Vertical Vibration Analysis of a Pile Group in Multilayered Poroelastic Soils with Compressible Constituents
Publication: International Journal of Geomechanics
Volume 21, Issue 1
Abstract
This paper will investigate the vertical vibration of a pile group connected to a rigid cap in multilayered poroelastic soils with compressible constituents. Individual piles in the pile group are modeled as one-dimensional bars and discretized into uniform elements based on the finite element method (FEM). Considering the compatibility condition between the pile group and the layered poroelastic soils with compressible constituents, solutions for the dynamic interaction problem will be derived. The resulting numerical solutions agreed closely with the existing solutions. Selected numerical examples will be provided to demonstrate the effects of the pile–soil stiffness ratio, pile spacing, compressibility parameters, and stratified property of the poroelastic soils on the vertical dynamic response of a pile group.
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Acknowledgments
The authors acknowledge funding from the National Natural Science Foundation of China (Grant Nos. 50578121 and 41672275) for financial support.
References
Ai, Z. Y., Y. C. Cheng, and W. Z. Zeng. 2011. “Analytical layer-element solution to axisymmetric consolidation of multilayered soils.” Comput. Geotech. 38 (2): 227–232. https://doi.org/10.1016/j.compgeo.2010.11.011.
Ai, Z. Y., C. L. Liu, L. J. Wang, and L. H. Wang. 2016. “Vertical vibration of a partially embedded pile group in transversely isotropic soils.” Comput. Geotech. 80: 107–114. https://doi.org/10.1016/j.compgeo.2016.06.017.
Ai, Z. Y., and L. H. Wang. 2017a. “Effect of compressible parameters on vertical vibration of an elastic pile in multilayered poroelastic media.” Comput. Geotech. 89: 195–202. https://doi.org/10.1016/j.compgeo.2017.05.002.
Ai, Z. Y., and L. H. Wang. 2017b. “Influences of Biot’s compressible parameters on dynamic response of vertically loaded multilayered poroelastic soils.” Soil Dyn. Earthquake Eng. 94: 7–12. https://doi.org/10.1016/j.soildyn.2016.12.010.
Basack, S., and S. Nimbalkar. 2017. “Numerical solution of single pile subjected to torsional cyclic load.” Int. J. Geomech. 17 (8): 04017016. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000905.
Basack, S., and S. Nimbalkar. 2018. “Measured and predicted response of pile groups in soft clay subjected to cyclic lateral loading.” Int. J. Geomech. 18 (7): 04018073. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001188.
Beskos, D. E. 1997. “Boundary element methods in dynamic analysis: Part ΙΙ (1986–1996).” Appl. Mech. Rev. 50 (3): 149–197. https://doi.org/10.1115/1.3101695.
Biot, M. A. 1956a. “Theory of propagation of elastic waves in a fluid-saturated porous solid, I: Low-frequency range.” J. Acoust. Soc. Am. 28 (2): 168–178. https://doi.org/10.1121/1.1908239.
Biot, M. A. 1956b. “Theory of propagation of elastic waves in a fluid-saturated porous solid, II: Higher-frequency range.” J. Acoust. Soc. Am. 28 (2): 179–191. https://doi.org/10.1121/1.1908241.
Biot, M. A. 1962a. “Mechanics of deformation and acoustic propagation in porous media.” J. Appl. Phys. 33 (4): 1482–1498. https://doi.org/10.1063/1.1728759.
Biot, M. A. 1962b. “Generalized theory of acoustic propagation in porous dissipative media.” J. Appl. Phys. 34 (9A): 1254–1264. https://doi.org/10.1121/1.1918315.
Cairo, R., E. Conte, and G. Dente. 2005a. “Analysis of pile groups under vertical harmonic vibration.” Comput. Geotech. 32 (7): 545–554. https://doi.org/10.1016/j.compgeo.2005.10.001.
Cairo, R., E. Conte, and G. Dente. 2005b. “Interaction factors for the analysis of pile groups in layered soils.” J. Geotech. Geoenviron. Eng. 131 (4): 525–528. https://doi.org/10.1061/(ASCE)1090-0241(2005)131:4(525).
Cui, C., K. Meng, Y. Wu, and D. Chapman. 2018. “Dynamic response of pipe pile embedded in layered visco elastic media with radial inhomogeneity under vertical excitation.” Geomech. Eng 16 (6): 609–618. https://doi.org/10.12989/gae.2018.16.6.609.
