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首页> 外文期刊>Applied Mathematical Modelling >Vertical impedance of a tapered pile in inhomogeneous saturated soil described by fractional viscoelastic model
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Vertical impedance of a tapered pile in inhomogeneous saturated soil described by fractional viscoelastic model

机译：分数黏弹性模型描述的非均质饱和土中锥形桩的竖向阻抗

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Vertical impedance of a tapered pile embedded in the saturated viscoelastic half-space is theoretically investigated with the consideration of construction disturbances in radial direction. The constitutive behaviour of the soil is described by a fractional viscoelastic model. The tapered pile is divided to a series of stepping cylindrical segments to characterize its variable cross-section. An improved complex stiffness transfer model of the saturated soil is developed to determine the vertical reactions of the radially inhomogeneous soil on pile segments. The vertical impedance of the tapered pile is obtained by solving the differential equations for axial vibration of pile segments based on the Rayleigh-Love rod theory and recursive formulas. The validity and accuracy of the analytical solutions are demonstrated through the comparison examples for the cases of both soil compaction and soil softening. Parametric studies are performed to investigate the influences of tapered angle, fluid permeability and fractional order of soil constitutive model on vertical impedance of the tapered pile. The results indicate that the soil medium with high permeability, such as sandy and gravelly saturated foundation, has noticeable influence on the vertical impedance of tapered pile. In addition, it is suggested that the constitutive model of the soil should accurately describe the stress-strain experimental data to ensure the accuracy of the vertical impedance, especially for those tapered piles under excitations with high frequency. (C) 2019 Elsevier Inc. All rights reserved.
机译：理论上考虑了径向方向上的施工扰动，研究了嵌入饱和粘弹性半空间中的锥形桩的竖向阻抗。用分数粘弹性模型描述了土壤的本构行为。锥形桩被分为一系列阶梯式圆柱段，以表征其可变横截面。建立了改进的饱和土复杂刚度传递模型，以确定径向不均匀土在桩段上的竖向反应。根据Rayleigh-Love杆理论和递推公式，通过求解桩段轴向振动的微分方程，可以得出锥形桩的垂直阻抗。通过对土壤压实和土壤软化情况的比较实例证明了分析方法的有效性和准确性。进行了参数研究，以研究锥角，流体渗透率和土本构模型的分数阶数对锥桩竖向阻抗的影响。结果表明，高渗透性的土壤介质，如砂土和砾石饱和地基，对锥形桩的竖向阻抗有明显的影响。另外，建议土的本构模型应准确地描述应力-应变试验数据，以确保垂直阻抗的准确性，特别是对于那些在高频激励下的锥形桩。 （C）2019 Elsevier Inc.保留所有权利。

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