Technical Papers
Mar 29, 2018

Analysis of Characteristic Frequencies of Coupled Soil-Pile-Structure Systems

Publication: International Journal of Geomechanics
Volume 18, Issue 6

Abstract

A combination of the multiple-shear-spring soil model and a rigorous soil-pile interaction spring was implemented through a finite-element computer code to ascertain characteristic frequencies dominating the nonlinear seismic response of soil-pile-structure (SPS) systems. Different piles, represented by their rigidities, are assumed to be embedded in homogeneous or inhomogeneous soil profiles and to support single degree-of-freedom (SDOF) structures, which are each represented by the natural frequency of the structure on a rigid base. The results indicate that the pile-head motion was dominated by two sequential frequencies: the fundamental frequency of the coupled SPS system, fSSI, at which the pile motion was noticeably magnified, and the pseudonatural frequency, fpSSI, at which the response was significantly reduced in reference to that of the free field. These results confirmed those observed in a geotechnical centrifuge using actual and simulated ground motion. In addition, strong soil-structure interaction (SSI), manifested by a considerable reduction in fSSI of the coupled SPS system, had been noticed for systems consisting of rigid structures supported by flexible piles. The nonlinearity and inhomogeneity of the ground induced further reduction in fSSI, indicating the strong need to revisit the current interaction methodologies that had been based on linear elastic SSI. However, the fpSSI did not show considerable variation with excitation amplitude.

