Abstract To investigate the influence of pile foundation loading on metro shield tunnel structures, a differential equilibrium equation for the circumferential shear angle of the ring structure was established based on the geometric equation of circular arc microelements, physical equations, and static equilibrium equations. This reveals the differential relationship between the shear angle and circumferential/radial deformations. By incorporating the modified routine method to account for joint damage reduction, analytical solutions for stress, shear force, axial force, and bending moment of the ring structure under concentrated loading were derived. The accuracy of the theoretical model was
validated using field measurement data from a metro engineering case. Furthermore, parametric analysis was conducted to explore the variation patterns of structural responses under different loading conditions. The results indicate that axial force, bending moment, and shear force all increase significantly with external load. The shear force exhibits positive and negative peaks at the crown and invert of the ring, while reaching a positive peak at the waist.Additionally, bending moment, axial force, and shear force all approach zero at positions of ±135° and ±45°. The research provides a theoretical basis for load response analysis and design optimization of shield tunnel structures.
Abstract：
To investigate the influence of pile foundation loading on metro shield tunnel structures, a differential equilibrium equation for the circumferential shear angle of the ring structure was established based on the geometric equation of circular arc microelements, physical equations, and static equilibrium equations. This reveals the differential relationship between the shear angle and circumferential/radial deformations. By incorporating the modified routine method to account for joint damage reduction, analytical solutions for stress, shear force, axial force, and bending moment of the ring structure under concentrated loading were derived. The accuracy of the theoretical model was
validated using field measurement data from a metro engineering case. Furthermore, parametric analysis was conducted to explore the variation patterns of structural responses under different loading conditions. The results indicate that axial force, bending moment, and shear force all increase significantly with external load. The shear force exhibits positive and negative peaks at the crown and invert of the ring, while reaching a positive peak at the waist.Additionally, bending moment, axial force, and shear force all approach zero at positions of ±135° and ±45°. The research provides a theoretical basis for load response analysis and design optimization of shield tunnel structures.
ZHANG Xiaolong
.Mechanical Response Analysis of Subway Shield Tunnel Structure under Pile
Foundation Load[J] MODERN TUNNELLING TECHNOLOGY, 2025,V62(4): 82-89
2025, Vol. 62 