Vertical vibration of an end bearing pile interacting with the radially inhomogeneous saturated soil

An exact solution is proposed to study the time-harmonic torsional vibration of an elastic pile embedded in a radially inhomogeneous saturated soil. The radially inhomogeneous saturated soil is composed of inner disturbed and outer semi-infinite undisturbed concentric annular regions, with the shear modulus of the inner region changing in an exponential form along the radial direction. The governing equation of each region of the saturated soil is solved through rigorous mathematical derivation and the soil torsional impedance is derived with an exact and explicit expression. Making use of the boundary and continuity conditions of the pile-soil system, the torsional complex stiffness at the pile top is obtained in an exact closed form in the frequency domain. Selected numerical results are presented to investigate the influence of the radial inhomogeneity of the surrounding soil on the vibration characteristics of the pile-soil system.

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Vertical vibration analysis of axisymmetric saturated soil

Applied Mathematics and Mechanics ◽

10.1007/s10483-006-0111-z ◽

2006 ◽

Vol 27 (1) ◽

pp. 83-89 ◽

Cited By ~ 4

Author(s):

Yuan-qiang Cai ◽

Chang-jie Xu ◽

Zao-feng Zheng ◽

Da-zhi Wu

Keyword(s):

Vibration Analysis ◽

Vertical Vibration ◽

Saturated Soil

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Dynamic torsional response of pre-strained end bearing pile embedded in pre-strained isotropic saturated soil medium

Applied Mathematics and Mechanics ◽

10.1007/s10483-013-1764-8 ◽

2013 ◽

Vol 34 (12) ◽

pp. 1521-1534 ◽

Cited By ~ 5

Author(s):

Wen-tao Hu ◽

Tang-dai Xia ◽

Zhi-qing Zhang

Keyword(s):

Saturated Soil ◽

Soil Medium ◽

Torsional Response ◽

End Bearing Pile

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Vertical Vibration Amplification of a Saturated Fractional Derivative Type Viscoelastic Soil Layer

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.170-173.1142 ◽

2012 ◽

Vol 170-173 ◽

pp. 1142-1146

Author(s):

Min Jie Wen ◽

Hui Tuan He

Keyword(s):

Fractional Derivative ◽

Layer Thickness ◽

Water Pressure ◽

Soil Layer ◽

Vertical Vibration ◽

Saturated Soil ◽

Amplification Coefficient ◽

Geometrical Parameters ◽

Derivative Type ◽

Soil Skeleton

Regarding the soil skeleton as viscoelastic medium with fractional derivative constitutive behavior, the influences of the soil skeleton viscosity and the soil layer thickness of saturated fractional derivative viscoelastic soil layer on the vertical vibration amplification coefficient is studied in the frequency domain by using the theory of Biot and one dimensional wave. The analytical expressions of the displacement, stress and pore water pressure of saturated soil layer are obtained by decoupling dynamic control equations and bounding the soil layer boundary conditions. The influences of physical and geometrical parameters of the saturated soil on vertical vibration amplification are investigated, and it is revealed that the vertical vibration amplification of the saturated classic elastic, fractional derivative type viscoelastic saturated soil and saturated classic viscoelastic soil are different when the soil layer thickness are changed; the material parameters of the fractional derivative model have great influences on the vertical vibration amplification coefficient.

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