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Anti-plane dynamic response of a non-circular tunnel with imperfect interface in anisotropic rock mass

机译:各向异性岩体中具有非理想界面的非圆形隧道的反平面动力响应

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In anisotropic rock mass, the dynamic response of a non-circular tunnel with imperfect interface is theoretically presented under an incidence of an anti-plane SH wave. For the anti-plane problem in anisotropic medium, three elastic constants can describe the characteristics of medium anisotropy according to the generalized Hooke's Law. The wave function expansion method and the complex function are applied to express the wave fields with three unknown coefficients. By introducing the spring elastic model, the imperfect boundary condition around the tunnel lining can be satisfied to determine the coefficients. In numerical examples, effects of rock anisotropy and imperfect interface around the tunnel lining are discussed in detail, accompanied with incident angle and wave frequency. Analytical solutions show that both rock anisotropy and interface have considerable influence on the dynamic response of underground structures, which should be paid attention to for the design and construction of deep underground tunnels.
机译:在各向异性岩体中,在反平面SH波的入射下,理论上给出了界面不完善的非圆形隧道的动力响应。对于各向异性介质中的反平面问题,根据广义的胡克定律,三个弹性常数可以描述介质各向异性的特征。应用波函数展开法和复函数来表示具有三个未知系数的波场。通过引入弹簧弹性模型,可以满足隧道衬砌周围边界条件的不完善,从而确定系数。在数值示例中,详细讨论了岩石各向异性和隧道衬砌周围不完美界面的影响,以及入射角和波频率。解析解表明,岩石的各向异性和界面对地下结构的动力响应都有相当大的影响,深层地下隧道的设计和施工应注意这一点。

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