Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2014, Article ID 126916, 12 pages
http://dx.doi.org/10.1155/2014/126916
Research Article

Vertical Dynamic Response of Pile Embedded in Layered Transversely Isotropic Soil

1Engineering Faculty, China University of Geosciences, Wuhan, Hubei 430074, China
2School of Computing, Engineering and Mathematics, University of Western Sydney, Locked Bag 1797, Penrith, Sydney, NSW 2751, Australia

Received 15 April 2014; Revised 24 June 2014; Accepted 24 June 2014; Published 17 July 2014

Academic Editor: Sarp Adali

Copyright © 2014 Wenbing Wu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. Novak and Y. O. Beredugo, “Vertical vibration of embedded footings,” Journal of the Soil Mechanics and Foundations Division, vol. 98, no. 12, pp. 1291–1310, 1972. View at Google Scholar · View at Scopus
  2. T. Nogami and K. Konagai, “Time domain axial response of dynamically loaded single piles,” Journal of Engineering Mechanics, ASCE, vol. 112, no. 11, pp. 1241–1252, 1986. View at Publisher · View at Google Scholar · View at Scopus
  3. S. T. Liao and J. M. Roesset, “Dynamic response of intact piles to impulse loads,” International Journal for Numerical and Analytical Methods in Geomechanics, vol. 21, no. 4, pp. 255–275, 1997. View at Publisher · View at Google Scholar · View at Scopus
  4. S. T. Liao and J. M. Roesset, “Identification of defects in piles through dynamic testing,” International Journal for Numerical and Analytical Methods in Geomechanics, vol. 21, no. 4, pp. 277–291, 1997. View at Publisher · View at Google Scholar · View at Scopus
  5. O. Michaelides, G. Gazetas, G. Bouckovalas, and E. Chrysikou, “Approximate non-linear dynamic axial response of piles,” Geotechnique, vol. 48, no. 1, pp. 33–53, 1998. View at Publisher · View at Google Scholar · View at Scopus
  6. D. J. Liu, “Longitudinal waves in piles with exponentially varying cross sections,” Chinese Journal of Geotechnical Engineering, vol. 30, no. 7, pp. 1066–1071, 2008. View at Google Scholar · View at Scopus
  7. K. H. Wang, W. B. Wu, Z. Q. Zhang, and C. J. Leo, “Vertical dynamic response of an inhomogeneous viscoelastic pile,” Computers and Geotechnics, vol. 37, no. 4, pp. 536–544, 2010. View at Publisher · View at Google Scholar · View at Scopus
  8. K. A. Kuo and H. E. M. Hunt, “An efficient model for the dynamic behaviour of a single pile in viscoelastic soil,” Journal of Sound and Vibration, vol. 332, no. 10, pp. 2549–2561, 2013. View at Publisher · View at Google Scholar · View at Scopus
  9. M. Novak, “Dynamic stiffness and damping of piles,” Canadian Geotechnical Journal, vol. 11, no. 4, pp. 574–598, 1974. View at Publisher · View at Google Scholar
  10. M. Novak and F. Aboul-Ella, “Dynamic soil reaction for plane strain case,” Journal of the Engineering Mechanical Division, vol. 104, no. 4, pp. 953–959, 1978. View at Google Scholar
  11. S. M. Mamoon and P. K. Banerjee, “Time-domain analysis of dynamically loaded single piles,” Journal of Engineering Mechanics, vol. 118, no. 1, pp. 140–160, 1992. View at Google Scholar
  12. Y. C. Han, “Dynamic vertical response of piles in nonlinear soil,” Journal of Geotechnical Engineering, vol. 123, no. 8, pp. 710–716, 1997. View at Publisher · View at Google Scholar · View at Scopus
  13. M. H. El Naggar and M. Novak, “Nonlinear lateral interaction in pile dynamics,” Soil Dynamics and Earthquake Engineering, vol. 14, no. 2, pp. 141–157, 1995. View at Publisher · View at Google Scholar · View at Scopus
  14. M. H. El Naggar and M. Novak, “Nonlinear analysis for dynamic lateral pile response,” Soil Dynamics and Earthquake Engineering, vol. 15, no. 4, pp. 233–244, 1996. View at Publisher · View at Google Scholar · View at Scopus
  15. G. Militano and R. K. N. D. Rajapakse, “Dynamic response of a pile in a multi-layered soil to transient torsional and axial loading,” Geotechnique, vol. 49, no. 1, pp. 91–109, 1999. View at Publisher · View at Google Scholar · View at Scopus
  16. W. B. Wu, G. S. Jiang, B. Dou, and C. J. Leo, “Vertical dynamic impedance of tapered pile considering compacting effect,” Mathematical Problems in Engineering, vol. 2013, Article ID 304856, p. 9, 2013. View at Publisher · View at Google Scholar
  17. T. Nogami and M. Novak, “Soil-pile interaction in vertical vibration,” Earthquake Engineering and Structural Dynamics, vol. 4, no. 3, pp. 277–293, 1976. View at Publisher · View at Google Scholar · View at Scopus
