Abstract
The objective of this study is to develop a numerical model for rocking shallow foundations supporting shear wall and bridge-pier structures and to validate the numerical model using centrifuge experimental results. OpenSees finite element framework was used to build the numerical model, where a contact interface model (CIM) was used to model the rocking behavior of soil-foundation system, and the structural components were modeled using elastic beam-column elements. The numerical model was first developed using soil properties obtained from theoretical and empirical relationships and validated using the cyclic moment-rotation results of foundations obtained from centrifuge experiments. The numerical model was then used to calculate seismic energy dissipation in soil during rocking, peak rotation of foundation during shaking, and tipping-over stability ratio of rocking systems for the same base accelerations of earthquake motions used in centrifuge experiments. Numerical model predictions for seismic energy dissipation of rocking foundations as a function of arias intensity of the earthquake motion and peak rotation of rocking foundation as a function of peak ground acceleration of the earthquake motion compare reasonably well with the corresponding experimental results (with mean absolute percentage errors of 0.5–0.6). For 24 out of 26 centrifuge experiments considered, the tipping-over stability ratio obtained from both the numerical simulations and experimental results vary between 0.85 and 1.0, demonstrating (i) the excellent stability of rocking systems against tipping-over failure and (ii) the numerical model’s ability to capture the tipping-over stability of rocking systems.
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References
Gajan, S., Kutter, B.L., Phalen, J.D., Hutchinson, T.C., Martin, G.R.: Centrifuge modeling of load-deformation behavior of rocking shallow foundations. Soil Dyn. Earthq. Eng. 25, 773–783 (2005)
Storie, L., Pender, M., Clifton, G., and Wotherspoon, L.: Soil foundation-structure interaction for buildings on shallow foundations in the Christchurch earthquake. In: Proceedings of 10th NCEE, Anchorage, Alaska (2014)
Gajan, S., Kutter, B.L.: Capacity, settlement, and energy dissipation of shallow footings subjected to rocking. J. Geotech. Geoenviron. Eng. ASCE 134(8), 1129–1141 (2008)
Deng, L., Kutter, B.L.: Characterization of rocking shallow foundation using centrifuge model tests. Earthq. Eng. Struct. Dyn. 41(5), 1043–1060 (2012)
Tsatsis, A., Anastasopoulos, I.: Performance of rocking systems on shallow improved sand: shaking table testing. Front. Built Environ. 1(9), 1–19 (2015)
Antonellis, G., Gavras, A.G., Panagiotou, M., Kutter, B.L., Guerrini, G., Sander, A.C., Fox, P.J.: Shake table test of large-scale bridge columns supported on rocking shallow foundations. J. Geotech. Geoenviron. Eng. ASCE 141(5), 04015009 (2015)
Turner, M., Ghayoomi, M., Ueda, K., Uzuoka, R.: Performance of rocking foundations on unsaturated soil layers with variable groundwater levels. Géotechnique (2021)
Raychowdhury, P., Hutchinson, T.C.: Performance evaluation of a nonlinear Winkler-based shallow foundation model using centrifuge test results. Earthq. Eng. Struct. Dyn. 38, 679–698 (2009)
Pelekis, I., McKenna, F., Madabhushi, G.S.P., DeJong, M.J.: Finite element modeling of buildings with structural and foundation rocking on dry sand. Earthq. Eng. Struct. Dyn. 50, 3093–3115 (2021)
Gajan, S., Kutter, B.: A contact interface model for shallow foundation subjected to combined cyclic loading. J. Geotech. Geoenviron. Eng. 135, 407–419 (2009)
Cavalieri, F., Correia, A.A., Crowley, H., Pinho, R.: Dynamic soil-structure interaction models for fragility characterisation of buildings with shallow foundations. Soil Dyn. Earthq. Eng. 132, 106004 (2020)
Zhang, J., Xie, Y., Wu, G.: Seismic responses of bridges with rocking column-foundation: a dimensionless regression analysis. Earthq. Eng. Struct. Dyn. 48, 152–170 (2019)
Gajan, S., Soundararajan, S., Yang, M., Akchurin, D.: Effects of rocking coefficient and critical contact area ratio on the performance of rocking foundations from centrifuge and shake table experimental results. Soil Dyn. Earthq. Eng. 141 (2021)
Gajan, S.: Application of machine learning algorithms to performance prediction of rocking shallow foundations during earthquake loading. Soil Dyn. Earthq. Eng. 151 (2021)
Deng, L., Kutter, B.L., Kunnath, S.K.: Centrifuge modeling of bridge systems designed for rocking foundations. J. Geotech. Geoenviron. Eng. 138(3), 335–344 (2012)
Soundararajan, S.: Seismic Energy Dissipation, Self-centering, and Settlement of Rocking Foundations: Analysis of Experimental Data with Comparisons to Numerical Modeling. MS thesis, North Dakota State University, Department of Civil and Environmental Engineering, USA (2019)
Nandyala, R.K., Jakka, R.S.: Seismic Design of Shallow Foundations: Principles, Design Methodologies and Current Indian Practices. Theory and Practice in Earthquake Engineering and Technology, pp. 99–131 (2022)
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Soundararajan, S., Gajan, S., Raychowdhury, P. (2023). Numerical Simulations and Validation of a Rocking Foundation Model for Seismic Loading. In: Shrikhande, M., Agarwal, P., Kumar, P.C.A. (eds) Proceedings of 17th Symposium on Earthquake Engineering (Vol. 3). SEE 2022. Lecture Notes in Civil Engineering, vol 331. Springer, Singapore. https://doi.org/10.1007/978-981-99-1579-8_28
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