 . Probabilistic nonparametric models of impedance matrices. Application to the seismic design of a structure . European Journal of Computational Mechanics , 15 ( 1–3 ) : 131 – 142 .
   Google Scholar
• Darbre , G. and Wolf , J. 1988 . Criterion of stability and implementation issues of hybrid frequency time domain procedure for non-linear dynamic analysis . Earthquake Engineering and Structural Dynamics , 16 ( 4 ) : 569 – 581 .
   Google Scholar
• François, S., & Degrande G. (2005). A time domain coupled boundary element-finite element method for the dynamic response of structures. In J.L. Bento Coelho (Ed.), Proceedings of the 12th International Congress on Sound and Vibration, July 2005, Lisbon, Portugal.
   Google Scholar
• Gaul , L. and Schanz , M. 1999 . A comparative study of three boundary element approaches to calculate the transient response of viscoelastic solids with unbounded domains . Computer Methods in Applied Mechanics and Engineering , 179 : 111 – 123 .
   Google Scholar
• Karpel , M. 1982 . Design for active flutter suppression and gust alleviating using state-space unsteady aeroelastic modelling . Journal of Aircraft , 19 ( 3 ) : 221 – 227 .
   Google Scholar
• Lubich , C. 1988a . Convolution quadrature and discretized operational calculus I . Numerische Mathematik , 52 : 129 – 145 .
   Google Scholar
• Lubich , C. 1988b . Convolution quadrature and discretized operational calculus II . Numerische Mathematik , 52 : 413 – 425 .
   Google Scholar
• Lubich , C. 1994 . On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations . Numerische Mathematik , 67 : 365 – 389 .
   Google Scholar
• Moser , W. , Antes , H. and Beer , G. 2005a . A Duhamel integral based approach to one-dimensional wave propagation analysis in layered media . Computational Mechanics , 35 : 115 – 126 .
   Google Scholar
• Moser , W. , Antes , H. and Beer , G. 2005b . Soil–structure interaction and wave propagation problems in 2D by a Duhamel integral based approach and the convolution quadrature method . Computational Mechanics , 36 : 431 – 443 .
   Google Scholar
• Nieto Ferro, A., Clouteau, D., Greffet, N., & Devésa, G. (2011). Hybrid Laplace-time domain approach for nonlinear dynamic soil–structure interaction problems. In M. Papadrakakis, M. Fragiadakis, & V. Plevris (Eds.), Proceedings of the 3rd ECCOMAS thematic conference on computational methods in structural dynamics and earthquake engineering, May 2011, Corfu, Greece.
   Google Scholar
• Pereira , A. and Beer , G. 2009 . Interface dynamic stiffness matrix approach for three-dimensional transient multi-region boundary element analysis . International Journal for Numerical Methods in Engineering , 80 : 1463 – 1495 .
   Google Scholar
• Schanz , M. and Antes , H. 2006 . Application of ‘Operational Quadrature Methods’ in time domain boundary element methods . Meccanica , 32 : 179 – 186 .
   Google Scholar
• Wolf , J. 1995 . Unit-impulse response matrix of unbounded medium by infinitesimal finite-element cell method . Computer Methods in Applied Mechanics and Engineering , 122 : 251 – 272 .
   Google Scholar
• Wolf , J. 1988 . Soil–structure interaction analysis in the time domain , Englewood Cliffs , NJ : Prentice-Hall .
   Google Scholar