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弧形侧向抗力法是三角形侧向抗力法的理论修正。考虑大直径隧道穿越松软、水下软塑、复合等实际地层的非线性特征,进行其侧向抗力的弧形修正。给出部分正弦分布侧向抗力法的理论推导及例证。在自由变形法(FFD法)基础上对比三角形与弧形分布侧向抗力影响下衬砌结构的内力,拓展理论应用的限制条件及范围,并讨论各侧向抗力法在实际复合地层中的适用性。对比南京地铁一号线实测与理论计算结果显示:单圆整体式衬砌采用弧形侧向抗力法进行内力计算的过程明确,理论结果的误差范围可适用于实例复合地层中的衬砌计算。该算例的应用为复合地层单圆隧道衬砌的工程设计提供内力极值的理论参考,弧形侧向抗力法对类似工程设计具有一定实用性。
Arc lateral resistance method is a theoretical modification of the triangle lateral resistance method. Considering the non-linear characteristics of large-diameter tunnel through soft, underwater soft plastic, composite and other actual strata, arc correction of its lateral resistance is carried out. The theoretical derivation and examples of the lateral resistance method of partial sine distribution are given. Based on the FFD method, the internal forces of the lining structure under the influence of the lateral resistance of the triangle and arc distribution are contrasted, and the limitations and scope of the theoretical application are expanded. The applicability of each lateral resistance method in the actual composite strata is also discussed . Comparison of Nanjing Metro Line 1 measured and theoretical calculations show that: the single circular monolithic lining using arc lateral resistance method of internal force calculation process is clear, the theoretical results of the error range can be applied to the case of composite strata lining calculation. The application of the example provides the theoretical reference for the internal force extreme value of engineering design of single-round tunnel lining in composite formation. The arc-shaped lateral resistance method has certain practicality for similar engineering design.