Davies, T. G., R. Sen, and P. K. Banerjee. 1985. “Dynamic behavior of pile groups in inhomogeneous soil.” J. Geotech. Eng. 111 (12): 1365–1379. https://doi.org/10.1061/(ASCE)0733-9410(1985)111:12(1365).
Dobry, R., and G. Gazetas. 1988. “Simple method for dynamic stiffness and damping of floating pile groups.” Géotechnique 38 (4): 557–574. https://doi.org/10.1680/geot.1988.38.4.557.
Emani, P. K., and B. K. Maheshwari. 2009. “Dynamic impedances of pile groups with embedded caps in homogeneous elastic soils using CIFECM.” Soil Dyn. Earthquake Eng. 29 (6): 963–973. https://doi.org/10.1016/j.soildyn.2008.11.003.
Fan, K., G. Gazetas, A. M. Kaynia, E. Kausel, and S. Ahmad. 1991. “Kinematic seismic response of single piles and pile groups.” J. Geotech. Eng. 117 (12): 1860–1879. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:12(1860).
Gazetas, G., K. Fan, and A. M. Kaynia. 1993. “Dynamic response of pile groups with different configurations.” Soil Dyn. Earthquake Eng. 12 (4): 239–257. https://doi.org/10.1016/0267-7261(93)90061-U.
Gazetas, G., K. Fan, A. M. Kaynia, and E. Kausel. 1991. “Dynamic interaction factors for floating pile groups.” J. Geotech. Eng. 117 (10): 1531–1548. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:10(1531).
Gazetas, G., and N. Makris. 1991. “Dynamic pile-soil-pile interaction, Part Ι: Analysis of axial vibration.” Earthquake Eng. Struct. Dyn. 20 (2): 115–132. https://doi.org/10.1002/eqe.4290200203.
Kaynia, A. M., and E. Kausel. 1991. “Dynamics of piles and pile groups in layered soil media.” Soil Dyn. Earthquake Eng. 10 (8): 386–401. https://doi.org/10.1016/0267-7261(91)90053-3.
Konagai, K., and T. Nogami. 1987. “Time-domain axial response of dynamically loaded pile groups.” J. Eng. Mech. 113 (3): 417–430. https://doi.org/10.1061/(ASCE)0733-9399(1987)113:3(417).
Ladhane, K. B., and V. A. Sawant. 2016. “Effect of pile group configurations on nonlinear dynamic response.” Int. J. Geomech. 16 (1): 04015013. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000476.
Li, J. H., M. Q. Xu, B. Xu, and M. F. Fu. 2012. “The vibration of pile groups embedded in a layered poroelastic half space subjected to harmonic axial loads by using integral equations method.” Procedia Eng. 28: 8–11. https://doi.org/10.1016/j.proeng.2012.01.675.
Liu, Y., X. Wang, and M. Zhang. 2015. “Lateral vibration of pile groups partially embedded in layered saturated soils.” Int. J. Geomech. 15 (4): 04014063. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000406.
Maeso, O., J. J. Aznárez, and F. García. 2005. “Dynamic impedances of piles and groups of piles in saturated soils.” Comput. Struct. 83 (10–11): 769–782. https://doi.org/10.1016/j.compstruc.2004.10.015.
Maheshwari, B. K., and P. K. Emani. 2015. “Three-dimensional nonlinear seismic analysis of pile groups using FE-CIFECM coupling in a hybrid domain and HISS plasticity model.” Int. J. Geomech. 15 (3): 04014055. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000335.
Mamoon, S. M., A. M. Kaynia, and P. K. Banerjee. 1990. “Frequency domain dynamic analysis of piles and pile groups.” J. Eng. Mech. 116 (10): 2237–2257. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:10(2237).
Millán, M. A., and J. Domínguez. 2009. “Simplified BEM/FEM model for dynamic analysis of structures on piles and pile groups in viscoelastic and poroelastic soils.” Eng. Anal. Boundary Elem. 33 (1): 25–34. https://doi.org/10.1016/j.enganabound.2008.04.003.
Miura, K., A. M. Kaynia, K. Masuda, E. Kitamura, and Y. Seto. 1994. “Dynamic behavior of pile foundations in homogeneous and non-homogeneous media.” Earthquake Eng. Struct. Dyn. 23 (2): 183–192. https://doi.org/10.1002/eqe.4290230206.
