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曹小林, 周凤玺, 戴国亮. 水平荷载作用下饱和土与单桩的相互作用动力响应分析[J]. 岩土工程学报, 2023, 45(S2): 73-78. DOI: 10.11779/CJGE2023S20004
引用本文: 曹小林, 周凤玺, 戴国亮. 水平荷载作用下饱和土与单桩的相互作用动力响应分析[J]. 岩土工程学报, 2023, 45(S2): 73-78. DOI: 10.11779/CJGE2023S20004
CAO Xiaolin, ZHOU Fengxi, DAI Guoliang. Dynamic response analysis of saturated soils and single pile under horizontal loads[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(S2): 73-78. DOI: 10.11779/CJGE2023S20004
Citation: CAO Xiaolin, ZHOU Fengxi, DAI Guoliang. Dynamic response analysis of saturated soils and single pile under horizontal loads[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(S2): 73-78. DOI: 10.11779/CJGE2023S20004

水平荷载作用下饱和土与单桩的相互作用动力响应分析

Dynamic response analysis of saturated soils and single pile under horizontal loads

  • 摘要: 为了研究饱和土的特性对桩的水平动力刚度的影响,建立了饱和土与桩的相互作用计算模型。首先,基于饱和多孔介质的Biot理论,考虑土体的竖向位移和竖向应变的存在,使用Helmholtz分解定律引入势函数,得到饱和土的位移和应力的解析解。其次,利用饱和土与桩的相互作用关系,建立桩-饱和土耦合的振动微分方程,进而得到桩的阻抗和阻尼的解析解。通过数值算例,与现有计算模型进行比较,验证了本文计算模型的结果;并通过参数分析,研究了饱和土的孔隙率、压缩系数和液体体积模量对桩头的动力阻抗及其对应的阻尼的影响。研究发现饱和土的孔隙率、压缩系数和液体体积模量对桩头的动力刚度及其对应的阻尼影响较大。

     

    Abstract: To study the influences of the characteristics of saturated soils on the horizontal dynamic impedance of a pile, a computational model for the interaction between the saturated soils and the pile is established. First, based on the Biot theory of saturated porous media, considering the existence of the vertical displacement and vertical strain of the soil, using the Helmholtz decomposition law to introduce a potential function, the analytical solutions for the displacement and stress of the saturated soils are obtained. Secondly, using the interaction between the saturated soils and the pile, the vibration differential equation for the pile-saturated soil coupling is established, and then the analytical solutions for the impedance and damping of the pile are obtained. Through a numerical example, compared with those of the existing models, the results of the proposed model are verified. Through the parameter analysis, the influences of porosity, compressibility, and liquid bulk modulus of the saturated soil on the dynamic impedance of the pile head are studied and its corresponding damping effects. It is found that the porosity, compressibility and liquid bulk modulus of the saturated soils have a great influence on the dynamic impedance of the pile head and its corresponding.

     

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