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Vertical Dynamic Response of Pile Embedded in Layered Transversely Isotropic Soil

Author

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  • Wenbing Wu
  • Guosheng Jiang
  • Shenggen Huang
  • Chin Jian Leo

Abstract

The dynamic response of pile embedded in layered transversely isotropic soil and subjected to arbitrary vertical harmonic force is investigated. Based on the viscoelastic constitutive relations for a transversely isotropic medium, the dynamic governing equation of the transversely isotropic soil is obtained in cylindrical coordinates. By introducing the fictitious soil pile model and the distributed Voigt model, the governing equations of soil-pile system are also derived. Firstly, the vertical response of the soil layer is solved by using the Laplace transform technique and the separation of variables technique. Secondly, the analytical solution of velocity response in the frequency domain and its corresponding semianalytical solution of velocity response in the time domain are derived by means of inverse Fourier transform and convolution theorem. Finally, based on the obtained solutions, a parametric study has been conducted to investigate the influence of the soil anisotropy on the vertical dynamic response of pile. It can be seen that the influence of the shear modulus of soil in the vertical plane on the dynamic response of pile is more notable than the influence of the shear modulus of soil in the horizontal plane on the dynamic response of pile.

Suggested Citation

  • Wenbing Wu & Guosheng Jiang & Shenggen Huang & Chin Jian Leo, 2014. "Vertical Dynamic Response of Pile Embedded in Layered Transversely Isotropic Soil," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-12, July.
    • Handle: RePEc:hin:jnlmpe:126916
    DOI: 10.1155/2014/126916
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    Cited by:

    1. Chunyi Cui & Shiping Zhang & Kun Meng & Chengshun Xu & Gang Yang, 2018. "An analytical solution for integrity detection of a floating pile embedded in saturated viscoelastic half-space," International Journal of Distributed Sensor Networks, , vol. 14(9), pages 15501477188, September.
    2. Wenbing Wu & Yunpeng Zhang, 2022. "A Review of Pile Foundations in Viscoelastic Medium: Dynamic Analysis and Wave Propagation Modeling," Energies, MDPI, vol. 15(24), pages 1-24, December.

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