Vertical Dynamic Response of Pile Embedded in Layered Transversely Isotropic Soil | Zendy

Wenbing Wu | Zendy; Guosheng Jiang | Zendy; Shenggen Huang | Zendy; Chin Jian Leo | Zendy

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Vertical Dynamic Response of Pile Embedded in Layered Transversely Isotropic Soil

Author(s) -

Wenbing Wu,

Guosheng Jiang,

Shenggen Huang,

Chin Jian Leo

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/126916

Subject(s) - transverse isotropy , pile , laplace transform , viscoelasticity , fourier transform , isotropy , time domain , shear modulus , inverse laplace transform , geotechnical engineering , materials science , mechanics , mathematical analysis , geology , mathematics , physics , optics , computer science , composite material , computer vision

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

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