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References

Allotey, N., and El Naggar, M. H. (2008). “Generalized dynamic Winkler model for nonlinear soil–structure interaction analysis.” Can. Geotech. J., 45(4), 560–573.
Anoyatis, G., Di Laora, R., Mandolini, A., and Mylonakis, G. (2013). “Kinematic response of single piles for different boundary conditions: Analytical solutions and normalization schemes.” Soil Dyn. Earthquake Eng., 44, 183–195.
ATC (Applied Technology Council). (1978). Tentative provisions for the development of seismic regulations of buildings: A cooperative effort with the design profession, building code interests and the research community. National Bureau of Standards, Washington, DC.
Baffet, D., Bielak, J., Givoli, D., Hagstrom, T., and Rabinovich, D. (2012). “Long-time stable high-order absorbing boundary conditions for elastodynamics.” Comput. Methods. Appl. Mech. Eng., 241–244, 20–37.
Basu, U., and Chopra, A. K. (2003). “Perfectly matched layers for time-harmonic elastodynamics of unbounded domains: Theory and finite-element implementation.” Comput. Methods Appl. Mech. Eng., 192, 1337–1375.
Bécache, E., Joly, P., and Tsogka, C. (2001). “Fictitious domains, mixed finite elements and perfectly matched layers for 2D elastic wave propagation.” J. Comput. Acoust., 9(3), 1175–1202.
Boulanger, R. W., Curras, C. J., Kutter, B. L., Wilson, D. W., and Abghari, A. (1999). “Seismic soil-pile-structure interaction experiments and analyses.” J. Geotech. Geoenviron. Eng., 750–759.
Christoffersen, J., Mehrabadi, M. M., and Nemat-Nasser, S. (1981). “A micromechanical description of granular material behavior.” J. Appl. Mech., 48(2), 339–344.
Collino, F., and Tsogka, C. (2001). “Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media.” Geophysics, 66(1), 294–307.
Curras, C. J., Boulanger, R. W., Kutter, B. L., and Wilson, D. W. (2001). “Dynamic experiments and analyses of a pile-group-supported structure.” J. Geotech. Geoenviron. Eng., 585–596.
Dezi, F., Dall'Asta, A., Leoni, G., and Scarpelli, G. (2007). “Influence of the soil-structure interaction on seismic response of railway bridge.” Proc., 4th Int. Conf., Earthquake Engineering, K. D. Pitilakis, ed., Springer, London.
Di Laora, R., and de Sanctis, L. (2013). “Piles-induced filtering effect on the foundation input motion.” Soil Dyn. Earthquake Eng., 46(3), 52–63.
Di Laora, R., Mandolini, A., and Mylonakis, G. (2012). “Insight on kinematic bending of flexible piles in layered soil.” Soil Dyn. Earthquake Eng., 43, 309–322.
Dobry, R., Oweis, I., and Urzua, A. (1976). “Simplified procedures for estimating the fundamental period of a soil profile.” Bull. Seismolog. Soc. Am., 66(4), 1293–1321.
Dobry, R., Vicenti, E., O’Rourke, M. J., and Roesset, J. M. (1982). “Horizontal stiffness and damping of single piles.” J. Geotech. Eng. Div., 108(3), 439–459.
Durante, M. G., Di Sarno, L., Mylonakis, G., Taylor, C. A., and Simonelli, A. L. (2016). “Soil–pile–structure interaction: Experimental outcomes from shaking table tests.” Earthquake Eng. Struct. Dyn., 45(7), 1041–1061.
Enquist, B., and Majda, A. (1977). “Absorbing boundary conditions for the numerical simulation of waves.” Math. Comput., 31(139), 629–665.
Finn, W. D. L. (2005). “A study of piles during earthquakes: Issues of design and analysis.” Bull. Earthquake Eng., 3(2).
Gazetas, G. (1984). “Seismic response of end-bearing single piles.” Soil Dyn. Earthquake Eng., 3(2), 82–93.
Gazetas, G., and Mylonakis, G. (1998). “Seismic soil-structure interaction: New evidence and emerging issues.” Geotechnical earthquake engineering and soil dynamics, Geotechnical special publication 75, P. Dakoulas, M. Yegian, and R. D. Holtz, eds., Vol. 2, ASCE, Reston, VA, 1119–1174.
Guin, J., and Banerjee, P. K. (1998). “Coupled soil-pile-structure interaction analysis under seismic excitation.” J. Struct. Eng., 434–444.
Hardin, B. O., and Drnevich, V. P. (1972). “Shear modulus and damping of soils: Design equation and curves.” J Soil Mech. Found. Div., 98(7), 667–692.
Hilber, H. M., and Hughes, T. J. R. (1978). “Collection, dissipation and [overshoot] for time integration schemes in structural dynamics.” Earthquake Eng. Struct. Dyn., 6(1), 99–117.
Hughes, T. J. R. (2000). The finite element method: Linear static and dynamic finite element analysis, Dover, Mineola, NY.
