Skip to main content
SpringerLink
Log in

Longitudinal dynamic response of pile in layered soil based on virtual soil pile model

  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

Taking the effect of finite soil layers below pile end into account, the longitudinal dynamic response of pile undergoing dynamic loading in layered soil was theoretically investigated. Firstly, finite soil layers below pile end are modeled as virtual soil pile whose cross-section area is the same as that of the pile and the soil layers surrounding the pile are described by the plane strain model. Then, by virtue of Laplace transform and impedance function transfer method, the analytical solution of longitudinal dynamic response at the pile head in frequency domain is yielded. Also, the semi-analytical solution in time domain undergoing half-cycle sine pulse at the pile head is obtained by means of inverse Laplace transform. Based on these solutions, a parametric study is conducted to analyze emphatically the effects of parameters of soil below pile end on velocity admittance and reflected wave signals at the pile head. Additionally, a comparison with other models with different supporting conditions from soil below pile end is performed to verify the model presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. NOVAK M, BEREDUGO Y O. Longitudinal vibration of embedded footings [J]. Journal of the Soil Mechanics and Foundations Division, ASCE, 1972, 98: 1291–1310.

    Google Scholar 

  2. NOGAMIT T, KONAGAI K. Dynamic response of longitudinally loaded nonlinear pile foundations [J]. Journal of Geotechnical Engineering Division, ASCE, 1987, 113: 147–160.

    Article  Google Scholar 

  3. NOGAMIT T, KONAGAI K. Time domain flexural response of dynamically loaded single piles [J]. Journal Engineering Mechanics Division, ASCE, 1988, 114: 1512–1525.

    Article  Google Scholar 

  4. NAGGAR M H E I, NOVAK M. Nonlinear analysis for dynamic lateral pile response [J]. Soil Dynamics and Earthquake Engineering, 1996, 15: 233–244.

    Article  Google Scholar 

  5. LIAO S T, ROESSET J M, Dynamic response of intact piles to impulse loads [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1997, 22: 255–275.

    Article  Google Scholar 

  6. LIAO S T, ROESSET J M. Identification of defects in piles through dynamic testing [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1997, 21: 277–291.

    Article  Google Scholar 

  7. MICHAELIDES O, GAZETAS G, BOUCKOVALAS G, CHPYSIKOU E, Approximate non-linear dynamic axial response of piles [J]. Geotechnique, 1998, 48: 33–53.

    Article  Google Scholar 

  8. RANDOLPH M F, SIMONS H A. An improved soil model for one-dimensional pile driving analysis. Proc [C]// 3rd Int Conf on Numerical Methods in Offshore Piling. Nantes, 1986: 3–17.

  9. RANDOLPH M F, DEEKS A J. Dynamic and static soil models for axial response [C]// Proc 4th Int Conf on the Application of Stress Wave Theory to Piles. The Hague, 1992: 3–14.

  10. WANG Kui-hua. A study on longitudinal vibration of pile with inhomogeneous cross section acoustic impedance with Laplace Transform [J]. Acta Mechnica Sinica, 2001, 33: 479–491. (in Chinese)

    Google Scholar 

  11. WANG K H, WU W B, ZHANG Z Q, LEO C J. Longitudinal dynamic response of an inhomogeneous viscoelastic pile [J]. Computers and Geotechnics, 2010, 37: 536–544.

    Article  Google Scholar 

  12. NOVAK M. Dynamic stiffness and damping of piles [J]. Canadian Geotechnical Journal, 1974, 11: 574–598.

    Article  Google Scholar 

  13. NOVAK M. Longitudinal vibration of floating pile [J]. Journal of the Engineering Mechanical Division, ASCE, 1977, 103: 153–168.

    Google Scholar 

  14. NOVAK M, NOGAMI T, ABOUL-ELLA F. Dynamic soil reactions for plane strain case [J]. Journal of the Engineering Mechanical Division, ASCE, 1978, 104: 953–959.

    Google Scholar 

  15. RAJAPAKSE R K N D, SHAH A H. On the longitudinal harmonic motion of an elastic bar embedded in an elastic half-space [J]. International Journal of Solids and Structures, 1978, 23: 267–285.

