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Nonlinear dynamical characteristics of piles under horizontal vibration

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Abstract

The pile-soil system is regarded as a visco-elastic half-space embedded pile. Based on the method of continuum mechanics, a nonlinear mathematical model of pilesoil interaction was established-a coupling nonlinear boundary value problem. Under the case of horizontal vibration, the nonlinearly dynamical characteristics of pile applying the axis force were studied in horizontal direction in frequency domain. The effects of parameters, especially the axis force on the stiffness were studied in detail. The numerical results suggest that it is possible that the pile applying an axis force will lose its stability. So, the effect of the axis force on the pile is considered.

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References

  1. Novak M. Dynamic stiffness and damping of pile[J].Canadian Geotechnical J, 1974,11(4): 574–598.

    Article  Google Scholar 

  2. Novak M. Resistance of soil to a horizontally vibrating pile[J].Earthquake Engineering and Structure Dynamics, 1977,5(2):249–261.

    Google Scholar 

  3. Novak M. Soil-pile interaction in horizontal vibration[J].Earthquake Engineering and Structure Dynamics, 1977,5(2):263–281.

    Google Scholar 

  4. Novak M, Han Y C. Impedances of soil layer with boundary zone[J].Journal of Geotechnical Engineering, 1990,116(6):1008–1015.

    Google Scholar 

  5. Angelides D C, Roesset J M. Nonlinear lateral dynamic stiffness of pile[J].Journal of the Geotechnical Engineering Division, 1981,107(GT11):1443–1460.

    Google Scholar 

  6. Anestise S. Impedances of soil layer with disturbed boundary zone[J].Journal of Geotechnical Engineering, 1985,112(3):363–368.

    Google Scholar 

  7. Yang Xiao, Chau K T. Resistance of nonlinear soil to a horizontally vibrating pile[A]. In:International Congress of Theoretical and Applied Mechanics, ICTAM 2000[C]. Abstract Book, Chicago, 2000, 72–82.

  8. Cheng Changjun.Theory of Elasticity[M]. Lanzhou University Press, Lanzhou, 1996 (in Chinese).

    Google Scholar 

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics; Department of Mechanics, Shanghai University, 200072, Shanghai, P. R. China

    Hu Yu-jia (Professor), Cheng Chang-jun & Yang Xiao

Authors
  1. Hu Yu-jia
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  2. Cheng Chang-jun
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  3. Yang Xiao
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Corresponding author

Correspondence to Cheng Chang-jun.

Additional information

Contributed by CHENG Chang-jun

Project supported by the National Natural Science Foundation of China (No. 50278051) and the Shanghai Key Subject Program

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Yu-jia, H., Chang-jun, C. & Xiao, Y. Nonlinear dynamical characteristics of piles under horizontal vibration. Appl Math Mech 26, 700–708 (2005). https://doi.org/10.1007/BF02465419

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  • DOI: https://doi.org/10.1007/BF02465419

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Chinese Library Classification

2000 Mathematics Subject Classification

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