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Vertical vibration of a floating pile in a saturated viscoelastic soil layer overlaying bedrock

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Abstract

An axisymmetrical analytical solution is developed to investigate the vertical time-harmonic vibration of a floating pile in a saturated viscoelastic soil layer overlaying bedrock. The soil is described by porous medium model established by Boer, while the pile is described by a beam vibration theory. By using separation theory of differential operator and variables to solve the dynamic governing equations for the soil, the fundamental solutions for the soil reactions on side and bottom of the pile are obtained. The dynamic impedance of the pile head is then derived by solving the vibration equation for the pile according to the compatibility condition between the pile and the soil. The proposed model is validated by comparing special cases of our model with the existing results. Numerical examples are presented to analyze the vibration characteristics of the pile.

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References

  1. YU Jun, CHEN Hai-ming, YANG Zhao, LIU Cheng. Dynamic analysis of vertical loaded single pile in multilayered saturated soils [J]. Computational Structural Engineering, 2009(1): 761–769.

    Article  Google Scholar 

  2. WANG Kui-hua, ZHANG Zhi-qing, LEO Chin-jian, XIE Kang-he. Dynamic torsional response of an end bearing pile in saturated poroelastic medium [J]. Computers and Geotechnics, 2008, 35: 450–458.

    Article  Google Scholar 

  3. WANG Kui-hua, ZHANG Zhi-qing, LEO Chin-jian, XIE Kang-he. Dynamic torsional response of an end bearing pile in transversely isotropic saturated soil [J]. Journal of Sound and Vibration, 2009, 327: 440–453.

    Article  Google Scholar 

  4. HU Wen-tao, XIA Tang-dai, ZHANG Zhi-qing. Dynamic torsional response of pre-strained end bearing pile embedded in pre-strained isotropic saturated soil medium [J]. Applied Mathematics and Mechanics, 2013, 34(12): 1521–1534.

    Article  MathSciNet  Google Scholar 

  5. LIU Han-long, ZHENG Chang-jie, DING Xuan-ming, QIN Hong-yu. Vertical dynamic response of a pipe pile in saturated soil layer [J]. Computers and Geotechnics, 2014, 61: 57–66.

    Article  Google Scholar 

  6. ZENG X, RAJAPAKSE R K N D. Vertical vibrations of a rigid disk embedded in a poroelastic medium [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1999, 23: 2075–2095.

    Article  MATH  Google Scholar 

  7. JIN Bo, ZHOU D, ZHONG Z. Lateral dynamic compliance of pile embedded in poroelastic half space [J]. Soil Dynamics and Earthquake Engineering, 2001, 21: 519–525.

    Article  Google Scholar 

  8. LU Jian-fei, JENG Dong-sheng, NIE Wei-dong. Dynamic response of a pile embedded in a porous medium subjected to plane SH waves [J]. Computers and Geotechnics, 2006, 33: 404–418.

    Article  Google Scholar 

  9. LU Jian-fei, XU Bin, WANG Jian-hua, JENG Dong-sheng. Dynamic responses of a pile embedded in a layered poroelastic half-space to a harmonic axial loading [J]. Acta Mech, 2009, 207: 29–49.

    Article  MATH  Google Scholar 

  10. CAI Yuan-qiang, CHEN Gang, XU Chang-jie, WU Da-zhi. Torsional response of pile embedded in a poroelastic medium [J]. Soil Dynamics and Earthquake Engineering, 2006, 26: 1143–1148.

    Article  Google Scholar 

  11. WANG Guo-cai, GE Wei, PAN Xiao-dong, WANG Zhi. Torsional vibrations of single piles embedded in saturated medium [J]. Computers and Geotechnics, 2008, 35: 11–21.

    Article  Google Scholar 

  12. ZHOU Xiang-lian, WANG Jian-hua, JIANG Ling-fa, XU Bo. Transient dynamic response of pile to vertical load in saturated soil [J]. Mechanics Research Communications, 2009, 36: 618–624.

    Article  MATH  Google Scholar 

  13. XU Bin, LU Jian-fei, WANG Jian-hua. Numerical analysis of the isolasion of the vibration due to Rayleigh waves by using pile rows in the poroelastic medium [J]. Arch Appl Mech, 2010, 80: 123–142.