    Article  Google Scholar 

  16. RAJAPAKSE R K N D, SHAH A H. Impedance curves for an elastic pile [J]. International Journal of Soil Dynamics and Earthquake Engineering, 1989, 8: 145–152.

    Article  Google Scholar 

  17. MAMOON S M, BANERJEE P K. Time-domain analysis of dynamically loaded single piles [J]. Journal of the Engineering Mechanical Division, ASCE, 1992, 118: 140–146.

    Article  Google Scholar 

  18. HAN Y C. Coupled vibration of embedded foundation [J]. Journal of Geotechnical Engineering Division, ASCE, 1989, 115: 1227–1238.

    Article  Google Scholar 

  19. HAN Y C. Dynamic longitudinal response of piles in nonlinear soil [J]. Journal of Geotechnical and Geoenvironmental Engineering Division, ASCE, 1997, 123: 710–716.

    Article  Google Scholar 

  20. MILITANO G, RAJAPAKSE R K N D. Dynamic response of a pile in a multi-layered soil to transient torsional and axial loading [J]. Geotechnique, 1999, 49: 91–109.

    Article  Google Scholar 

  21. NAGGAR M H E I, NOVAK M. Nonlinear axial interaction in pile dynamics [J]. Journal of Geotechnical Engineering Division, ASCE, 1994, 120: 678–695.

    Article  Google Scholar 

  22. NAGGAR M H E I, NOVAK M. Nonlinear lateral interaction in pile dynamics [J]. Soil Dynamics and Earthquake Engineering, 1995, 14: 141–157.

    Article  Google Scholar 

  23. NOGAMI T, NOVAK M. Soil-pile interaction in longitudinal vibration [J]. Earthquake Engineering and Structural Dynamics, 1976, 4: 277–293.

    Article  Google Scholar 

  24. ZENG X, RAJAPAKSE R K N D. Dynamic axial load transfer from elastic bar to poroelastic medium [J]. Journal of the Engineering Mechanical Division, ASCE, 1999, 125: 1048–1055.

    Article  Google Scholar 

  25. HESHAM M, NAGGAR M H E I. Longitudinal and torsional soil reactions for radially inhomogeneous soil layer [J]. Structural Engineering and Mechanics, 2000, 10: 299–312.

    Google Scholar 

  26. HU Chang-bin, WANG Kui-hua, XIE Kang-he. Soil-pile interaction in longitudinal vibrations of a pile with elastic bottom boundaries and its application [J]. Engineering Mechanics, 2003, 20: 146–154. (in Chinese)

    Google Scholar 

  27. YANG D Y, WANG K H, ZHANG Z Q, LEO C J. Longitudinal dynamic response of pile in a radially heterogeneous soil layer [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2008, 33: 1039–1054.

    Article  Google Scholar 

  28. WANG K H, ZHANG Z Q, XIE K H, LEO C J. Dynamic torsional response of an end bearing in transversely isotropic saturated soil [J]. Journal of Sound and Vibration, 2009, 327: 440–453.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Key Laboratory of Soft Soils and Geoenvironmental Engineering of Ministry of Education (Zhejiang University), Hangzhou, 310058, China

    Wen-bing Wu  (吴文兵), Kui-hua Wang  (王奎华) & Shao-jun Ma  (马少俊)

  2. Engineering Faulty, China University of Geosciences, Wuhan, 430074, China

    Wen-bing Wu  (吴文兵)

  3. School of Engineering, University of Western Sydney, Sydney, NSW, 1797, Australia

    Jian Leo Chin

Authors
  1. Wen-bing Wu  (吴文兵)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kui-hua Wang  (王奎华)
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shao-jun Ma  (马少俊)
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Jian Leo Chin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Kui-hua Wang  (王奎华).

Additional information

Foundation item: Project(50879077) supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wu, Wb., Wang, Kh., Ma, Sj. et al. Longitudinal dynamic response of pile in layered soil based on virtual soil pile model. J. Cent. South Univ. 19, 1999–2007 (2012). https://doi.org/10.1007/s11771-012-1237-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-012-1237-5

Key words

Search

Navigation