Abstract
This paper proposes a new simple approach for assessing dynamic soil–structure interaction effects on structures supported by embedded massive foundations. The classical substructure method was revisited by proposing an exact decomposition approach which allows performing the inertial interaction analysis of the superstructure without modeling foundation and soil, which are replaced by properly defined impedances. The proposed approach requires redefinition of simplified formulas for both the dynamic stiffnesses and the kinematic interaction factors, which are referred to the top of the massive foundation. Accurate expressions for the complex impedances were derived based on rigorous finite-element results. The same formulas were used to calibrate a four-spring model for the analysis of the kinematic interaction problem, resulting in different expressions for the kinematic interaction factors depending on the adopted assumptions. The proposed approach, in conjunction with the novel formulas for impedances and kinematic factors, was applied to the case of bridge piers on caisson foundations, and the results were more accurate than those of the existing simplified procedures.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
Part of this research was funded by the Department of Civil Protection through the ReLUIS (University Network of Seismic Engineering Laboratories) Consortium.
References
Avilés, J., and L. E. Pérez-Rocha. 1998. “Effects of foundation embedment during building–soil interaction.” Earthquake Eng. Struct. Dyn. 27 (12): 1523–1540. https://doi.org/10.1002/(SICI)1096-9845(199812)27:12%3C1523::AID-EQE798%3E3.0.CO;2-5.
Bazeos, N., G. D. Hatzigeorgiou, I. D. Hondros, H. Karamaneas, D. L. Karabalis, and D. E. Beskos. 2002. “Static, seismic and stability analyses of a prototype wind turbine steel tower.” Eng. Struct. 24 (8): 1015–1025. https://doi.org/10.1016/S0141-0296(02)00021-4.
Brandenberg, S. J., G. Mylonakis, and J. Stewart. 2015. “Kinematic framework for evaluating seismic earth pressures on retaining walls.” J. Geotech. Geoenviron. Eng. 141 (7): 04015031. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001312.
Conti, R., R. Di Laora, V. Licata, M. Iovino, and L. de Sanctis. 2020. “Seismic performance of bridge piers: Caisson vs pile foundations.” Soil Dyn. Earthquake Eng. 130 (Mar): 105985. https://doi.org/10.1016/j.soildyn.2019.105985.
Conti, R., M. Morigi, E. Rovithis, N. Theodoulidis, and C. Karakostas. 2018. “Filtering action of embedded massive foundations: New analytical expressions and evidence from 2 instrumented buildings.” Earthquake Eng. Struct. Dyn. 47 (5): 1229–1249. https://doi.org/10.1002/eqe.3014.
Conti, R., M. Morigi, and G. M. B. Viggiani. 2017. “Filtering effect induced by rigid massless embedded foundations.” Bull. Earthquake Eng. 15 (3): 1019–1035. https://doi.org/10.1007/s10518-016-9983-7.
Elsabee F., and J. P. Morray. 1977. Dynamic behavior of embedded foundation. Cambridge, MA: Dept. of Civil Engineering, Massachusetts Institute of Technology.
Gaudio, D., and S. Rampello. 2021. “On the assessment of seismic performance of bridge piers on caisson foundations subjected to strong ground motions.” Earthquake Eng. Struct. Dyn. 50 (5): 1429–1450. https://doi.org/10.1002/eqe.3407.
Gazetas, G. 1991. “Formulas and charts for impedances of surface and embedded foundations.” J. Geotech. Eng. 117 (9): 1363–1381. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:9(1363).
Gerolymos, N., and G. Gazetas. 2006a. “Static and dynamic response of massive caisson foundations with soil and interface nonlinearities—validation and results.” Soil Dyn. Earthquake Eng. 26 (5): 377–394. https://doi.org/10.1016/j.soildyn.2005.12.001.
Gerolymos, N., and G. Gazetas. 2006b. “Winkler model for lateral response of rigid caisson foundations in linear soil.” Soil Dyn. Earthquake Eng. 26 (5): 347–361. https://doi.org/10.1016/j.soildyn.2005.12.003.