    Article  MATH  Google Scholar 

  14. CAI Yuan-qiang, CHEN Gang, LIU Fei-yu. Torsional pile subjected to transient loading in viscoelastic poroelastic medium [C]// International Conference on Computational Science. 2007, 1188–1196.

    Google Scholar 

  15. CHEN Gang, CAI Yuan-qiang, LIU Fei-yu, SUN Hong. Dynamic response of a pile in a transversely isotropic saturated soil to transient torsional loading [J]. Computers and Geotechnics, 2008, 35: 165–172.

    Article  Google Scholar 

  16. LI Qiang, Zheng Hui, WANG Kui-hua. Analytical solution and its application of vertical vibration of a friction pile in saturated soil [J]. Engineering Mechanics, 2011, 28(1): 157–170. (in Chinese)

    MathSciNet  Google Scholar 

  17. EDELMAN I, WILMANSKI K. Asymptotic analysis of surface waves at vacuum/porous medium and liquid/porous medium interfaces [J]. Continuum Mech Thermodyn, 2002, 14: 25–44.

    Article  MathSciNet  MATH  Google Scholar 

  18. BOER D R. Some issues in the macroscopic porous media theory [M]. Siekmann-Festschrift: University-GH Essen, 1995: 310–323.

    Google Scholar 

  19. BOER D R, LIU Z F. Propagation of acceleration waves in incompressible saturated porous solids [J]. Transport in Porous Media, 1995, 21: 163–173.

    Article  Google Scholar 

  20. BOER D R, LIU Z F. Plane waves in a semi-infinite fluid saturated porous medium [J]. Transport in Porous Media, 1994, 16: 147–173.

    Article  Google Scholar 

  21. BOER D R, LIU Z F. Growth and decay of acceleration waves in incompressible saturated porous elastic solids [J]. J Appl Math Mech, 1996, 76(6): 341–347.

    MATH  Google Scholar 

  22. LIU Zhan-fang, LI De-yuan, YAN Bo. Inhomogeneous plane waves in a saturated porous medium [J]. Rock and Soil Mechanics, 1999, 20(4): 31–35. (in Chinese)

    Google Scholar 

  23. YANG Xiao, CHE Jing-lan. Plane waves and their energy dissipations in a saturated viscoelastic porous medium [J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(5): 579–585. (in Chinese)

    Google Scholar 

  24. SENJUNTICHAI T, RAJAPAKSE RKND. Transient response of a circular cavity in a poroelastic medium [J]. Int J Numer Anal Meth Geomech, 1993, 17: 357–383.

    Article  MATH  Google Scholar 

  25. LIU Lin-chao, YANG Xiao. Study of vertical coupled vibrations of piles in saturated soils using porous medium theory [J]. China Civil Engineering Journal, 2009, 42(9): 89–95. (in Chinese)

    Google Scholar 

  26. WU Wen-bing. Vertical vibration theory of pile-soil system based on fictitious soil pile method and its application [D]. Hangzhou: Zhejiang University, 2012. (in Chinese)

    Google Scholar 

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Authors and Affiliations

  1. Institute of Road and Bridge Engineering, Dalian Maritime University, Dalian, 116026, China

    Chun-yi Cui  (崔春义), Shi-ping Zhang  (张石平), Gang Yang  (杨刚) & Xiao-fei Li  (李晓飞)

  2. School of Civil Engineering, Beijing University of Technology, Beijing, 100022, China

    Chun-yi Cui  (崔春义)

Authors
  1. Chun-yi Cui  (崔春义)
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  2. Shi-ping Zhang  (张石平)
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  3. Gang Yang  (杨刚)
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  4. Xiao-fei Li  (李晓飞)
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Corresponding author

Correspondence to Chun-yi Cui  (崔春义).

Additional information

Foundation item: Projects(50809009, 51578100) supported by the National Natural Science Foundation of China; Projects(3132014326, 3132015095) supported by the Fundamental Research Funds for the Central Universities of China

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Cui, Cy., Zhang, Sp., Yang, G. et al. Vertical vibration of a floating pile in a saturated viscoelastic soil layer overlaying bedrock. J. Cent. South Univ. 23, 220–232 (2016). https://doi.org/10.1007/s11771-016-3065-5

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  • DOI: https://doi.org/10.1007/s11771-016-3065-5

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