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Experimental and analytical study on longitudinal bending behavior of shield tunnel subjected to longitudinal axial forces

机译：竖向轴向力作用下盾构隧道纵向弯曲特性的试验与分析研究

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摘要

Longitudinal bending stiffness efficiency (LBSE) is a key parameter for analyzing longitudinal behavior of shield tunnel. The LBSE is defined as the deformation ratio of a uniform beam to the corresponding segmented non-uniform beam when subjected to the same load. Traditionally, the LBSE is treated as a constant, which can be evaluated by various longitudinal equivalent continuous models (LECMs). However, the effect of longitudinal axial forces (N) on the LBSE is often excluded. In this study, model tests are designed to investigate the LBSE subjected to longitudinal axial forces. The tests reveal that the LBSE is not a constant and it increases with the increasement of longitudinal axial forces. A regressed equation is obtained to revise the traditional LBSE based on the model test results. A modified LECM is proposed to calculate the LBSE, and the analytical results fit with the model tests well. The highlight of the proposed model is that the effect of longitudinal axial force is included. According to the analytical analysis, the LBSE is related to lambda ( =N.r/2M), in which r is distance from segment rings' center to bolts, N is longitudinal axial force, and M is bending moment. When lambda = 0, the modified LECM reduces to the Shiba-LECM. When lambda increases from 0 to 1, the LBSE increases from Shiba-LECM result to 100%. When lambda = 1, the LBSE remains 100%.
机译：纵向弯曲刚度效率（LBSE）是分析盾构隧道纵向行为的关键参数。 LBSE定义为均匀梁与相应分段非均匀梁在相同载荷下的变形率。传统上，LBSE被视为一个常数，可以通过各种纵向等效连续模型（LECM）对其进行评估。但是，通常不考虑纵向轴向力（N）对LBSE的影响。在这项研究中，模型测试旨在研究承受纵向轴向力的LBSE。试验表明，LBSE不是恒定的，并且随着纵向轴向力的增加而增加。根据模型测试结果，得到回归方程对传统的LBSE进行修正。提出了一种改进的LECM来计算LBSE，并且分析结果与模型测试非常吻合。该模型的亮点在于包括了纵向轴向力的影响。根据分析分析，LBSE与λ（= N.r / 2M）有关，其中r是段环中心到螺栓的距离，N是纵向轴向力，M是弯矩。当lambda = 0时，修改后的LECM减少为Shiba-LECM。当λ从0增加到1时，LBSE从Shiba-LECM结果增加到100％。当lambda> = 1时，LBSE保持为100％。

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