Acknowledgement
This research is supported by the National Natural Science Foundation of China (Grants No. 51968039, 51768036, 51808273), China Postdoctoral Science Foundation (Grant No. 2018M643767), Youth Talent Support Project of China Association for Science and Technology (for Xiyin Zhang), Science and Technology Program of Gansu Province for Distinguished Young Scholars (No. 20JR5RA430), Tianyou Youth Talent Lift Program of Lanzhou Jiaotong University (Xiyin Zhang), and lzjtu (201801) EP support. On behalf of all authors, the corresponding author states that there is no conflict of interest.
References
- Ai, Z. and Jiang, Y. (2020), "Dual integral equation solution of eccentricly loaded rectangular rigid foundation embedded in layered transversely isotropic soils", Comput. Geotech., 126, 1-22. https://doi.org/10.1016/j.compgeo.2020.103755.
- Alampalli, S. and Peddibotla, V. (1997), "Laboratory investigation on Caissons-deformations and vertical load distributions", Soils Found., 37(2), 61-69. https://doi.org/10.3208/sandf.37.2_61.
- Chen, X., Zhang, X., Zhang, Y., Mingbo, D. and Yi, W. (2020), "Hysteretic behaviors of pile foundation for railway bridges in loess", Geomech. Eng., 20(4), 323-331. https://doi.org/10.12989/gae.2020.20.4.323.
- Chiou, J.S., Ko, Y.Y., Hsu, S.Y. and Tsai, Y.C. (2012), "Testing and analysis of a laterally loaded bridge caisson foundation in gravel", Soils Found., 52(3), 562-573. https://doi.org/10.1016/j.sandf.2012.05.013.
- Chowdhury, I., Tarafdar, R., Ghosh, A. and Dasgupta, S.P. (2017), "Dynamic soil structure interaction of bridge piers supported on well foundation", Soil Dyn. Earthq. Eng., 97, 251-265. https://doi.org/10.1016/j.soildyn.2017.03.005.
- Conti, R. (2018), "Simplified formulas for the seismic bearing capacity of shallow strip foundations", Soil Dyn. Earthq. Eng., 104, 64-74. https://doi.org/10.1016/j.soildyn.2017.09.027.
- Conti, R., Laora, R.D., Licata, V., Iovino, M. and Sanctis, L.D. (2020), "Seismic performance of bridge piers: Caisson vs pile foundations", Soil Dyn. Earthq. Eng., 130, 1-15. https://doi.org/10.1016/j.soildyn.2019.105985.
- Derakhshani, A. (2017), "Estimating uplift capacity of suction caissons in soft clay: A hybrid computational approach based on model tree and GP", Ocean Eng., 146, 1-8. https://doi.org/10.1016/j.oceaneng.2017.09.025.
- Gaudio, D. and Rampello, S. (2019), "The influence of soil plasticity on the seismic performance of bridge piers on caisson foundations", Soil Dyn. Earthq. Eng., 118, 120-133. https://doi.org/10.1016/j.soildyn.2018.12.007.
- Gaudio, D. and Rampello, S. (2020), "Equivalent seismic coefficients for caisson foundations supporting bridge piers", Soil Dyn. Earthq. Eng., 129, 1-14. https://doi.org/10.1016/j.soildyn.2019.105955.
- Gaudio, D. and Rampello, S. (2020b), "On the assessment of seismic performance of bridge piers on caisson foundations subjected to strong ground motions", Earthq. Eng. Struct. Dyn., 1-22. https://doi.org/10.1002/eqe.3407.
- GB 50111-2006 (2009), Code for seismic design of railway engineering. Ministry of Housing and Urban-Rural Development, Beijing, China.
- Han, B., Liang, J., Fu, J. and Liu, R. (2019), "3D dynamic soil-structure interaction in layered, fluid-saturated, poroelastic half-space", Soil Dyn. Earthq. Eng., 120, 113-126. https://doi.org/10.1016/j.soildyn.2019.01.027.
- JGJ101-96 (1996), Specificating of testing methods of earthquake resistant building, Ministry of Housing and Urban-Rural Development, Beijing, China.
- Karapiperis, K. and Gerolymos, N. (2014), "Combined loading of caisson foundations in cohesive soil: Finite element versus Winkler modeling", Comput. Geotech., 56, 100-120. https://doi.org/10.1016/j.compgeo.2013.11.006.
