DOI QR코드

DOI QR Code

Dynamic impedance of a floating pile embedded in poro-visco-elastic soils subjected to vertical harmonic loads

  • Cui, Chunyi (Department of Civil Engineering, Dalian Maritime University) ;
  • Zhang, Shiping (Department of Civil Engineering, Dalian Maritime University) ;
  • Chapman, David (School of Engineering, University of Birmingham) ;
  • Meng, Kun (Department of Civil Engineering, Dalian Maritime University)
  • Received : 2017.07.29
  • Accepted : 2017.12.23
  • Published : 2018.06.10

Abstract

Based on the theory of porous media, an interaction system of a floating pile and a saturated soil in cylindrical coordinates subjected to vertical harmonic load is presented in this paper. The surrounding soil is separated into two distinct layers. The upper soil layer above the level of pile base is described as a saturated viscoelastic medium and the lower soil layer is idealized as equivalent spring-dashpot elements with complex stiffness. Considering the cylindrically symmetry and the pile-soil compatibility condition of the interaction system, a frequency-domain analytical solution for dynamic impedance of the floating pile embedded in saturated viscoelastic soil is also derived, and reduced to verify it with existing solutions. An extensive parametric analysis has been conducted to reveal the effects of the impedance of the lower soil base, the interaction coefficient and the damping coefficient of the saturated viscoelastic soil layer on the vertical vibration of the pile-soil interaction system. It is shown that the vertical dynamic impedance of the floating pile significantly depends on the real stiffness of the impedance of the lower soil base, but is less sensitive to its dynamic damping variation; the behavior of the pile in poro-visco-elastic soils is totally different with that in single-phase elastic soils due to the existence of pore liquid; the effect of the interaction coefficient of solid and liquid on the pile-soil system is limited.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China, Liaoning Provincial Natural Science Foundation of China, Central Universities

