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付鹏程, 吴君涛, 易恩泽, 王奎华, 张智卿, 汤旅军. 竖向振动基桩周围饱和土动态响应研究[J]. 岩土工程学报. DOI: 10.11779/CJGE20240531
引用本文: 付鹏程, 吴君涛, 易恩泽, 王奎华, 张智卿, 汤旅军. 竖向振动基桩周围饱和土动态响应研究[J]. 岩土工程学报. DOI: 10.11779/CJGE20240531
Analytical study on dynamic response of saturated soil around vertical vibrating foundation pile[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20240531
Citation: Analytical study on dynamic response of saturated soil around vertical vibrating foundation pile[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20240531

竖向振动基桩周围饱和土动态响应研究

Analytical study on dynamic response of saturated soil around vertical vibrating foundation pile

  • 摘要: 基于Biot饱和多孔介质理论建立竖向激励作用下桩-饱和土耦合振动模型,研究三维轴对称条件下桩周饱和土振动响应规律。通过引入势函数并采用算子分解法及分离变量法,结合桩土耦合振动边界条件,求解得到饱和土与超静孔隙水压动态响应解析解。在退化工况下,本文解析解计算结果与既有桩周弹性介质土的动力响应结果几乎一致。基于经验证后的解析解,开展弹性波在完全饱和土中传播机理的研究。通过场地土位置-时间-响应关系,可明确观察到饱和土中存在的快纵波(P1波)与剪切波(S波)。对不同工况下的桩-饱和土耦合系统进行参数分析,得到桩周饱和土的波动响应规律,其能够对基础减隔振以及桩基工程检测提供工程指导以及理论支撑。

     

    Abstract: A coupled pile-saturated soil model is considered to investigate the response of saturated soil under three-dimensional axisymmetric conditions based on Biot's theory of saturated porous media. Combined with the pile-soil coupling vibration boundary conditions, an analytical solution in the frequency domain for the saturated soil and the resulting pore water pressure is derived. This is achieved through the introduction of potential functions and the application of operator decomposition and separation of variables methods. The derived solutions are compared with existing dynamic response results for elastic soil surrounding a vibrating pile. The wave propagation mechanism in fully saturated soil is investigated based on the analytical solution which has been verified. The analysis reveals the presence of fast longitudinal waves (P1 waves) and shear waves (S waves), as evidenced by three-dimensional position-time-response plots. Further parameter analysis under varying operational conditions elucidates the fluctuation response characteristics of the saturated soil around the pile. The findings provide valuable insights and have significant implications for engineering practice.

     

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