Hussien, M. N., Karray, M., Tobita, T., and Iai, S. (2015). “Kinematic and inertial forces in pile foundations under seismic loading.” Comput. Geotech., 69, 166–181.
Hussien, M. N., Tobita, T., and Iai, S. (2011). “Seismic analysis of coupled soil-pile-structure interaction using finite elements.” Proc., 8th Int. Conf., Urban Earthquake Engineering (8CUEE), Center for Urban Earthquake Engineering, Tokyo Institute of Technology, Tokyo, 495–499.
Hussien, M. N., Tobita, T., Iai, S., and Karray, M. (2014). “On the influence of vertical loads on the lateral response of pile foundation.” Comput. Geotech., 55, 392–403.
Hussien, M. N., Tobita, T., Iai, S., and Karray, M. (2016). “Soil-pile-structure kinematic and inertial interaction observed in geotechnical centrifuge experiments.” Soil Dyn. Earthquake Eng., 89, 75–84.
Hussien, M. N., Tobita, T., Iai, S., and Rollins, K. M. (2010). “Soil–pile separation effect on the performance of a pile group under static and dynamic lateral loads.” Can. Geotech. J., 47(11), 1234–1246.
Hussien, M. N., Tobita, T., Iai, S., and Rollins, K. M. (2012). “Vertical loads effect on the lateral pile group resistance in sand.” Geomech. Geoeng., 7(4), 263–282.
Iai, S., Matsunaga, Y., and Kameoka, T. (1990). “Parameter identification for a cyclic mobility model.” Rep. Port Harbour Res. Inst., 29(4), 57–83.
Iai, S., Matsunaga, Y., and Kameoka, T. (1992). “Strain space plasticity model for cyclic mobility.” Soils Found., 32(2), 1–15.
Iai, S., Tobita, T., Hussien, M. N., Rollins, K. M., and Ozutsumi, O. (2010). “Soil-pile interaction under lateral load.” Soil-foundation-structure interaction, SFSI 09, R. P. Orense, N. Chouw, and M. J. Pender, eds., CRC, Boca Raton, FL, 101–108.
Iai, S., Tobita, T., Ozutsumi, O., and Ueda, K. (2011). “Dilatancy of granular materials in a strain space multiple mechanism model.” Int. J. Numer. Anal. Methods Geomech., 35(3), 360–392.
Ishihara, K., Yoshida, N., and Tsujino, S. (1985). “Modelling of stress–strain relations of soils in cyclic loading.” Proc., 5th Int. Conf., Numerical Methods in Geomechanics, Vol. 1, CRC, Boca Raton, FL, 373–380.
Kawamura, S., Umemura, H., and Osawa, Y. (1977). “Earthquake motion measurement of a pile-supported building on reclaimed ground.” Proc., 6th World Conf., Earthquake Engineering, Meerut Sarita Prakashan, New Delhi, India, 103–108.
Kim, S., and Stewart, J. P. (2003). “Kinematic soil-structure interaction from strong motion recordings.” J. Geotech. Geoenviron. Eng., 323–335.
Maheshwari, B. K., Truman, K. Z., Gould, P. L., and El Naggar, M. H. (2005). “Three-dimensional nonlinear seismic analysis of single piles using finite element model: Effects of plasticity of soil.” Int. J. Geomech., 35–44.
Makris, N., Gazetas, G., and Delis, E. (1996). “Dynamic soil-pile-foundation-structure interaction: Records and predictions.” Géotechnique, 46(1), 33–50.
Matthees, W., and Magiera, G. (1982). “Sensitivity study of seismic structure-soil-structure interaction problems for nuclear power plants.” Nuclear Eng. Des., 73(3), 343–363.
Maugeri, M., and Castelli, F. (2015). “Post-earthquake analysis for a seismic retrofitting: The case history of a piled foundation in Augusta (Italy).” Perspectives on earthquake geotechnical engineering. Geotechnical, geological and earthquake engineering, A. Ansal and M. Sakr, eds., Vol. 37, Springer, Cham, Switzerland, 415–441.
Mizuno, H. (1987). “Pile damage during earthquake in Japan (1923–1931).” Dynamic response of pile foundations, Geotechnical special publication 11, T. Nogami, ed., ASCE, New York.
Mylonakis, G., Nikolaou, A., and Gazetas, G. (1997). “Soil-pile-bridge seismic interaction: Kinematic and inertial effects. Part I: Soft soil.” Earthquake Eng. Struct. Dyn., 26(3), 337–359.
Nikolaou, S., Mylonakis, G., Gazetas, G., and Tazoh, T. (2001). “Kinematic pile bending during earthquakes: Analysis and field measurements.” Géotechnique, 51(5), 425–440.
Ohta, T., Uchiyama, S., Niwa, M., and Ueno, K. (1980). “Earthquake response characteristics of structure with pile foundation on soft subsoil layer and its simulation analysis.” Proc., 7th World Conf., Earthquake Engineering, Vol. 3, International Association for Earthquake Engineering, 401–410.
Ozutsumi, O., and Iai, S. (2001). “Adjustment method of the hysteresis damping for multiple shear spring model.” Proc., 4th Int. Conf., Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics, Civil, Architectural and Environmental Engineering, Univ. of Missouri–Rolla, Rolla, MO.
