反平面线源荷载作用下浅埋圆形非完全粘结隧道动力响应研究

李志文 李潜 徐斌 李晓锋 李海波

李志文, 李潜, 徐斌, 李晓锋, 李海波. 反平面线源荷载作用下浅埋圆形非完全粘结隧道动力响应研究[J]. 爆炸与冲击. doi: 10.11883/bzycj-2023-0454
引用本文: 李志文, 李潜, 徐斌, 李晓锋, 李海波. 反平面线源荷载作用下浅埋圆形非完全粘结隧道动力响应研究[J]. 爆炸与冲击. doi: 10.11883/bzycj-2023-0454
LI Zhiwen, LI Qian, XU Bin, LI Xiaofeng, LI Haibo. Research on the dynamic response of shallow-buried circular non-complete bonded tunnels under anti-plane line source loading[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2023-0454
Citation: LI Zhiwen, LI Qian, XU Bin, LI Xiaofeng, LI Haibo. Research on the dynamic response of shallow-buried circular non-complete bonded tunnels under anti-plane line source loading[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2023-0454

反平面线源荷载作用下浅埋圆形非完全粘结隧道动力响应研究

doi: 10.11883/bzycj-2023-0454
基金项目: 江西省教育厅科学技术研究项目(GJJ2201511);江西省2017年优势科技创新团队重点项目(“5511”工程专项)(20171BCB19001)
详细信息
    作者简介:

    李志文(1992- ),男,博士,讲师,2021994785@nit.edu.cn

    通讯作者:

    李晓锋(1990- ),男,博士,研究员,xfli@whrsm.ac.cn

  • 中图分类号: O347.3

Research on the dynamic response of shallow-buried circular non-complete bonded tunnels under anti-plane line source loading

  • 摘要: 为加深理解波源距离和非完全粘结对地震波散射的影响规律,结合位移不连续模型、波函数展开法、Graf公式和镜像方法推导了反平面线源荷载下浅埋圆形非完全粘结隧道动力响应的级数解,并通过衬砌内外边界条件残余量与级数解截断项数的关系校验了所得解的精度。通过对该级数解进行参数分析,系统地探讨了衬砌与围岩的接触刚度、衬砌模量、衬砌厚度、隧道埋深和波源距离等因素对衬砌内表面位移和周向剪应力的影响。结果表明:衬砌与围岩的接触刚度对隧道的动力响应具有显著的影响,尤其在某些较小接触刚度情况下隧道动力响应幅值可能非常大;增大衬砌模量会减小位移,但同时会导致周向剪应力增加;增大衬砌厚度能同时减小位移和周向剪应力;增大隧道埋深会使最大位移和周向剪应力向隧道拱顶附近移动;增大线源与隧道的水平距离会使隧道背波侧相对幅值增大。
  • 图  1  理论模型示意图

    Figure  1.  Schematic diagram of theoretical model

    图  2  η = 1.0和Ks/μ1 = 1.0 m−1时衬砌内外边界的位移和应力残差与截断项数N之间的关系

    Figure  2.  The relationship between the displacement and stress residuals of the inner and outer boundaries of the lining and the number of truncated terms N when η=1.0 and Ks/μ1=1.0 m−1

    图  3  η = 3.0和Ks/μ1 = 0.1 m−1时衬砌内外边界的位移和应力残差与截断项数N之间的关系

    Figure  3.  The relationship between the displacement and stress residuals of the inner and outer boundaries of the lining and the number of truncated terms N when η=3.0 and Ks/μ1=0.1 m−1

    图  4  衬砌内表面归一化位移和周向剪应力与衬砌和围岩的接触刚度的关系

    Figure  4.  The relationship between normalized displacement and circumferential shear stress on the inner surface of lining and the contact stiffness between lining and surrounding rock

    图  5  衬砌内表面归一化位移和周向剪应力与衬砌模量的关系

    Figure  5.  The relationship between normalized displacement and circumferential shear stress on the inner surface of lining and lining modulus

    图  6  衬砌内表面归一化位移和周向剪应力与衬砌厚度的关系

    Figure  6.  The relationship between normalized displacement and circumferential shear stress on the inner surface of lining and lining thickness

    图  7  衬砌内表面归一化位移和周向剪应力与隧道埋深的关系

    Figure  7.  The relationship between normalized displacement and circumferential shear stress on the inner surface of lining and tunnel burial depth

    图  8  衬砌内表面归一化位移和周向剪应力与线源距离的关系

    Figure  8.  The relationship between normalized displacement and circumferential shear stress on the inner surface of the lining and the distance from the line source

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出版历程
  • 收稿日期:  2023-12-19
  • 修回日期:  2024-04-16
  • 网络出版日期:  2024-04-19

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