【摘要】 目的：文章提出一种将隧道衬砌环现场监测位移分解为纵向错台、环向转动和椭圆变形三种成分的新方法，并基于此建议设计相应的监测点布置方案。该方法基于监测数据的反馈分析，更贴近工程实际。研究将其应用于深圳地铁工程，揭示不同穿越角度下既有隧道沉降、转动和椭圆变形的演变规律，为隧道结构安全评估和数字化监测提供理论。创新点：提出一种基于监测数据反馈的位移分解方法，将隧道衬砌复杂位移分解为纵向错台、环向转动和椭圆变形三种分量，并配套相应的监测点布置方案。通过应用于深圳地铁工程，揭示了不同穿越角度下各变形分量的演变规律，为隧道结构安全评估与数字化实时监测提供了新途径。方法：1.该分解方法假设衬砌环的转动角度与距下穿中心的距离呈正弦函数关系，且纵向变形连续，并忽略环内纵缝变形的影响。通过建立变形-转动协调方程和z向位移差分解方程组，依次计算衬砌环的转动角度；随后从轨道监测点平均位移中扣除转动影响，得到错台量；2.从总位移中剔除转动和错台，获得椭圆变形分量，并利用MATLAB拟合得到椭圆度。结论：1. z向沉降是衬砌位移的主要表现形式，其最大值随交角增大而线性增加，但影响范围非线性减小；2.衬砌环转动角度在90°下穿时达到最大，且随交角减小而非线性减小，在空间上表现为先增后减，在时间上呈先快后缓的趋势；3.椭圆度在小夹角下呈现先快速增长后波动稳定的特征，在大夹角下则为快速增长后平稳，且椭圆长轴方向始终指向新隧道开挖面；4.椭圆变形和错台是衬砌环位移的主要贡献因素，而椭圆变形的影响最为显著。更多还原

【Abstract】 A decomposition method is proposed to divide the field monitoring displacement of tunnel linings into different components induced by dislocation, rotation, and elliptical deformation of the lining rings. Based on this method, a corresponding tunnel lining monitoring plan is also suggested. The key principles of the decomposition are the continuity of longitudinal deformation, the sinusoidal functional relationship between the rotation angle and the longitudinal distance to the cross point, and neglecting the longitudinal joint deformation. The proposed decomposition method was successfully applied to a metro project in China, and the decomposed pattern laws were discussed. The decomposed data indicate that the displacement of the lining ring is primarily influenced by elliptical deformation and dislocation, with elliptical deformation having the strongest impact. Moreover, the z-direction displacement of the existing tunnels linearly increases with the crossing angle, whereas the affected zone decreases nonlinearly. As for the lining ring rotation angle, its maximum value occurs during a 90° undercrossing scenario, and the rotation angles decrease nonlinearly as the crossing angle diminishes. Furthermore, the rotation angle first increases and then decreases as the distance from the crossing center increases. Temporally, the rotation angles follow a pattern of initial increase followed by gradual reduction. Regarding the ellipticity, the ellipticity increases with the crossing angle but decreases with distance from the crossing center. The findings of this study contribute to improved knowledge of tunnel lining displacement composition and monitoring. Future integration of our computational approach with total station monitoring systems could enable real-time monitoring, calculation, and analysis in tunnel engineering applications.更多还原