  18. R. K. N. D. Rajapakse, Y. Chen, and T. Senjuntichai, “Electroelastic field of a piezoelectric annular finite cylinder,” International Journal of Solids and Structures, vol. 42, no. 11-12, pp. 3487–3508, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  19. T. Senjuntichai, S. Mani, and R. K. N. D. Rajapakse, “Vertical vibration of an embedded rigid foundation in a poroelastic soil,” Soil Dynamics and Earthquake Engineering, vol. 26, no. 6-7, pp. 626–636, 2006. View at Publisher · View at Google Scholar · View at Scopus
  20. K. H. Wang, Z. Q. Zhang, C. J. Leo, and K. H. Xie, “Dynamic torsional response of an end bearing pile in saturated poroelastic medium,” Computers and Geotechnics, vol. 35, no. 3, pp. 450–458, 2008. View at Publisher · View at Google Scholar · View at Scopus
  21. C. B. Hu and X. M. Huang, “A quasi-analytical solution to soil-pile interaction in longitudinal vibration in layered soils considering vertical wave effect on soils,” Journal of Earthquake Engineering and Engineering Vibration, vol. 26, no. 4, pp. 205–211, 2006. View at Google Scholar · View at Scopus
  22. L. C. Liu, Q. F. Yan, and X. Yang, “Vertical vibration of single pile in soil described by fractional derivative viscoelastic model,” Engineering Mechanics, vol. 28, no. 8, pp. 177–182, 2011. View at Google Scholar · View at Scopus
  23. A. S. Veletsos and K. W. Dotson, “Vertical and torsional vibration of foundations in inhomogeneous media,” Journal of Geotechnical Engineering, vol. 114, no. 9, pp. 1002–1021, 1988. View at Publisher · View at Google Scholar · View at Scopus
  24. K. W. Dotson and A. S. Veletsos, “Vertical and torsional impedances for radially inhomogeneous viscoelastic soil layers,” Soil Dynamics and Earthquake Engineering, vol. 9, no. 3, pp. 110–119, 1990. View at Publisher · View at Google Scholar · View at Scopus
  25. M. H. El Naggar, “Vertical and torsional soil reactions for radially inhomogeneous soil layer,” Structural Engineering and Mechanics, vol. 10, no. 4, pp. 299–312, 2000. View at Publisher · View at Google Scholar · View at Scopus
  26. H. D. Wang and S. P. Shang, “Research on vertical dynamic response of single-pile in radially inhomogeneous soil during the passage of Rayleigh waves,” Journal of Vibration Engineering, vol. 19, no. 2, pp. 258–264, 2006. View at Google Scholar · View at Scopus
  27. D. Y. Yang, K. H. Wang, Z. Q. Zhang, and C. J. Leo, “Vertical dynamic response of pile in a radially heterogeneous soil layer,” International Journal for Numerical and Analytical Methods in Geomechanics, vol. 33, no. 8, pp. 1039–1054, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  28. S. G. Lekhnitskii, Theory of Anisotropic Elastic Bodies, Holden-day, San Francisco, Calif, USA, 1963. View at MathSciNet
  29. Y. M. Tsai, “Torsional vibrations of a circular disk on an infinite transversely isotropic medium,” International Journal of Solids and Structures, vol. 25, no. 9, pp. 1069–1076, 1989. View at Publisher · View at Google Scholar · View at Scopus
  30. M. W. Liu and M. Novak, “Dynamic response of single piles embedded in transversely isotropic layered media,” Earthquake Engineering & Structural Dynamics, vol. 23, no. 11, pp. 1239–1257, 1994. View at Publisher · View at Google Scholar · View at Scopus
  31. R. Chen, C. F. Wan, S. T. Xue, and H. S. Tang, “Dynamic impedances of double piles in transversely isotropic layered media,” Journal of Tongji University, vol. 31, no. 2, pp. 127–131, 2003. View at Google Scholar · View at Scopus
  32. G. Chen, Y. Q. Cai, F. Y. Liu, and H. L. Sun, “Dynamic response of a pile in a transversely isotropic saturated soil to transient torsional loading,” Computers and Geotechnics, vol. 35, no. 2, pp. 165–172, 2008. View at Publisher · View at Google Scholar · View at Scopus
  33. K. H. Wang, Z. Q. Zhang, C. J. Leo, and K. H. Xie, “Dynamic torsional response of an end bearing pile in transversely isotropic saturated soil,” Journal of Sound and Vibration, vol. 327, no. 3–5, pp. 440–453, 2009. View at Publisher · View at Google Scholar · View at Scopus
  34. W. B. Wu, K. H. Wang, D. Y. Yang, S. J. Ma, and B. N. Ma, “Longitudinal dynamic response to the pile embedded in layered soil based on fictitious soil pile model,” China Journal of Highway and Transport, vol. 25, no. 2, pp. 72–80, 2012. View at Google Scholar · View at Scopus
  35. H. J. Ding, Transversely Isotropic Elastic Mechanics, Zhejiang University Publishing House, Hangzhou, China, 1997.