Huang, M., W. Tu, and X. Gu. 2018. “Time domain nonlinear lateral response of dynamically loaded composite caisson-piles foundations in layered cohesive soils.” Soil Dyn. Earthquake Eng. 106 (Mar): 113–130. https://doi.org/10.1016/j.soildyn.2017.12.015.
Kramer, S. L. 1996. Geotechnical earthquake engineering. Englewood Cliffs, NJ: Prentice-Hall.
Maravas, A., G. Mylonakis, and D. L. Karabalis. 2014. “Simplified discrete systems for dynamic analysis of structures on footings and piles.” Soil Dyn. Earthquake Eng. 61–62 (Jun–Jul): 29–39. https://doi.org/10.1016/j.soildyn.2014.01.016.
Mayoral, J. M., and M. P. Romo. 2015. “Seismic response of bridges with massive foundations.” Soil Dyn. Earthquake Eng. 71 (Apr): 88–99. https://doi.org/10.1016/j.soildyn.2015.01.008.
Mulliken, J. S., and D. L. Karabalis. 1998. “Discrete models for dynamic through-the-soil coupling of 3-D foundations and structures.” Earthquake Eng. Struct. Dyn. 27 (7): 687–710. https://doi.org/10.1002/(SICI)1096-9845(199807)27:7%3C687::AID-EQE752%3E3.0.CO;2-O.
Mylonakis, G., S. Nikolaou, and G. Gazetas. 2006. “Footings under seismic loading: Analysis and design issues with emphasis on bridge foundations.” Soil Dyn. Earthquake Eng. 26 (9): 824–853. https://doi.org/10.1016/j.soildyn.2005.12.005.
Pais, A., and E. Kausel. 1988. “Approximate formulas for dynamic stiffnesses of rigid foundations.” Soil Dyn. Earthquake Eng. 7 (4): 213–227. https://doi.org/10.1016/S0267-7261(88)80005-8.
Scarfone, R., M. Morigi, and R. Conti. 2020. “Assessment of dynamic soil-structure interaction effects for tall buildings: A 3D numerical approach.” Soil Dyn. Earthquake Eng. 128 (Jan): 105864. https://doi.org/10.1016/j.soildyn.2019.105864.
Takewaki, I., N. Takeda, and K. Uetani. 2003. “Fast practical evaluation of soil–structure interaction of embedded structure.” Soil Dyn. Earthquake Eng. 23 (3): 13–20. https://doi.org/10.1016/S0267-7261(02)00225-7.
Tsigginos, C., N. Gerolymos, D. Assimaki, and G. Gazetas. 2008. “Seismic response of bridge pier on rigid caisson foundation in soil stratum.” Earthquake Eng. Eng. Vibr. 7 (1): 33–43. https://doi.org/10.1007/s11803-008-0825-8.
Varun, Assimaki, D., and G. Gazetas. 2009. “A simplified model for lateral response of large diameter caisson foundations—Linear elastic formulation.” Soil Dyn. Earthquake Eng. 29 (2): 268–291. https://doi.org/10.1016/j.soildyn.2008.02.001.
Wang, Y., X. Chen, X. Zhang, M. Ding, J. Lu, and H. Ma. 2021. “Study on lateral behavior of digging well foundation with consideration of soil-foundation interaction.” Geomech. Eng. 24 (1): 15–28. https://doi.org/10.12989/gae.2021.24.1.015.
Wolf, J. P., and D. R. Somaini. 1986. “Approximate dynamic model of embedded foundation in time domain.” Earthquake Eng. Struct. Dyn. 14 (5): 683–703. https://doi.org/10.1002/eqe.4290140502.
Zania, V. 2014. “Natural vibration frequency and damping of slender structures founded on monopoles.” Soil Dyn. Earthquake Eng. 59 (Apr): 8–20. https://doi.org/10.1016/j.soildyn.2014.01.007.
Zhong, R., and M. S. Huang. 2013. “Winkler model for dynamic response of composite caisson-piles foundations: Lateral response.” Soil Dyn. Earthquake Eng. 55 (Dec): 182–194. https://doi.org/10.1016/j.soildyn.2013.09.017.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 148 • Issue 6 • June 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: May 13, 2021
Accepted: Jan 10, 2022
Published online: Mar 17, 2022
Published in print: Jun 1, 2022
Discussion open until: Aug 17, 2022
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