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管桩屏障在柱面波源下近场隔振效应的解析求解

巴振宁 刘世朋 吴孟桃 梁建文

巴振宁, 刘世朋, 吴孟桃, 梁建文. 管桩屏障在柱面波源下近场隔振效应的解析求解[J]. 工程力学, 2022, 39(8): 138-148, 184. doi: 10.6052/j.issn.1000-4750.2021.04.0300
引用本文: 巴振宁, 刘世朋, 吴孟桃, 梁建文. 管桩屏障在柱面波源下近场隔振效应的解析求解[J]. 工程力学, 2022, 39(8): 138-148, 184. doi: 10.6052/j.issn.1000-4750.2021.04.0300
BA Zhen-ning, LIU Shi-peng, WU Meng-tao, LIANG Jian-wen. ANALYTICAL SOLUTION OF THE NEAR FIELD VIBRATION ISOLATION EFFECT OF PIPE PILE BARRIERS UNDER A CYLINDRICAL WAVE SOURCE[J]. Engineering Mechanics, 2022, 39(8): 138-148, 184. doi: 10.6052/j.issn.1000-4750.2021.04.0300
Citation: BA Zhen-ning, LIU Shi-peng, WU Meng-tao, LIANG Jian-wen. ANALYTICAL SOLUTION OF THE NEAR FIELD VIBRATION ISOLATION EFFECT OF PIPE PILE BARRIERS UNDER A CYLINDRICAL WAVE SOURCE[J]. Engineering Mechanics, 2022, 39(8): 138-148, 184. doi: 10.6052/j.issn.1000-4750.2021.04.0300

管桩屏障在柱面波源下近场隔振效应的解析求解

doi: 10.6052/j.issn.1000-4750.2021.04.0300
基金项目: 国家自然科学基金项目(51778413,51978462)
详细信息
    作者简介:

    刘世朋(1997−),男,山东人,硕士生,主要从事地震工程与工程波动方面的研究(E-mail: lspmhyk@126.com)

    吴孟桃(1993−),男,四川人,博士生,主要从事地震工程与工程波动方面的研究(E-mail: wumengtao@tju.edu.cn)

    梁建文(1965−),男,河北人,教授,博士,博导,主要从事地震工程与工程波动方面的研究(E-mail: liang@tju.edu.cn)

    通讯作者:

    巴振宁(1980−),男,山东人,教授,博士,博导,主要从事地震工程与工程波动方面的研究(E-mail: bazhenning_001@163.com)

  • 中图分类号: TU473

ANALYTICAL SOLUTION OF THE NEAR FIELD VIBRATION ISOLATION EFFECT OF PIPE PILE BARRIERS UNDER A CYLINDRICAL WAVE SOURCE

  • 摘要: 基于波函数展开法表示柱面波源自由场,首次提出了一种求解柱面波源下管桩屏障对弹性波隔振效应的解析方法。方法首先考虑柱面波源与管桩屏障的位置关系,采用波函数展开法对入射柱面波进行了0阶Hankel展开表示,并采用任意坐标系间变换的Graf加法定理在任意桩体坐标系中表示,将入射波场和散射波场叠加后通过满足所有桩体的边界条件以求解所有桩体的散射波场。该解析方法分析了柱面波源入射下群桩屏障的隔振效果,首次在排桩隔振问题中考虑了入射波曲率的影响,为柱面波的散射问题提供了理论解答。该文重点讨论了入射波曲率、管桩个数和桩排数等因素对管桩隔振效果的影响,结果表明:整体上管桩屏障对柱面P波的隔振效果优于柱面SV波;柱面波源距离管桩屏障更近时排桩后场地的位移反应显著增大;相比平面波,柱面波源作用下排桩数量的提升对隔振效果的影响较小;三排管桩屏障比两排管桩屏障隔振效果更强,更宜采用三排管桩屏障进行柱面波源的隔振。
  • 图  1  管桩屏障对柱面P波、SV波的散射分析模型

    Figure  1.  Analysis model of P and SV wave scattering by pipe pile barrier

    图  2  任意两个坐标系间的内域Graf加法公式形式

    Figure  2.  Form of Graf addition formula in internal domain between any two coordinate systems

    图  3  与文献[25]结果对比

    Figure  3.  Comparison with result of reference [25]

    图  4  与文献[17]结果对比

    Figure  4.  Comparison with result of reference [17]

    图  5  与文献[26]结果对比

    Figure  5.  Comparison with result of reference [26]

    图  6  柱面P波入射时管桩隔振频谱图

    Figure  6.  Spectra of pipe pile vibration isolation under cylindrical P-wave incidence

    图  7  柱面SV波入射时管桩隔振频谱图

    Figure  7.  Spectra of pipe pile vibration isolation under cylindrical SV-wave incidence

    图  8  柱面P波下不同入射波曲率的位移等值线图

    Figure  8.  Displacement contour map of different incident wave curvatures under cylindrical P-waves

    图  9  柱面SV波下不同入射波曲率的位移等值线图

    Figure  9.  Displacement contour map of different incident wave curvatures under cylindrical SV-waves

    图  10  桩个数对排桩隔振效果影响的位移等值线图

    Figure  10.  Displacement contour map of influence of pile number on vibration isolation effect of row piles

    图  11  桩排数对排桩隔振效果影响的位移等值线图

    Figure  11.  Displacement contour map of influence of pile row number on vibration isolation effect of pile row

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出版历程
  • 收稿日期:  2021-04-20
  • 修回日期:  2021-08-21
  • 网络出版日期:  2022-05-06
  • 刊出日期:  2022-08-01

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