立体交叉隧道振动耦合区域岩土体状态的三维解析表征

    3D ANALYTICAL SOLUTIONS FOR GEOTECHNICAL STATE OF VIBRATION COUPLING REGIONS IN THE OVERLAPPED TUNNELS

    • 摘要: 车辆振动耦合作用定量描述是立体隧道运营风险控制的重点与难点之一。通过分析立体交叉隧道振动耦合作用影响因素,定量研究了立体交叉隧道振动耦合在空间与时间上的作用机制,并指出了其空间上的拓展性与时间上的延续性。 利用圆柱、圆锥的相贯线公式及其展开公式,给出了其耦合区域体积与边界。 结合Boussinesq解与扰动状态理论,推导了振动耦合区域岩土体扰动函数,给出了岩土体状态的位移与应力的三维解析表征。研究为立体交叉隧道工程设计及其工后运营稳定性控制的定量研究提供了新思路。

       

      Abstract: The quantitative description for coupling effect of vehicle vibration is one of the important issues and difficulties in risk control of overlapped tunnels operation. Based on the analysis for the influencing factors of the overlapped tunnels vibration coupling, the vibration coupling mechanism of the overlapped tunnel system after construction is quantitative analyzed in space and time. The expansibility in space and furtherance in time of the coupling mechanism are also pointed out. According to the intersecting line expansion formula of cylinder and cone, the quantitative description of the coupling regions are obtained. By applying Boussinesq solutions and disturbed state concept theory, the disturbing function of the operating tunnel is theoretically derived.3D analytical solutions for geotechnical state of vibration coupling regions in the overlapped tunnels is gotten. This research has a great significance for the engineering design and quantitative analysis of stability control of overlapped tunnels.

       

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