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Dynamic Response of Underground Circular Lining Tunnels Subjected to Incident P Waves

机译：入射P波作用下地下圆形衬砌隧道的动力响应

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摘要

Dynamic stress concentration in tunnels and underground structures during earthquakes often leads to serious structural damage. A series solution of wave equation for dynamic response of underground circular lining tunnels subjected to incident plane P waves is presented by Fourier-Bessel series expansion method in this paper. The deformation and stress fields of the whole medium of surrounding rock and tunnel were obtained by solving the equations of seismic wave propagation in an elastic half space. Based on the assumption of a large circular arc, a series of solutions for dynamic stress were deduced by using a wave function expansion approach for a circular lining tunnel in an elastic half space rock medium subjected to incident plane P waves. Then, the dynamic response of the circular lining tunnel was obtained by solving a series of algebraic equations after imposing its boundary conditions for displacement and stress of the circular lining tunnel. The effects of different factors on circular lining rock tunnels, including incident frequency, incident angle, buried depth, rock conditions, and lining stiffness, were derived and several application examples are presented. The results may provide a good reference for studies on the dynamic response and aseismic design of tunnels and underground structures.
机译：地震期间隧道和地下结构中的动态应力集中通常会导致严重的结构破坏。通过傅里叶-贝塞尔级数展开法，提出了地下圆形衬砌隧道受平面P波动力响应的波动方程系列解。通过求解弹性半空间中地震波的传播方程，获得了围岩和隧道整个介质的变形场和应力场。基于大圆弧的假设，利用波动函数展开法，对入射平面P波作用下的弹性半空间岩石介质中的圆形衬砌隧道，采用一系列的动应力解。然后，在施加圆形衬砌隧道位移和应力边界条件后，通过求解一系列代数方程，获得圆形衬砌隧道的动力响应。推导了不同的因素对圆形衬砌隧道的影响，包括入射频率，入射角，埋深，岩石条件和衬砌刚度，并给出了几个应用实例。研究结果可为隧道和地下结构的动力响应和抗震设计研究提供参考。

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  • 来源
    《Mathematical Problems in Engineering》 |2014年第21期|297424.1-297424.11|共11页
  • 作者

    Li Tianbin; Xu Jingsong; Xu Hua; Wang Yingjun;

  • 作者单位

    Chengdu Univ Technol, State Key Lab Geohazard Prevent & Geoenvironm Pro, Chengdu 610059, Sichuan, Peoples R China.;

    Southwest Jiaotong Univ, Sch Civil Engn, Minist Educ, Key Lab Transportat Tunnel Engn, Chengdu 610031, Sichuan, Peoples R China.;

    Chengdu Univ Technol, State Key Lab Geohazard Prevent & Geoenvironm Pro, Chengdu 610059, Sichuan, Peoples R China.;

    Univ Calif San Diego, Dept Struct Engn, La Jolla, CA 92093 USA.;

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