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A Complex Variable Solution for Lining Stress and Deformation in a Non-Circular Deep Tunnel II Practical Application and Verification

机译:非圆形深埋隧道衬砌变形的复杂变量解II实际应用与验证

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摘要

A new complex variable method is presented for stress and displacement problems in a non-circular deep tunnel with certain given boundary conditions at infinity. In order to overcome the complex problems caused by non-circular geometric configurations and the multiply-connected region, a complex variable method and continuity boundary conditions are used to determine stress and displacement within the tunnel lining and within the surrounding rock. The coefficients in the conformal mapping function and stress functions are determined by the optimal design and complex variable method, respectively. The new method is validated by FLAC3D finite difference software through an example. Both the new method and the numerical simulation obtained similar results for the stress concentration and the minimum radial displacement occurred at a similar place in the tunnel. It is demonstrated that the new complex variable method is reliable and reasonable. The new method also provides another way to solve non-circular tunnel excavation problems in a faster and more accurate way.
机译:针对具有一定边界条件的非圆形深埋隧道中的应力和位移问题,提出了一种新的复变量方法。为了克服由非圆形几何构型和多重连接区域引起的复杂问题,使用复杂变量法和连续性边界条件确定隧道衬砌内和围岩内的应力和位移。共形映射函数和应力函数中的系数分别通过最佳设计和复杂变量法确定。通过实例,通过FLAC3D有限差分软件对该新方法进行了验证。新方法和数值模拟都获得了相似的应力集中结果,并且最小的径向位移发生在隧道的相似位置。实践证明,新的复变量法是可靠,合理的。新方法还提供了另一种以更快,更准确的方式解决非圆形隧道开挖问题的方法。

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