Vertical Vibration of a Pipe Pile in Viscoelastic Soil Considering the Three-Dimensional Wave Effect of Soil
Publication: International Journal of Geomechanics
Volume 16, Issue 1
Abstract
An analytical solution is developed in this paper to investigate the vertical vibration of a pipe pile in viscoelastic soil. The soil is assumed to be a homogeneous and isotropic layer. The pipe pile is considered as a one-dimensional Euler rod. Considering both the vertical and radial displacements of the outer and inner soils and the soil pile–coupled vibration, the dynamic equilibrium equations of the soil and pile are established. The dilatations of the outer and inner soil are obtained by differential transformation on the equations of soil and the variable separation method. Then, the vertical and radial displacements of the outer and inner soils are obtained. The displacement response and impedance function of the pipe pile are derived using the continuity assumption of the displacement and stress between the piles and the soils. Numerical examples are presented to analyze the vibration characteristics of the pile.
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Acknowledgments
This work was supported by the 111 project (Grant No. B13024), the National Natural Science Foundation of China (Grant Nos. U1134207 and 51378177), and the Program for New Century Excellent Talents in University (Grant No. NCET-12-0843).
References
Anyaegbunam, A. (2014). “Complete stresses and displacements in a cross-anisotropic half-space caused by a surface vertical point load.” Int. J. Geomech., 171–181.
Basack, S., and Sen, S. (2014). “Numerical solution of single pile subjected to simultaneous torsional and axial loads.” Int. J. Geomech., 06014006.
Bishop, R. E. D., and Johnson, D. C. (1979). The mechanics of vibration, Cambridge University Press, Cambridge, U.K.
De Nicola, A., and Randolph, M. F. (1999). “Centrifuge modelling of pipe piles in sand under axial loads.” Géotechnique, 49(3), 295–318.
Ding, X. M., Liu, H. L., and Chen, Y. M. (2009). “Analytical solution on vertical dynamic responses of PCC piles in soft soil.” Int. Symp. on Ground Improvement Technologies and Case Histories (ISGI09), Geotechnical Society of Singapore, Singapore, 247–256.
Hossain, M., and Yin, J. (2014). “Behavior of a pressure-grouted soil-cement interface in direct shear tests.” Int. J. Geomech., 101–109.
Lehane B. M., and Gavin K. G. (2001). “Base resistance of jacked pipe piles in sand.” J. Geotech. Geoenviron. Eng., 473–480.
Liao, S. T., and Roesset, J. M. (1997). “Dynamic response of intact piles to impulse loads.” Int. J. Numer. Anal. Methods Geomech., 21(4), 255–275.
Liu, H. L., Chu, J., and Deng, A. (2009). “Use of large-diameter cast–in situ concrete pipe piles for embankment over soft clay.” Can. Geotech. J., 46(8), 915–927.
Love, A. E. H. (1927). The mathematical theory of elasticity, Cambridge University Press, Cambridge, U.K.
Militano, G., and Rajapakse, R. K. N. D. (1999). “Dynamic response of a pile in a multi-layered soil to transient torsional and axial loading.” Géotechnique, 49(1), 91–109.
Mylonakis, G., and Gazetas G. (1998). “Vertical vibration and additional distress of grouped piles in layered soil.” Soils Found., 38(1), 1–14.
Nogami, T., and Konagai, K. (1986). “Time domain axial response of dynamically loaded single piles.” J. Eng. Mech., 1241–1252.
Nogami, T., and Konagai, K. (1987). “Dynamic response of vertically loaded nonlinear pile foundations.” J. Geotech. Eng., 147–160.
Nogami, T., and Novak, M. (1976). “Soil–pile interaction in vertical vibration.”Earthquake Eng. Struct. Dyn., 4(3), 277–293.
Novak, M. (1974). “Dynamic stiffness and damping of piles.” Can. Geotech. J., 11(4), 575–598.
Novak, M., Nogami T., and Aboul-Ella, F. (1978). “Dynamic soil reactions for plane strain case.” J. Engrg. Mech. Div., 104(4), 953–959.
Pak, R. Y. S., and Ji, F. (1994). “Mathematical boundary integral equation analysis of an embedded shell under dynamic excitations.” Int. J. Numer. Methods Eng., 37(14), 2501–2520.
Tran, V., Meguid, M., and Chouinard, L. (2014). “Discrete element and experimental investigations of the earth pressure distribution on cylindrical shafts.” Int. J. Geomech., 80–91.
Wang, K. H., Wu, W. B., Zhang, Z. Q., and Leo, C. J. (2010). “Vertical dynamic response of an inhomogeneous viscoelastic pile.” Comput. Geotech., 37(4), 536–544.
Wu, W. B., Wang, K. H., and Zhang, Z. Q. (2013). “Soil-pile interaction in the pile vertical vibration considering true three-dimensional wave effect of soil.” Int. J. Numer. Anal. Methods Geomech., 37(17), 2860–2876.
Xu, X. T., Liu, H. L., and Lehane, B. M. (2006). “Pipe pile installation effects in soft clay.” Proc. Inst. Civ. Eng. Geotech. Eng., 159(4), 285–296.
Yin, J. H., and Tong, F. (2011). “Constitutive modelling of the time-dependent stress-strain behaviour of saturated soils exhibiting both creep and swelling.” Can. Geotech. J., 48(12), 1870–1885.
Zheng, C., Ding, X., Li, P., and Fu, Q. (2014a). “Vertical impedance of an end-bearing pile in viscoelastic soil.” Int. J. Numer. Anal. Methods. Geomech., 39(6), 676–684.
Zheng, C., Liu, H., Ding, X., and Lv, Y. (2014b). “Torsional dynamic response of a large-diameter pipe pile in viscoelastic saturated soil.” Int. J. Numer. Anal. Methods Geomech., 38(16), 1724–1743.
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Published In
International Journal of Geomechanics
Volume 16 • Issue 1 • February 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Jun 12, 2014
Accepted: Apr 2, 2015
Published online: Jun 20, 2015
Discussion open until: Nov 20, 2015
Published in print: Feb 1, 2016
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