Vertical dynamic impedance of pile considering the dynamic stress diffusion effect of pile end soil

References

• Chen, J. X. 2008. Preliminary Feasibility Studies and Analysis on Method of Virtual Pile of Soil [D]. Hangzhou: Zhejiang University.
   Google Scholar
• Davies, T. G., R. Sen, and P. K. Banerjee. 1985. Dynamic behavior of pile groups in inhomogeneous soil [J]. Journal of Geotechnical Engineering Division, ASCE. 111(12): 1365–1379.
   Google Scholar
• Gazetas, G. and N. Makris. 1991. Dynamic pile-soil-pile interaction. Part I: Analysis of axial vibration [J]. Earthquake Engineering and Structural Dynamics 20(1): 115–132.
   Web of Science ®Google Scholar
• Hu, C. B. and X. M. Huang. 2006. A quasi-analytical solution to soil-pile interaction in longitudinal vibration in layered soils considering vertical wave effect on soils [J]. Earthquake Engineering and Engineering Vibration 26(4): 205–211.
   Google Scholar
• Kong, D. S., M. T. Luan, and Q. Yang. 2005. Review of dynamic Winkler model applied in pile-soil interaction analyses [J]. World Earthquake Engineering 21(1): 12–17.
   Google Scholar
• Liao, S. T. and J. M. Roesset. 1997a. Dynamic response of intact piles to impulse loads [J]. International Journal for Numerical and Analytical Methods in Geomechanics 21(4): 255–275.
   Web of Science ®Google Scholar
• Liao, S. T. and J. M. Roesset. 1997b. Identification of defects in piles through dynamic testing [J]. International Journal for Numerical and Analytical Methods in Geomechanics 21(4): 277–291.
   Web of Science ®Google Scholar
• Lysmer, J. and F. E. Richard. 1966. Dynamic response of footings to vertical load [J]. Soil Mechanical and Foundation Division 2(1): 65–91.
   Google Scholar
• Militano, G. and R. K. N. D. Rajapakse. 1999. Dynamic response of a pile in a multi-layered soil to transient torsional and axial loading [J]. Geotechnique 49(1): 91–109.
   Web of Science ®Google Scholar
• Nogami, T. and K. Konagai. 1986. Time domain axial response of dynamically loaded single piles [J]. Journal of Engineering Mechanics Division, ASCE 112(11): 1241–1252.
   Web of Science ®Google Scholar
• Nogami, T. and K. Konagai. 1987. Dynamic response of vertically loaded nonlinear pile foundations [J]. Journal of Geotechnical Engineering Division, ASCE 113(2): 147–160.
   Google Scholar
• Nogami, T. and M. Novak. 1976. Soil-pile interaction in vertical vibration [J]. Earthquake Engineering and Structural Dynamics, 4(3): 277–293.
   Google Scholar
• Novak, M. 1977. Vertical vibration of floating pile [J]. Journal of the Engineering Mechanical Division, ASCE. 103(1): 153–168.
   Web of Science ®Google Scholar
• Novak, M. and Y O. Beredugo. 1972. Longitudinal vibration of embedded footings [J]. Journal of the Soil Mechanics and Foundations Division, ASCE. 98(12): 1291–1310.
   Google Scholar
• Novak, M., T. Nogami, and F. Aboul-Ella. 1978. Dynamic soil reactions for plane strain case [J]. Journal of the Engineering Mechanical Division, ASCE 104(4): 953–959.
   Web of Science ®Google Scholar
• Randolph, M. F. and A. J. Deeks. 1992. Dynamic and static soil models for axial response [C]. Proceedings of the 4th International Conference on the Application of Stress Wave Theory to Piles, The Hague, 3–14.
   Google Scholar
• Wang, H. D. and S. P. Shang. 2006. Research on vertical dynamic response of single-pile in radically inhomogeneous soil during the passage of Rayleigh waves [J]. Journal of Vibration Engineering 19(2): 258–264.
   Google Scholar
• Wang, T., K. H. Wang, and K. H. Xie. 2001. An analytical solution to longitudinal vibration of a pile of arbitrary segments with variable modulus [J]. Acta Mechanica Solida Sinica 14(1): 67–73.
   Web of Science ®Google Scholar
• Wang, K. H., Z. Q. Zhang, K. H. Xie, and C. J. Leo. 2009. Dynamic torsional response of an end bearing in transversely isotropic saturated soil [J]. Journal of Sound and Vibration 327(3–5): 400–453.
   Google Scholar
• Wang, K. H., W. B. Wu, Z. Q. Zhang, and J. L. Chin. 2010. Vertical dynamic response of an inhomogeneous viscoelastic pile[J]. Computers and Geotechnics 37(4): 536–544.
   Web of Science ®Google Scholar
• Wu, W. B., G. S. Jiang, B. Dou, and C. J. Leo. 2013a. Vertical dynamic impedance of tapered pile considering compacting effect [J]. Mathematical Problems in Engineering 2013, Article ID: 304856, p. 9.
   Web of Science ®Google Scholar
• Wu, W. B., G. S. Jiang, S. H. Lü, S. G. Huang, and B. H. Xie. 2014. Torsional dynamic impedance of tapered pile considering its construction disturbance effect [J]. Marine Georesources & Geotechnology (accepted).
   Web of Science ®Google Scholar
• Wu, W. B., K. H. Wang, Z. Q. Zhang, and J. X. Chen. 2012. Accuracy and application of virtual soil pile model in half space foundation [J]. Journal of Basic Science and Engineering 20(1): 121–129.
   Google Scholar
• Wu, W. B., K. H. Wang, Z. Q. Zhang, and C. J. Leo. 2013b. Soil-pile interaction in the pile vertical vibration considering true three-dimensional wave effect of soil [J]. International Journal for Numerical and Analytical Methods in Geomechanics 37(17): 2860–2876.
   Web of Science ®Google Scholar
• Yan, B. and Y. Huang. 2004. Simple method for calculating vertical dynamic impedance of rigidly-capped pile groups [J]. Chinese Journal of Geotechnical Engineering 26(5): 465–468.
   Google Scholar