The existing analytical models for umbrella arch method(UAM)based on elastic foundation beams often overlook the influence of the surrounding soil beyond the beam edges on the shear stresses acting on the beam.Consequ...The existing analytical models for umbrella arch method(UAM)based on elastic foundation beams often overlook the influence of the surrounding soil beyond the beam edges on the shear stresses acting on the beam.Consequently,such models fail to adequately reflect the continuity characteristics of soil deformation.Leveraging the Pasternak foundation-Euler beam model,this study considers the generalized shear force on the beam to account for the influence of soil outside the beam ends on the shear stress.An analytical model for the deformation and internal forces of finite-length beams subjected to arbitrary loads is derived based on the initial parameter method under various conditions.The mechanical model of the elastic foundation beam for advanced umbrella arch under typical tunnel excavation cycles is established,yielding analytical solutions for the longitudinal response of the umbrella arch.The reliability of the analytical model is verified with the existing test data.The improved model addresses anomalies in existing models,such as abnormal upward deformation in the loosened segment and maximum deflection occurring within the soil mass.Additionally,dimensionless characteristic parameters reflecting the relative stiffness between the umbrella arch structure and the foundation soil are proposed.Results indicate that the magnitude of soil characteristic parameters significantly influences the deformation and internal forces of the umbrella arch.Within common ranges of soil values,the maximum deformation and internal forces of the umbrella arch under semi-logarithmic coordinates exhibit nearly linear decay with decreasing soil characteristic parameters.The impact of tunnel excavation height on the stress of unsupported sections of the umbrella arch is minor,but it is more significant for umbrella arch buried within the soil mass.Conversely,the influence of tunnel excavation advance on the umbrella arch is opposite.展开更多
断层错动诱发上覆土体破坏对跨越断层的埋地管道结构安全构成巨大威胁,是复杂环境地下管线设计中不可忽略的场地因素。既有成果较少涉及正断层和逆断层错动影响下的解析解分析,且针对断层-管道相互作用的理论研究一般将管道结构视为连...断层错动诱发上覆土体破坏对跨越断层的埋地管道结构安全构成巨大威胁,是复杂环境地下管线设计中不可忽略的场地因素。既有成果较少涉及正断层和逆断层错动影响下的解析解分析,且针对断层-管道相互作用的理论研究一般将管道结构视为连续管道,较少考虑管道接口的影响。首先,在简化SSR(静止区stationaryzone,剪切区shearingzone,刚体区rigid body zone)土体变形模型的基础上,结合erf函数和erfc函数,得到了正断层和逆断层错动影响下的土体位移曲线;其次,引入双参数Pasternak地基模型,对管道微元进行受力分析,借助有限差分法求解得到埋地管道结构的变形和内力;最后,将理论解析解和已有的试验结果及数值模拟结果进行对比验证,获得了较好的一致性。此外,针对断层倾角、断层与管道交点位置和接口转动刚度等关键物理特征参数进行了敏感性分析。结果表明:断层倾角会改变管道位移曲线和轴向应力曲线位置,但其位移最大值和轴向应力最大值基本一致,而断层与管道交点位置不仅会改变管道位移曲线和轴向应力曲线形状,其轴向应力最大值也将发生改变;随着接口转动刚度增大,管道最大轴向应力值随之增大,当接口转动刚度足够大时,可将非连续管道视作连续管道进行计算。展开更多
基金Projects(52008403,52378421)supported by the National Natural Science Foundation of ChinaProject(2022-Key-10)supported by the Science and Technology Research and Development Program Project of China Railway Group LimitedProject(202207)supported by the Hunan Provincial Transportation Science and Technology,China。
文摘The existing analytical models for umbrella arch method(UAM)based on elastic foundation beams often overlook the influence of the surrounding soil beyond the beam edges on the shear stresses acting on the beam.Consequently,such models fail to adequately reflect the continuity characteristics of soil deformation.Leveraging the Pasternak foundation-Euler beam model,this study considers the generalized shear force on the beam to account for the influence of soil outside the beam ends on the shear stress.An analytical model for the deformation and internal forces of finite-length beams subjected to arbitrary loads is derived based on the initial parameter method under various conditions.The mechanical model of the elastic foundation beam for advanced umbrella arch under typical tunnel excavation cycles is established,yielding analytical solutions for the longitudinal response of the umbrella arch.The reliability of the analytical model is verified with the existing test data.The improved model addresses anomalies in existing models,such as abnormal upward deformation in the loosened segment and maximum deflection occurring within the soil mass.Additionally,dimensionless characteristic parameters reflecting the relative stiffness between the umbrella arch structure and the foundation soil are proposed.Results indicate that the magnitude of soil characteristic parameters significantly influences the deformation and internal forces of the umbrella arch.Within common ranges of soil values,the maximum deformation and internal forces of the umbrella arch under semi-logarithmic coordinates exhibit nearly linear decay with decreasing soil characteristic parameters.The impact of tunnel excavation height on the stress of unsupported sections of the umbrella arch is minor,but it is more significant for umbrella arch buried within the soil mass.Conversely,the influence of tunnel excavation advance on the umbrella arch is opposite.
文摘断层错动诱发上覆土体破坏对跨越断层的埋地管道结构安全构成巨大威胁,是复杂环境地下管线设计中不可忽略的场地因素。既有成果较少涉及正断层和逆断层错动影响下的解析解分析,且针对断层-管道相互作用的理论研究一般将管道结构视为连续管道,较少考虑管道接口的影响。首先,在简化SSR(静止区stationaryzone,剪切区shearingzone,刚体区rigid body zone)土体变形模型的基础上,结合erf函数和erfc函数,得到了正断层和逆断层错动影响下的土体位移曲线;其次,引入双参数Pasternak地基模型,对管道微元进行受力分析,借助有限差分法求解得到埋地管道结构的变形和内力;最后,将理论解析解和已有的试验结果及数值模拟结果进行对比验证,获得了较好的一致性。此外,针对断层倾角、断层与管道交点位置和接口转动刚度等关键物理特征参数进行了敏感性分析。结果表明:断层倾角会改变管道位移曲线和轴向应力曲线位置,但其位移最大值和轴向应力最大值基本一致,而断层与管道交点位置不仅会改变管道位移曲线和轴向应力曲线形状,其轴向应力最大值也将发生改变;随着接口转动刚度增大,管道最大轴向应力值随之增大,当接口转动刚度足够大时,可将非连续管道视作连续管道进行计算。