References

  1. Barari, A., Bayat, M., Saadati, M., Ibsen, L.B. and Vabbersgaard, L.A. (2015), "Transient analysis of monopile foundations partially embedded in liquefied soil", Geomech. Eng., 8(2), 257-282. https://doi.org/10.12989/gae.2015.8.2.257
  2. Anoyatis, G. and Mylonakis, G. (2012), "Dynamic Winkler modulus for axially loaded piles", Geotechnique, 62(6), 521-536. https://doi.org/10.1680/geot.11.P.052
  3. Baranov, V.A. (1967), "On the calculation of excited vibrations of an embedded foundation", Vopr. Dyn. Prochn., 14(5), 195-207 (in Russian).
  4. Bose, S.K. and Haldar, S.S. (1985), "Soil impedance in vertical vibration of a floating pile", J. Soil. Dyn. Earthq. Eng., 4(12), 224-228.
  5. Bowen, R.M. (1980), "Incompressible porous media models by use of the theory of mixtures", J. Eng. Sci., 18(9), 1129-1148. https://doi.org/10.1016/0020-7225(80)90114-7
  6. Cai, Y.Q. and Hu, X.Q. (2010), "Vertical vibrations of a rigid foundation embedded in a poroelastic half-space", J. Eng. Mech., 136(3), 390-398. https://doi.org/10.1061/(ASCE)0733-9399(2010)136:3(390)
  7. Cui, C.Y., Zhang, S.P., Yang, G. and Li. X.F. (2016), "Vertical vibration of a floating pile in a saturated viscoelastic soil layer overlaying bedrock", J. Central. South Univ., 23(1), 220-232. https://doi.org/10.1007/s11771-016-3065-5
  8. De Boer, R. and Liu, Z.F. (1994), "Plane waves in a semi-infinite fluid saturated porous medium", Transport. Porous. Med., 16(2), 147-173. https://doi.org/10.1007/BF00617549
  9. De Boer, R. and Liu, Z.F. (1996), "Growth and decay of acceleration waves in incompressible saturated porous elastic solids", J. Appl. Math. Mech., 76(6), 341-347.
  10. De Boer, R. and Ehlers, W. (1990), "Uplift friction and capillarity-three fundamental effects for liquid-saturated porous solids", J. Solid. Struct., 26(1), 43-57. https://doi.org/10.1016/0020-7683(90)90093-B
  11. De Boer, R. and Liu, Z.F. (1996), "Propagation of acceleration waves in incompressible liquid-saturated porous solids", Transport. Porous. Med., 21(2), 163-173.
  12. De Boer, R. (1996), "Highlights in the historical development of the porous media theory: Toward a consistent macroscopic theory", Appl. Mech. Rev., 49(4), 201-262. https://doi.org/10.1115/1.3101926
  13. Ding, X., Liu, H., Kong, G. and Zheng, C. (2014), "Time-domain analysis of velocity waves in a pipe pile due to a transient point load", Comput. Geotech., 58(5), 101-116. https://doi.org/10.1016/j.compgeo.2014.02.004
  14. Dobry, R. and Gazetas, G. (1988), "Simple method for dynamic stiffness and damping of floating pile groups", Geotechnique, 38(12), 557-574. https://doi.org/10.1680/geot.1988.38.4.557
  15. Edelman, I. and Wilmanski, K. (2002), "Asymptotic analysis of surface waves at vacuum/porous medium and liquid/porous medium interfaces", Continuum. Mech. Thermodyn., 14(1), 25-44. https://doi.org/10.1007/s001610100069
  16. Heider, Y., Markert, B. and Ehlers, W. (2012), "Dynamic wave propagation in infinite saturated porous media half spaces", Comput. Mech., 49(3), 319-336. https://doi.org/10.1007/s00466-011-0647-9
  17. Hu, C.B. (2003), Study on Soil-Pile Interaction in Longitudinal Vibration Considering Vertical Wave Effect of Soil, Zhejiang University, Hangzhou, China (in Chinese).
  18. Kumar, R. and Hundal, B.S. (2005), "Symmetric wave propagation in a fluid-saturated incompressible porous medium", J. Sound Vib., 288(1-2), 361-373. https://doi.org/10.1016/j.jsv.2004.08.046
  19. Liu, H., Zheng, C., Ding, X. and Qin, H. (2014), "Vertical dynamic response of a pipe pile in saturated soil layer", Comput. Geotech., 61(3), 57-66. https://doi.org/10.1016/j.compgeo.2014.04.006
  20. Liu, L.C. and Yang, X. (2009), "Study of vertical coupled vibrations of piles in saturated soils using porous medium theory", Chin. Civ. Eng. J., 42(9), 89-95 (in Chinese).
  21. Liu, Z.F., Li, D.Y. and Yan, B. (1999), "Inhomogeneous plane waves in a saturated porous medium", Rock Soil Mech., 20(4), 31-35.
  22. Lysmer, J. and Richart, F.E. (1966), "Dynamic response of footing to vertical load", J. Soil. Mech. Found. Div., 2(1), 65-91.
  23. Manna, B. and Baidya, D.K. (2009), "Vertical vibration of full-scale pile-analytical and experimental study", J. Geotech. Geoenviron. Eng., 135(10), 1452-1461. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000110
  24. Novak, M. and Beredugo, Y. (1972), "Vertical vibration of embedded footings", J. Soil. Mech. Found. Div., 98(12), 1291-1310.
  25. Novak, M., Nogami, T. and Aboul-Ella, F. (1978), "Dynamic soil reactions for plane strain case", J. Eng. Mech., 104(4), 953-959.
  26. Rajapakse, R.K. and Senjuntichai, T. (1995), "Dynamic response of a multi-layered poroelastic medium", Earthq. Eng. Struct., 24(5), 703-722. https://doi.org/10.1002/eqe.4290240507
  27. Rayleigh, B. (1945), The Theory of Sound, Dover, New York, U.S.A.
  28. Senjuntichai, T. and Rajapakse, R.K.N.D. (1993), "Transient response of a circular cavity in a poroelastic medium", J. Numer. Anal. Meth. Geomech., 17(6), 357-383. https://doi.org/10.1002/nag.1610170602
  29. Wu, W., Jiang, G., Huang, S. and Leo, C.J. (2014), "Vertical dynamic response of pile embedded in layered transversely isotropic soil", Math. Probl. Eng. 12, 1-12.
  30. Wu, W.B., Wang, K.H., Zhang, Z.Q. and Leo, C.J. (2013), "Soil-pile interaction in the pile vertical vibration considering true three-dimensional wave effect of soil", J. Numer. Anal. Meth. Geomech., 37(17), 2860-2876. https://doi.org/10.1002/nag.2164
  31. Yang, D.Y., Wang, K.H., Zhang, Z.Q. and Leo, C.J. (2009), "Vertical dynamic response of pile in a radially heterogeneous soil layer", J. Numer. Anal. Meth. Geomech., 33(8) 1039-1054. https://doi.org/10.1002/nag.755
  32. Yang, X. and Pan, Y. (2010), "Axisymmetrical analytical solution for vertical vibration of end-bearing pile in saturated viscoelastic soil layer", Appl. Math. Mech., 31(2), 193-204. https://doi.org/10.1007/s10483-010-0207-7
  33. Zheng, C., Kouretzis, G.P., Sloan, S.W., Liu, H. and Ding, X. (2015), "Vertical vibration of an elastic pile embedded in poroelastic soil", Soil Dyn. Earthq. Eng., 77, 171-181.
  34. Zheng, Y. Y. and Yang, X. (2005), "Plane waves in liquid-saturated viscoelastic porous medium", Acta. Mech. Solid. Sin., 26(2), 203-206.
  35. Zhou, X.L., Wang, J.H., Jiang, L.F. and Xu, B. (2009), "Transient dynamic response of pile to vertical load in saturated soil", Mech. Res. Commun., 36(5), 618-624. https://doi.org/10.1016/j.mechrescom.2009.01.004

Cited by

  1. New Analytical Solutions for Longitudinal Vibration of a Floating Pile in Layered Soils with Radial Heterogeneity vol.8, pp.8, 2018, https://doi.org/10.3390/math8081294
  2. The effect of pile cap stiffness on the seismic response of soil-pile-structure systems under near-fault ground motions vol.20, pp.1, 2018, https://doi.org/10.12989/eas.2021.20.1.087
  3. Soil vibration induced by railway traffic around a pile under the inclined bedrock condition vol.24, pp.2, 2021, https://doi.org/10.12989/gae.2021.24.2.143