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竖向地震作用下饱和土-桩体系的耦合动力响应研究

张石平 陈曦菲 姚绍伟 邓晨

张石平, 陈曦菲, 姚绍伟, 邓晨. 竖向地震作用下饱和土-桩体系的耦合动力响应研究[J]. 工程力学, 2023, 40(9): 81-97. doi: 10.6052/j.issn.1000-4750.2022.01.0024
引用本文: 张石平, 陈曦菲, 姚绍伟, 邓晨. 竖向地震作用下饱和土-桩体系的耦合动力响应研究[J]. 工程力学, 2023, 40(9): 81-97. doi: 10.6052/j.issn.1000-4750.2022.01.0024
ZHANG Shi-ping, CHEN Xi-fei, YAO Shao-wei, DENG Chen. COUPLED DYNAMIC RESPONSES BETWEEN SATURATED SOIL AND PILE SYSTEMS UNDER VERTICAL EARTHQUAKES[J]. Engineering Mechanics, 2023, 40(9): 81-97. doi: 10.6052/j.issn.1000-4750.2022.01.0024
Citation: ZHANG Shi-ping, CHEN Xi-fei, YAO Shao-wei, DENG Chen. COUPLED DYNAMIC RESPONSES BETWEEN SATURATED SOIL AND PILE SYSTEMS UNDER VERTICAL EARTHQUAKES[J]. Engineering Mechanics, 2023, 40(9): 81-97. doi: 10.6052/j.issn.1000-4750.2022.01.0024

竖向地震作用下饱和土-桩体系的耦合动力响应研究

doi: 10.6052/j.issn.1000-4750.2022.01.0024
基金项目: 国家重点研发计划项目(2021YFB2600900);国家自然科学基金项目(52278434,51908070);湖南省科技创新计划资助项目(2022RC1180);湖南省自然科学基金项目(2020JJ5596);公路养护技术国家工程研究中心开放基金项目(kfj190103);湖南省大学生创新创业训练计划项目(S202113635007);长沙理工大学研究生建设项目(CLSJCX22012)
详细信息
    作者简介:

    张石平(1988−),男,云南红河人,副教授,博士,主要从事土-结构相互作用方面的研究(E-mail: zhangshipingwy@126.com)

    陈曦菲(1998−),女,湖北宜昌人,硕士生,主要从事桩基动力学方面的研究(E-mail: 602794436@qq.com)

    姚绍伟(1987−),男,湖南邵阳人,本科生,主要从事桩基动力学方面的研究(E-mail: 549731766@qq.com)

    通讯作者:

    邓 晨(1999−),男,湖南长沙人,硕士生,主要从事桩基动力学方面的研究(E-mail: zjhseu@126.com)

  • 中图分类号: TU43

COUPLED DYNAMIC RESPONSES BETWEEN SATURATED SOIL AND PILE SYSTEMS UNDER VERTICAL EARTHQUAKES

  • 摘要: 为揭示竖向地震荷载作用下桩土系统的耦合动力特性,首先将基桩视为具有径向和竖向变形的三维轴对称杆件,采用Hamilton变分原理建立其运动方程,而桩周土体视为充满流体的三维多孔连续介质,采用Boer多孔弹性介质模型描述其动力学行为。在不引入势函数的情况下,先将土骨架的体积应变和孔隙流体压力作为中间变量处理土体运动方程,然后采用分离变量法求解土体和基桩的运动方程,进而结合桩-土系统的边界和连续条件,推导得到桩顶的运动放大系数和运动响应因子解析解。通过与相应有限元模型数值计算结果及已有解的比较,验证所提出解的正确性。最后分析桩土主要参数对桩土耦合系统动力特性的影响,得到了一些有意义的结论,可为相关工程实践提供参考。研究结果表明:当桩长径比较小时,基桩的径向变形对饱和土-桩系统的动力响应存在显著影响,忽略基桩的径向变形,将高估桩土系统的共振行为;对于单相土而言,在低频阶段,桩顶响应相对于自由场表面响应偏小,在高频阶段,其随着桩长径比的增大而偏大。桩土系统的共振行为发生于激振频率接近于土体自由场的自振频率。随着桩长径比的增大,桩土系统对基岩运动的放大效应呈增大趋势;对于饱和土而言,饱和土层表面的响应与基岩运动基本上一致。随着桩长径比的增大,桩土系统对基岩运动的放大效应呈减小趋势。
  • 图  1  基岩竖向稳态运动作用下饱和土-桩体系相互作用模型

    Figure  1.  Interaction model of a saturated soil-pile system under the vertical steady-state movement of bedrock

    图  2  轴对称荷载作用下二维实体桩的力学模型

    Figure  2.  Mechanical model of a two-dimensional solid pile under axisymmetric loads

    图  3  本文退化一维桩解与已有解[28]的比较

    Figure  3.  Comparison between the degenerated one-dimensional pile solution in this paper and the existing solution[28]

    图  4  桩土系统轴对称ADINA有限元模型

    Figure  4.  Axisymmetric ADINA finite element model of the pile-soil system

    图  5  本文解与ADINA有限元计算结果的比较

    Figure  5.  Comparison between the proposed solution and ADINA finite element calculation results

    图  6  本文解场变量沿桩身的分布

    Figure  6.  Distribution of the field variables in the present solution along the pile shaft

    图  7  二维桩、一维桩-饱和土系统的运动放大系数

    Figure  7.  Kinematic amplification coefficient of two-dimensional pile and one-dimensional pile-saturated soil system

    图  8  二维桩-单相土系统的运动响应因子

    Figure  8.  Kinematic response factor of two-dimensional pile and single-phase soil system

    图  9  二维桩-单相土系统的运动放大系数

    Figure  9.  Kinematic amplification coefficient of two-dimensional pile and single-phase soil system

    图  10  二维桩-饱和土系统的运动放大系数和运动响应因子

    Figure  10.  Kinematic amplification coefficient and kinematic response factor of two-dimensional pile and saturated soil system

    表  1  桩土参数

    Table  1.   Pile and soil parameters

    类别 参数 取值
    基桩 桩长L/m 10.00
    桩半径r0/m 0.25
    桩弹性模量Ep/GPa 20.00
    桩密度ρ p/(kg/m3) 2500.00
    桩泊松比υp 0.10
    饱和土 土弹性模量Es/MPa 20.00
    土泊松比υs 0.20
    土阻尼比ηs 0.05
    土骨架实际密度ρsR/(kg/m3) 1800.00
    孔隙流体实际密度ρfR/(kg/m3) 1000.00
    孔隙流体体积分数nf 0.40
    Darcy渗透系数kf/(mm/s) 0.10
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  • 收稿日期:  2022-01-06
  • 修回日期:  2022-05-07
  • 网络出版日期:  2022-05-12
  • 刊出日期:  2023-09-06

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