- Lai, F., Liu, S., Deng, Y., Sun, Y., Wu, K. and Liu, H. (2020), "Numerical investigations of the installation process of giant deep-buried circular open caissons in undrained clay", Comput. Geotech., 118, 1-17. https://doi.org/10.1016/j.compgeo.2019.103322.
- Li, T. (1997), "Design method of dug well foundation of bridge in loess area", Chin. J. Geotech. Eng., 19(3), 47-54.
- Liang, F., Jia, Y., Sun, L., Xie, W. and Chen, H. (2017), "Seismic response of pile groups supporting long-span cable-stayed bridge subjected to multi-support excitations", Soil Dyn. Earthq. Eng., 101, 182-203. https://doi.org/10.1016/j.soildyn.2017.07.019.
- Lu, J., Chen, X., Ding, M., Zhang, X., Liu, Z. and Yuan, H. (2019), "Experimental and numerical investigation of the seismic performance of railway piers with increasing longitudinal steel in plastic hinge area", Earthq. Struct., 17(6), 545-556. https://doi.org/10.12989/eas.2019.17.6.545.
- Pham, Q.N., Ohtsuka, S., Isobe, K., Fukumoto, Y. and Hoshina, T. (2019), "Ultimate bearing capacity of rigid footing under eccentric vertical load", Soils Found., 59(6), 1980-1991. https://doi.org/10.1016/j.sandf.2019.09.004.
- Senjuntichai, T., Mani, S. and Rajapakse, R.K.N.D. (2006), "Vertical vibration of an embedded rigid foundation in a poroelastic soil", Soil Dyn. Earthq. Eng., 26(6-7), 626-636. https://doi.org/10.1016/j.soildyn.2006.01.013.
- Sethy, B.P., Patra, C.R., Das, B.M. and Sobhan, K. (2020), "Behavior of circular foundation on sand layer of limited thickness subjected to eccentrically inclined load", Soils Found., 60(1), 13-27. https://doi.org/10.1016/j.sandf.2019.12.005.
- Smith-Pardo, J.P., Ortiz, A. and Blandon, C.A. (2014), "Biaxial capacity of rigid footings: Simple closed-form equations and experimental results", Eng. Struct., 69, 149-157. https://doi.org/10.1016/j.engstruct.2014.03.007.
- Sonin, A.A. (2004), "A generalization of the Π-theorem and dimensional analysis", Proc. Nat. Acad. Sci., 101(23), 8525-8526. https://doi.org/10.1073/pnas.0402931101.
- TB 10077-2019 (2019), Code for rock and soil classification of railway Engineering, State Railway Administration, Beijing, China.
- Wang, X., Ye, A. and Ji, B. (2019), "Fragility-based sensitivity analysis on the seismic performance of pile-group-supported bridges in liquefiable ground undergoing scour potentials", Eng. Struct., 198, 1-15. https://doi.org/10.1016/j.engstruct.2019.109427.
- Zafeirakos, A. and Gerolymos, N. (2013), "On the seismic response of under-designed caisson foundations", B. Earthq. Eng., 11(5), 1337-1372. https://doi.org/10.1007/s10518-013-9465-0.
- Zhang, X., Chen, X., Wang Y., Ding, M., Lu, J. and Ma, H. (2020), "Quasi-static test of the precast-concrete pile foundation for railway bridge construction", Adv. Concrete Construct., 10(1), 49-59. https://doi.org/10.12989/acc.2020.10.1.049.
- Zhang, Y., Chen, X., Zhang, X., Ding, M., Wang, Y. and Liu, Z. (2019), "Nonlinear response of the pile group foundation for lateral loads using Pushover analysis", Earthq. Struct., 19(4), 273-286. https://doi.org/10.12989/eas.2020.19.4.273.
- Zheng, C., He, R., Kouretzis, G. and Ding, X. (2019), "Horizontal vibration of a cylindrical rigid foundation embedded in poroelastic half-space", Comput. Geotech., 106, 296-303. https://doi.org/10.1016/j.compgeo.2018.11.009.
- Zheng, L., Sandra, E., Wang, Y. and Panagiotis, K. (2020), "Study on the stiffness degradation and damping of pile foundations under dynamic loadings", Eng. Struct., 203, 1-20. https://doi.org/10.1016/j.engstruct.2019.109850.
- Zhu, G. and Lee, V.W. (2018), "Three-dimensional (3D) soil structure interaction with normal-plane P-wave incidence: Rigid foundation", Soil Dyn. Earthq. Eng., 105, 11-21. https://doi.org/10.1016/j.soildyn.2017.11.016.