考虑桩周饱和土扰动效应的楔形桩水平振动阻抗
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TU473.1

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国家自然科学基金资助项目(52178474,51808190);中央高校基础业务费资助项目(B210202127);常州市科技计划资助项目(CJ20210138)


Lateral vibration impedance of tapered pile embedded in saturated soil with radial disturbance
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    摘要:

    为了计算考虑桩周土扰动效应下的楔形桩水平振动阻抗,将薄层饱和土径向离散,利用 Biot 波动理论建立饱和土的复刚度传递多圈层水平振动平面应变模型,计算径向非均质的桩周土对桩身的水平动反力;将楔形桩轴向离散,基于 Timoshenko 梁理论建立考虑桩身剪切振动效应的横向振动微分方程,利用传递矩阵法推导桩顶水平振动阻抗的半解析解。对考虑饱和土扰动效应下楔形桩水平振动阻抗的影响因素进行了参数化分析,研究表明:在低频激振下增大楔形角能提高桩顶的水平阻抗,且随着振动频率的提高,增大楔形角会增强阻抗的频率依赖性;在低频激振下桩周土弱化会降低楔形桩的水平阻抗,且随着振动频率的提高,弱化效应会提高阻抗的共振幅值;对于如砂砾、粗砂、细砂等渗透系数较大的饱和土应考虑土体中流体惯性效应对楔形水平振动阻抗的影响;对于桩身长径比小且高频振动的楔形桩,有必要采用可以考虑桩身转动惯量及剪切效应的 Timoshenko 梁模型描述桩身水平振动。

    Abstract:

    The lateral impedance of a tapered pile embedded in saturated soil medium is theoretically investigated with the consideration of soil disturbances in radial direction. To process the variation of pile radius and the disturbance of soil,the soil-pile system is discretized into axial thin layers and the soil layers are further discretized into radial annular layers. A lateral complex transfer model is developed to determine the reaction of the radially disturbed saturated soil layer to the pile segment based on the Biot’s theory and plane-strain assumption. The differential equation for the transverse vibration of pile segment in each soil layer is established based on the Timoshenko beam theory. The semi-analytical solution of the lateral impedance at the head of the tapered pile is derived by the transfer matrix method. Parametric analyses are performed to investigate the influence of the soil and pile properties on the lateral impedance. The results are concluded as follows:Increasing tapered angle can increase the impedance of tapered pile under the low excitation frequency. The impedance of the pile with a larger taped angle shows a stronger frequency-dependence with the increase of frequency. The weakening of soil around the pile reduces the lateral impedance of the tapered pile under low frequency. Weakening effect increases the resonance amplitude of the impedance with the increase of frequency. The soil medium with high permeability such as sandy and gravelly saturated soil has noticeable influence on the lateral impedance. It is necessary to consider the rotational inertia and shear deformation for tapered piles with small slenderness ratio and high excitation frequency.

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王 珏,项 颖,李振亚,王佳栋,周 叮.考虑桩周饱和土扰动效应的楔形桩水平振动阻抗[J].振动工程学报,2022,35(3):595~605.[WANG Jue, XIANG Ying, LI Zhen-ya, WANG Jia-dong, ZHOU Ding. Lateral vibration impedance of tapered pile embedded in saturated soil with radial disturbance[J]. Journal of Vibration Engineering,2022,35(3):595~605.]

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  • 在线发布日期: 2022-07-19
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