Dynamic Response Analysis on Stress and Displacement of the Shield Tunnel Structure and Soil Layer under Train-Induced Vibration in Xiamen Metro Line 6
Abstract
:1. Introduction
2. Dynamic Calculation Model and Parameters
2.1. Establishment of Calculation Model and Determination of Parameters
2.2. Train Loads and Monitoring Points Arrangement
2.2.1. Train Loads in Subway
2.2.2. Monitoring Points Arrangement
2.3. Boundary Conditions and Damping Parameters
3. Analysis of Dynamic Response Characteristics of Shield Tunnel Structure
3.1. Dynamic Response of Tunnel Structures under Different Train-Induced Vibration Load
3.1.1. Dynamic Stress Response
3.1.2. Vertical Displacement Response
3.2. Dynamic Response of Tunnel Structures with Different Stiffness
3.2.1. First Principal Stress Response
3.2.2. Vertical Displacement Response
4. Analysis of Dynamic Response Characteristics of Soil Layer at the Bottom of Tunnel
4.1. Dynamic Response of Soil Layer under Different Train Speed
4.1.1. Vertical Dynamic Stress Response
4.1.2. Vertical Displacement Response
4.2. Dynamic Response of Soil Layer at the Bottom of Tunnel Structure with Different Stiffness
4.2.1. Vertical Stress Response
4.2.2. Displacement Response
5. Conclusions
- (1)
- When the subway train is running, the stress response of the shield tunnel structure is dominated by the first principal stress, which is mainly subjected to compressive stress and generates compressive deformation. The maximum stress peak of the tunnel structure appears at the arch waist of the shield tunnel structure at different train speed vibration loads. The stress and displacement responses of the shield tunnel structure show an improving trend with the increase in the train speed. The change in train speed has less effect on the displacement response but has a significant effect on the dynamic stress response. In the design of the shield tunnel structure, the reinforcement measures at the arch waist should be fully considered.
- (2)
- The influence of shield segment concrete strength grade on the first principal stress of tunnel structure is not obvious under train-induced vibration load. With the enhancement of structural stiffness, the first principal stress rises but the increased amplitude is gradually reduced. With the increase in the stiffness level of the shield tunnel structure, the relative displacement and its variation range between the vault and the bottom of the tunnel structure are gradually reduced, and the displacement response is gradually weakened. It is not significant for enhancing the structural stability to improve the strength grade of concrete.
- (3)
- When the soil depth increases, the dynamic response of the soil layer at the bottom of the shield tunnel structure is consistent under different train-induced vibration loads. With the increase in the depth of the soil layer from the tunnel bottom, the stress and displacement responses decrease, and the change rate increases gradually. At the same distance, with the increase in train-induced vibration load, the stress of soil gradually enhances. However, the farther away from the bottom of the shield tunnel, the smaller the increase rate of the soil stress. The displacement response presents periodic characteristics. With the increase in depth from the bottom of the shield tunnel, the influence of the train speed change on the vertical displacement of soil layer gradually disappears.
- (4)
- With the increase in the depth of the soil layer from the tunnel bottom, the stress and displacement response of the soil layer decrease, and the decline rate increases under different tunnel stiffness conditions. At the same depth from the bottom, with the increase in structural stiffness, the stress response of the soil layer increases slightly, and the displacement response decreases gradually, but the changes are not obvious. The changes in tunnel structural stiffness have a certain influence on the dynamic response of the soil layer at the bottom, but the influence gradually disappears with the increase in structural stiffness. It is important to pay continuous attention to the dynamic response of stress and displacement caused by train-induced vibration for the safe operation of the subway.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
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Type | Density (kg/m3) | Dynamic Elastic Modulus (MPa) | Dynamic Shear Modulus (MPa) | Poisson Ratio | Internal Friction Angle (°) | Cohesion (kPa) |
---|---|---|---|---|---|---|
Silt layer | 1580 | 81.2 | 28.3 | 0.47 | 7.1 | 9 |
Medium-coarse sand layer | 1960 | 242.7 | 110.4 | 0.46 | 30 | 0 |
Residual sandy cohesive soil | 1810 | 206.3 | 100.2 | 0.46 | 17.9 | 29 |
Fully weathered granite | 1840 | 300.6 | 155.0 | 0.45 | 21.2 | 31 |
C35 | 2400 | 31,500 | 12,600 | 0.2 | - | - |
C45 | 2500 | 33,500 | 13,400 | 0.2 | - | - |
C50 | 2600 | 34,500 | 13,800 | 0.2 | - | - |
C55 | 2700 | 35,500 | 14,200 | 0.2 | - | - |
Soil Layer | State | Main Engineering Geological Characteristics |
---|---|---|
Silt | flow plasticity | It is mainly composed of clay, containing organic matter and humic substances, with high natural water content. |
Medium-coarse sand | medium dense | It mainly contains quartz medium and coarse sand. |
Residual sandy cohesive soil | hard plasticity | It is mainly composed of weathered clay, silt, and quartz. |
Fully weathered granite | state of hard soil | The original rock structure has been basically destroyed and weathered into soil except for quartz. |
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Guo, J.; Xu, L.; Xu, C.; Chen, R.; Lin, J. Dynamic Response Analysis on Stress and Displacement of the Shield Tunnel Structure and Soil Layer under Train-Induced Vibration in Xiamen Metro Line 6. Sustainability 2022, 14, 11962. https://doi.org/10.3390/su141911962
Guo J, Xu L, Xu C, Chen R, Lin J. Dynamic Response Analysis on Stress and Displacement of the Shield Tunnel Structure and Soil Layer under Train-Induced Vibration in Xiamen Metro Line 6. Sustainability. 2022; 14(19):11962. https://doi.org/10.3390/su141911962
Chicago/Turabian StyleGuo, Jiaqi, Lexin Xu, Chong Xu, Ruimin Chen, and Jinhai Lin. 2022. "Dynamic Response Analysis on Stress and Displacement of the Shield Tunnel Structure and Soil Layer under Train-Induced Vibration in Xiamen Metro Line 6" Sustainability 14, no. 19: 11962. https://doi.org/10.3390/su141911962