Abstract
An equivalent linear substructure approximation of the soil–foundation–structure interaction is proposed in this paper. Based on the inherent linearity of the approach, the solution of the structural and the soil domain is obtained simultaneously, incorporating the effects of the primary and secondary soil nonlinearities. The proposed approximation is established theoretically and then validated against centrifuge benchmark soil–foundation–structure interaction tests. The equivalent linear substructure approximation is proved to simulate efficiently the effects of the nonlinear soil behavior on the soil–foundation–structure system under a strong earthquake ground motion.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Aubry D, Clouteau D (1992) A subdomain approach to dynamic Soil–structure interaction. In: Recent advances in earthquake engineering and structural dynamics. Ouest Editions/AFPS, Nantes, France, pp 251–272
Bielak J (1975) Dynamic behavior of structures with embedded foundations. Earthq Eng Struct Dynam 3: 259–274. doi:10.1002/eqe.4290030305
Bode C, Hirschauer R, Savidis S (2002) Soil–structure interaction in the time domain using halfspace Green’s functions. Soil Dyn Earthq Eng 22(4): 283–295. doi:10.1016/S0267-7261(02)00020-9
Boore D, Stephens C, Joyner W (2002) Comments on baseline correction of digital strongmotion data: examples from the 1999 hector mine, california, earthquake. Bull Seismol Soc Am 92(4): 1543–1560. doi:10.1785/0120000926
Brennan A, Madabhushi S (2002) Design and performance of a new deep model container for dynamic centrifuge testing. In: Proceedings of the international conference on physical modelling in geotechnics, Balkema, Rotterdam, The Netherlands, St Johns NF, Canada, pp 183–188
Chopra A (2001) Dynamics of structures. Prentice Hall Inc, Upper Saddle River
Clouteau D (2005) MISS 6.4: manuel utilisateur: version 2.3. Chatenay-Malabry, France
Clouteau D, Aubry D (2003) Computational soil–structure interaction. In: Boundary element methods for soil–structure interaction, Kluwer Academic Publishers, chap. 2, pp 61–126
Gazetas G (1983) Analysis of machine foundation vibrations: state of the art. Soil Dyn Earthq Eng 2(1): 2–42. doi:10.1016/0261-7277(83)90025-6
Gazetas G (1991) Formulas and charts for impedances of surface and embedded foundations. J Geotech Eng Div 117(9): 1363–1381. doi:10.1061/(ASCE)0733-9410(1991)117:9(1363)
Ghosh B, Madabhushi S (2007) Centrifuge modelling of seismic soil structure interaction effects. Nucl Eng Des 237(8): 887–896. doi:10.1016/j.nucengdes.2006.09.027
Halabian A, Naggar MHE (2002) Effect of non-linear soil-structure interaction on seismic response of tall slender structures. Soil Dyn Earthq Eng 22: 639–658. doi:10.1016/S0267-7261(02)00061-1
Karabalis D (2004) Non-singular time domain BEM with applications to 3D inertial soil– structure interaction. Soil Dyn Earthq Eng 24(3): 281–293. doi:10.1016/j.soildyn.2003.10.002
Kausel E, Roesset J, Christian J (1976) Nonlinear behavior in soil-structure interaction. J Geotech Eng Div 102(GT12): 1159–1178
Kokusho T (1980) Cyclic triaxial test of dynamic soil properties for wide strain range. Soil Found 20(4): 45–60
Madabhushi S, Schofield A, Lesley S (1998) A new stored angular momentum based earthquake actuator. In: Proceedings of centrifuge ’98, Tokyo, pp 111–116
Mylonakis G, Nikolaou S, Gazetas G (2006) Footings under seismic loading: analysis and design issues with emphasis on bridge foundations. Soil Dyn Earthq Eng 26(9): 824–853. doi:10.1016/j.soildyn.2005.12.005
Pitilakis D (2006) Soil–structure interaction modeling using equivalent linear soil behavior in the substructure method. Ph.D. thesis, LMSS-Mat, Ecole Centrale Paris, France
Pitilakis D, Dietz M, Wood DM, Clouteau D, Modaressi A (2008) Numerical simulation of dynamic soil-structure interaction in shaking table testing. Soil Dyn Earthq Eng 28(6): 453–467. doi:10.1016/j.soildyn.2007.07.011
Roesset JM, Tassoulas JL (1982) Non linear soil-structure interaction: an overview. In: Datta SK (ed). Earthquake ground motion and its effects on structures, vol 53. ASME, AMD, Newyork, 59–76
Schofield A (1980) Cambridge geotechnical centrifuge operations. Twentieth rankine lecture. Geotechnique 30(3): 227–268
Schofield A (1981) Dynamics and earthquake geotechnical centrifuge modelling. In: Proceedings of the international conference on recent advances in geotechnical earthquake engineering and soil dynamics, University of Missouri-Rolla, Rolla, Missouri 3:1081–1100
Seed H, Wong R, Idriss I, Tokimatsu K (1986) Moduli and damping factors for dynamic analyses of cohesionless soil. J Geotech Eng 112(11): 1016–1032. doi:10.1061/(ASCE)0733-9410(1986)112:11(1016)
Stewart J, Fenves G, Seed R (1999) Seismic soil–structure interaction in buildings i: analytical methods. J Geotech Geoenviron Eng 125(1): 26–37. doi:10.1061/(ASCE)1090-0241(1999)125:1(26)
Veletsos A, Meek J (1974) Dynamic behavior of building-foundation systems. Earthq Eng Struct Dynam 3: 121–138. doi:10.1002/eqe.4290030203
Veletsos A, Verbic B (1973) Vibration of viscoelastic foundations. Earthq Eng Struct Dynam 2: 87–102. doi:10.1002/eqe.4290020108
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Pitilakis, D., Clouteau, D. Equivalent linear substructure approximation of soil–foundation–structure interaction: model presentation and validation. Bull Earthquake Eng 8, 257–282 (2010). https://doi.org/10.1007/s10518-009-9128-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10518-009-9128-3