Time-Domain Analysis Approaches of Soil-Structure Interaction: A Comparative Study
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32807
Time-Domain Analysis Approaches of Soil-Structure Interaction: A Comparative Study

Authors: Abdelrahman Taha, Niloofar Malekghaini, Hamed Ebrahimian, Ramin Motamed

Abstract:

This paper compares the substructure and direct approaches for soil-structure interaction (SSI) analysis in the time domain. In the substructure approach, the soil domain is replaced by a set of springs and dashpots, also referred to as the impedance function, derived through the study of the behavior of a massless rigid foundation. The impedance function is inherently frequency dependent, i.e., it varies as a function of the frequency content of the structural response. To use the frequency-dependent impedance function for time-domain SSI analysis, the impedance function is approximated at the fundamental frequency of the coupled soil-structure system. To explore the potential limitations of the substructure modeling process, a two-dimensional (2D) reinforced concrete frame structure is modeled and analyzed using the direct and substructure approaches. The results show discrepancy between the simulated responses of the direct and substructure models. It is concluded that the main source of discrepancy is likely attributed to the way the impedance functions are calculated, i.e., assuming a massless rigid foundation without considering the presence of the superstructure. Hence, a refined impedance function, considering the presence of the superstructure, shall alternatively be developed. This refined impedance function is expected to improve the simulation accuracy of the substructure approach.

Keywords: Direct approach, impedance function, massless rigid foundation, soil-structure interaction, substructure approach.

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 387

References:


[1] S. L. Kramer, Geotechnical earthquake engineering. Pearson Education India, 1996.
[2] John P.Wolf, Dynamic Soil-Structure Interaction. Prentice-Hall international series in civil engineering and engineering mechanics. 1985.
[3] NIST, “NIST GCR 12-917-21 Soil-Structure Interaction for Building Structures,” 2012.
[4] G. Mylonakis, S. Nikolaou, and G. Gazetas, “Footings under seismic loading: Analysis and design issues with emphasis on bridge foundations,” Soil Dyn. Earthq. Eng., vol. 26, no. 9, pp. 824–853, 2006.
[5] J. E. Luco and R. A. Westmann, “Dynamic response of a rigid footing bonded to an elastic half space,” 1972.
[6] E. E. Seylabi, C. Jeong, and E. Taciroglu, “On numerical computation of impedance functions for rigid soil-structure interfaces embedded in heterogeneous half-spaces,” Comput. Geotech., vol. 72, pp. 15–27, 2016.
[7] F. McKenna, “OpenSees: a framework for earthquake engineering simulation,” Comput. Sci. Eng., vol. 13, no. 4, pp. 58–66, 2011.
[8] J. P. Stewart, G. L. Fenves, and R. B. Seed, “Seismic soil-structure interaction in buildings. I: Analytical methods,” J. Geotech. Geoenvironmental Eng., vol. 125, no. 1, pp. 26–37, 1999.
[9] J. Lysmer and R. L. Kuhlemeyer, “Finite dynamic model for infinite media,” J. Eng. Mech. Div., vol. 95, no. 4, pp. 859–877, 1969.
[10] A. H. Nielsen, “Absorbing boundary conditions for seismic analysis in ABAQUS,” ABAQUS users’ Conf., pp. 359–376, 2006.
[11] A. Pais and E. Kausel, “Approximate formulas for dynamic stiffnesses of rigid foundations,” Soil Dyn. Earthq. Eng., vol. 7, no. 4, pp. 213–227, 1988, doi: 10.1016/S0267-7261(88)80005-8.
[12] T. Ancheta et al., “PEER NGA-West2 database: A database of ground motions recorded in shallow crustal earthquakes in active tectonic regions,” 2012.
[13] A. K. Chopra, Dynamics of structures. Pearson Education India, 2007.
[14] Y. Wang, V. Murti, and S. Valliappan, “Assessment of the accuracy of the Newmark method in transient analysis of wave propagation problems,” Earthq. Eng. Struct. Dyn., vol. 21, no. 11, pp. 987–1004, 1992.
[15] D. S. Kusanovic, E. Seylabi, and D. Asimaki, “Optimization of frequency domain impedances for time-domain response analyses of building structures with rigid shallow foundations,” Earthq. Spectra, vol. 37, no. 3, pp. 1955–1979, 2021.
[16] D. Kusanovic, E. Seylabi, and D. Asimaki, “System identification of soil-structure interaction mechanisms for building structures,” in SMIP18 seminar on utilization of strong-motion data, 2018, pp. 53–68.