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考虑横向惯性效应的非饱和土中单桩的竖向动力响应

郭鹏飞 周顺华 杨龙才 肖军华

郭鹏飞, 周顺华, 杨龙才, 肖军华. 考虑横向惯性效应的非饱和土中单桩的竖向动力响应[J]. 力学学报, 2017, 49(2): 344-358. doi: 10.6052/0459-1879-16-286
引用本文: 郭鹏飞, 周顺华, 杨龙才, 肖军华. 考虑横向惯性效应的非饱和土中单桩的竖向动力响应[J]. 力学学报, 2017, 49(2): 344-358. doi: 10.6052/0459-1879-16-286
Guo Pengfei, Zhou Shunhua, Yang Longcai, Xiao Junhua. ANALYTICAL SOLUTION OF THE VERTICAL DYNAMIC RESPONSE OF ROCK-SOCKED PILE CONSIDERING TRANSVERSE INERTIAL EFFECT IN UNSATURATED SOIL[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(2): 344-358. doi: 10.6052/0459-1879-16-286
Citation: Guo Pengfei, Zhou Shunhua, Yang Longcai, Xiao Junhua. ANALYTICAL SOLUTION OF THE VERTICAL DYNAMIC RESPONSE OF ROCK-SOCKED PILE CONSIDERING TRANSVERSE INERTIAL EFFECT IN UNSATURATED SOIL[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(2): 344-358. doi: 10.6052/0459-1879-16-286

考虑横向惯性效应的非饱和土中单桩的竖向动力响应

doi: 10.6052/0459-1879-16-286
基金项目: 

国家自然科学基金资助项目 51478353

国家自然科学基金资助项目 41472247

详细信息
    通讯作者:

    2) 郭鹏飞, 博士研究生, 主要研究方向:桩基动力学.E-mail:tjdxgpf@163.com

  • 中图分类号: TU45

ANALYTICAL SOLUTION OF THE VERTICAL DYNAMIC RESPONSE OF ROCK-SOCKED PILE CONSIDERING TRANSVERSE INERTIAL EFFECT IN UNSATURATED SOIL

  • 摘要: 基于非饱和土的动力控制方程,考虑横向惯性效应,建立了三相非饱和介质中嵌岩桩的竖向动力响应连续介质模型,对桩侧非饱和土的动力控制方程进行Laplace变换,在频域内,通过引入势函数、算子分解等手段对控制方程进行解析,得到了桩侧土体剪应力及竖向振动位移的表达式.结合桩基的竖向振动方程及桩-土接触面的连续性条件,使桩土耦合振动系统得以解答,最终在频域内得到了桩顶复刚度、导纳、桩-土系统振动位移及应力的解析解,借助Laplace逆变换得到了半正弦激励载荷下桩顶的速度时程曲线.最后,通过算例分析验证了计算结果的准确性,分析了横向惯性、泊松比、饱和度、长径比、桩土模量比等因素对桩基动力响应的影响.结果表明:(1)单桩动刚度、阻尼、导纳等变量随频率变化发生周期性振荡,在桩基各阶固有频率处发生共振;(2)泊松比、饱和度、长径比、桩土模量比等因素对桩基的动力响应有较大影响,且频率越大,影响越明显;(3)泊松比越大,单桩动刚度、阻尼、导纳的波动幅值及对应的频率越小,桩顶时程曲线中的桩底反射信号越弱;(4)饱和度越大,对应各动力响应的波动幅值越大,且桩底反射信号的波峰越大.

     

  • 图  1  桩-土相互作用模型

    Figure  1.  The pile-soil model

    图  2  桩身泊松比对动力响应的影响

    Figure  2.  The effect of pile Poisson ratio on dynamic response

    图  3  饱和度对单桩动力响应的影响

    Figure  3.  The effect of saturation on dynamic response

    图  4  长径比对单桩动力响应的影响

    Figure  4.  The effect of pile length-diameter ratio on dynamic response

    图  5  桩土模量比对单桩动力响应的影响

    Figure  5.  The effect of pile-soil modulus ratio on dynamic response

    表  1  桩及桩周土物理力学性质

    Table  1.   Parameters of pile and soil

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出版历程
  • 收稿日期:  2016-10-17
  • 网络出版日期:  2017-01-04
  • 刊出日期:  2017-03-18

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