Padrón, L. A., J. J. Aznárez, and O. Maeso. 2007. “BEM-FEM coupling model for the dynamic analysis of piles and pile groups.” Eng. Anal. Boundary Elem. 31 (6): 473–484. https://doi.org/10.1016/j.enganabound.2006.11.001.
Padrón, L. A., J. J. Aznárez, and O. Maeso. 2008. “Dynamic analysis of piled foundations in stratified soils by a BEM–FEM model.” Soil Dyn. Earthquake Eng. 28 (5): 333–346. https://doi.org/10.1016/j.soildyn.2007.07.005.
Padrón, L. A., J. J. Aznárez, O. Maeso, and M. Saitoh. 2012. “Impedance functions of end-bearing inclined piles.” Soil Dyn. Earthquake Eng. 38 (5): 97–108. https://doi.org/10.1016/j.soildyn.2012.01.010.
Rajapakse, R. K. N. D., and Y. Wang. 1991. “Elastodynamic Green’s functions of orthotropic half plane.” J. Eng. Mech. 117 (3): 588–604. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:3(588).
Ren, Q., and M. S. Huang. 2010. “Axial vibration of partially embedded pile groups in layered soil.” In GeoShanghai 2010 Int. Conf., Geotechnical Special Publications 201, edited by M. Huang, X. B. Yu, and Y. Huang, 32–37. Reston, VA: ASCE.
Sen, R., T. G. Davies, and P. K. Banerjee. 1985. “Dynamic analysis of piles and pile groups embedded in homogeneous soils.” Earthquake Eng. Struct. Dyn. 13 (1): 53–65. https://doi.org/10.1002/eqe.4290130107.
Shi, L., C. J. Xu, Y. Q. Cai, and X. Y. Geng. 2014. “Dynamic impedances and free-field vibration analysis of pile groups in saturated ground.” J. Sound Vib. 333 (16): 3709–3731. https://doi.org/10.1016/j.jsv.2014.04.016.
Shi, Z., Y. Wen, and Q. Meng. 2017. “Propagation attenuation of plane waves in saturated soil by pile barriers.” Int. J. Geomech. 17 (9): 04017053. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000963.
Wang, J., and Y. F. Gao. 2018. “Vertical impedance of a pile in layered saturated viscoelastic half-space considering radial inhomogeneity.” Soil Dyn. Earthquake Eng. 112: 107–117. https://doi.org/10.1016/j.soildyn.2018.04.036.
Wang, J. H., X. L. Zhou, and J. F. Lu. 2003. “Dynamic response of pile groups embedded in a poroelastic medium.” Soil Dyn. Earthquake Eng. 23 (3): 235–242. https://doi.org/10.1016/S0267-7261(02)00224-5.
Wolf, J. P., and G. A. V. Arx. 1978. “Impedance functions of a group of vertical piles.” In Vol. 1 of Proc., ASCE Geotechnical Engineering Division Specially Conf. on Earthquake Engineering and Soil Dynamics, 1024–1041. Reston, VA: ASCE.
Xu, B., J. F. Lu, and J. H. Wang. 2011. “Dynamic responses of pile groups embedded in a layered poroelastic half-space to harmonic axial loads.” J. Vib. Acoust. 133 (2): 021003. https://doi.org/10.1115/1.4002123.
Zeng, X., and R. K. N. D., Rajapakse. 1999. “Dynamic axial load transfer from elastic bar to poroelastic medium.” J. Eng. Mech.; 125 (9): 1048–1055. https://doi.org/10.1061/(ASCE)0733-9399(1999)125:9(1048).
Zhang, S. P., C. Y. Cui, and G. Yang. 2019. “Vertical dynamic impedance of pile groups partially embedded in multilayered, transversely isotropic, saturated soils.” Soil Dyn. Earthquake Eng. 117: 106–115. https://doi.org/10.1016/j.soildyn.2018.11.003.
Zheng, C. J., X. M. Ding, and Y. F. Sun. 2016. “Vertical vibration of a pipe pile in viscoelastic soil considering the three-dimensional wave effect of soil.” Int. J. Geomech. 16 (1): 04015037. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000529.
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Published In
International Journal of Geomechanics
Volume 21 • Issue 1 • January 2021
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Jun 29, 2019
Accepted: Aug 7, 2020
Published online: Oct 23, 2020
Published in print: Jan 1, 2021
Discussion open until: Mar 23, 2021
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