Dynamics of Rail Transit Tunnel Systems

Chapter 1: Introduction1.1 Development of Rail Transit1.2 Characteristics of Underground Railway Systems1.2.1 Source of Vibration1.2.2 Components of Rail Tracks1.2.3 Tunnel Structure1.3 Typical Engineering Concerns Related to the Dynamics of Rail Transit Tunnel Systems1.3.1 Long-Term Settlement and Induced Structural Damage of Metro Tunnels in Soft Soils1.3.2 Environmental Vibration Problems1.4 Existing Approaches and Models1.5 Content and Scope of This BookReferencesChapter 2: A Multilayer Cylindrical Tunnel Model for Calculating the DynamicResponse Subjected to Vertical and Horizontal Moving Loads Inside a Circular Tunnel2.1 Introduction2.2 Governing Equations of the Shell-Cylinder Model2.2.1 Double Cylindrical Shell Equations2.2.2 Saturated Porous Medium Equations2.2.3 Solution for Particular Boundary Conditions2.3 Simulation Results and Discussion2.3.1 Dynamic Stress of Saturated Soil Subjected to Vertical Moving Loads2.3.2 Effect of Horizontal Load on Dynamic Stress of Saturated SoilsReferencesChapter 3: A Vehicle-Track-Tunnel-Soil Model for Evaluating the Dynamic Response of a Double-Line Underground Railway Tunnelin a Poroelastic Full-Space3.1 Introduction3.2 Model Development for a Railway Tunnel3.2.1 Simulation of a Tunnel in a Poroelastic Full-Space3.2.2 Coupling of the Railway Track3.2.3 Simulation of the Vehicle Load3.3 Simulation Results and Discussion3.3.1 Validation Against Existing Tunnel Model3.3.2 Case Study of a Single-Line Metro Tunnel3.3.3 Case Study of a Double-Line Metro TunnelReferencesChapter 4: Dynamic 2.5D Green’s Function for a Saturated Porous Medium4.1 Introduction4.2 Governing Equations and General Solutions4.2.1 Biot’s Theory: Governing Equations4.2.2 Displacement Potentials and General Solutions4.3 Dynamic 2.5D Green’s Function for a Poroelastic Full-Space4.3.1 Point Load Applied to the Solid Skeleton Along the X-Axis4.3.2 Point Load Applied to the Solid Skeleton Along the Y-Axis4.3.3 Point Load Applied to the Solid Skeleton Along the Z-Axis4.3.4 Dilatation Source Applied Within the Pore Fluid4.4 Dynamic 2.5D Green’s Function for a Poroelastic Half-Space4.4.1 Point Load Applied to the Solid Skeleton Along the X-Axis4.4.2 Point Load Applied to the Solid Skeleton Along the Y-Axis4.4.3 Point Load Applied to the Solid Skeleton Along the Z-Axis4.4.4 Dilatation Source Applied Within the Pore Fluid4.5 Dynamic 2.5D Green’s Function for a Multilayered Poroelastic Half-Space4.6 Numerical Examples4.6.1 Comparison With the 2.5D Green’s Function for an Elastodynamic Half-Space4.6.2 Comparison With the 3D Green’s Function for a Poroelastic Half-Space4.6.3 Comparison With the 3D Green’s Function for a Layered Poroelastic Half-Space4.6.4 Dynamic Response for Point Source in a Multilayered Poroelastic Half-SpaceReferencesChapter 5: 2.5D FE-BE Model for the Prediction of Train-Induced Vibration From a Tunnel in Saturated Soil5.1 Introduction5.2 2.5D Coupled FE-BE Model for the Coupled Tunnel-Soil System5.2.1 2.5D FE Model for a Tunnel5.2.2 2.5D BE Model for the Saturated Soil5.2.3 2.5D FE-BE Coupling for Tunnel