Ozutsumi, O., Tamari, Y., Oka, Y., Ichii, K., Iai, S., and Umeki, Y. (2003). “Modeling of soil-pile interaction subjected to soil liquefaction in plane strain analysis.” Proc., 38th Japan National Conf., Geotechnical Engineering, Japanese Geotechnical Society, Akita, Japan, 1899–1900. (In Japanese).
Padrón, L. A., Aznárez, J. J., and Maeso, O. (2007). “BEM-FEM coupling model for the dynamic analysis of piles and pile groups.” Eng. Anal. Boundary Elem., 31(6), 473–484.
Rajagopal, P., Drozdz, M., Skelton, E. A., Lowe, M. J. S., and Craster, R. V. (2012). “On the use of the absorbing layers to simulate the propagation of elastic waves in unbounded isotropic media using commercially available finite Element packages.” NDT&E Int., 51, 30–40.
Régnier, J., Cadet, H., Bonilla, L. F., Bertrand, E., and Semblat, J.-F. (2013). “Assessing nonlinear behavior of soils in seismic site response: Statistical analysis on KiK-net strong-motion data.” Bull. Seismolog. Soc. Am., 103(3), 1750–1770.
Roesset, J. M., Whitman, R. V., and Dobry, R. (1973). “Modal analysis for structures with foundation interaction.” J. Struct. Div., 99(3), 399–416.
Rovithis, E. N., Pitilakis, K. D., and Mylonakis, G. E. (2009). “Seismic analysis of coupled soil-pile-structure systems leading to the definition of a pseudo-natural SSI frequency.” Soil Dyn. Earthquake Eng., 29(6), 1005–1015.
Rovithis, E. N., Pitilakis, K. D., and Mylonakis, G. E. (2011). “A note on a pseudo-natural SSI frequency for coupled soil–pile–structure systems.” Soil Dyn. Earthquake Eng., 31(7), 873–878.
Semblat, J.-F., Lenti, L., and Gandomzadeh, A. (2011). “A simple multi-directional absorbing layer method to simulate elastic wave propagation in unbounded domains.” Int. J. Numer. Methods Eng., 85(12), 1543–1563.
Taciroglu, E., Rha, C., and Wallace, J. W. (2006). “A robust macroelement model for soil-pile interaction under cyclic loads.” J. Geotech. Geoenviron. Eng., 1304–1314.
Tajimi, H. (1977). “Seismic effects on piles. State-of-the-art-report special session.” Proc., 9th Int. Conf., Soil Mechanics, Japanese Society of Soil Mechanics and Foundation Engineering, Tokyo, 1–12.
Veletsos, A. S., and Meek, J. W. (1974). “Dynamic behavior of building-foundation systems.” Earthquake Eng. Struct. Dyn., 3(2), 121–138.
Wilson, E. L. (1968). A computer program for the dynamic stress analysis of underground structures. Report prepared for the Army Corps of Engineers, Structural Engineering Laboratory, University of California, Berkeley, CA.
Wolf, J. P., and Somaini, D. R. (1986). “Approximate dynamic model of embedded foundation in time domain.” Earthquake Eng. Struct. Dyn, 14(5), 683–703.
Zafati, E., Brun, M., Djeran-Maigre, I., and Prunier, F. (2016). “Design of an efficient multi-directional explicit/implicit Rayleigh absorbing layer for seismic wave propagation in unbounded domain using a strong form formulation.” Int. J. Numer. Methods Eng., 106(2), 83–112.
Zienkiewicz, O. C., Bicanic, N., and Shen, F. Q. (1989). “Earthquake input definition and the transmitting boundary conditions.” Proc., Advances in Computational Nonlinear Mechanics, I. S. Doltsinis, ed., Spring, Vienna, Austria, 109–138.

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International Journal of Geomechanics
Volume 18Issue 6June 2018

History

Received: Mar 27, 2017
Accepted: Nov 14, 2017
Published online: Mar 29, 2018
Published in print: Jun 1, 2018
Discussion open until: Aug 29, 2018

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Mahmoud N. Hussien [email protected]
Researcher, Dept. of Civil Engineering, Faculty of Engineering, Sherbrooke Univ., Sherbrooke, QC, Canada J1K 2R1; Assistant Professor, Department of Civil Engineering, Faculty of Engineering, Assiut University, Assiut, Egypt (corresponding author). E-mail: [email protected]; [email protected]
President, General Incorporated Association FLIP Consortium, Nakagyo-ku, Kyoto, 604-0844, Japan; Former Professor, Disaster Prevention Research Institute, Kyoto University, Gokasho, Uji 611-0011 Japan. E-mail: [email protected]
Mourad Karray [email protected]
Professor, Dept. of Civil Engineering, Sherbrooke Univ., Sherbrooke, QC, Canada J1K 2R1. E-mail: [email protected]

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