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High Speed Railway Track Dynamics Models,Algorithms and Applications Second Edition（高速铁路轨道动力学——模型、算法与应用（第二版））


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High Speed Railway Track Dynamics Models,Algorithms and Applications Second Edition（高速铁路轨道动力学——模型、算法与应用（第二版））
  • 书号：9787030805751
    作者：雷晓燕
  • 外文书名：
  • 装帧：圆脊精装
    开本：B5
  • 页数：487
    字数：
    语种：zh-Hans
  • 出版社：科学出版社
    出版时间：2025-01-01
  • 所属分类：交通/船舶/运输
  • 定价： ￥298.00元
    售价： ￥235.42元
  • 图书介质:
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  • 购买数量： 件  可供
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本书是《高速铁路轨道动力学－模型、算法与应用》姊妹篇的第一部，重点论述高速列车－轨道耦合系统动力学理论、模型、算法及工程应用。全书共分十五章：轨道动力学研究内容及相关标准、轨道结构动力分析的解析法、轨道结构动力分析的傅里叶变换法、高架轨道结构动力特性分析、轨道不平顺功率谱及数值模拟、车辆和轨道结构垂向动力分析模型、车辆－轨道非线性耦合振动分析的交叉迭代算法、动轮单元模型及算法、轨道单元与车辆单元模型及算法、车辆－轨道耦合系统动力分析的移动单元法、车辆-轨道-路基-大地耦合系统垂向动力分析模型、列车-有砟轨道-路基耦合系统动力特性分析、列车－板式轨道-路基耦合系统动力特性分析、高速列车-轨道空间非线性耦合系统动力分析，及轨道结构中-高频振动分析。

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目录

  • Contents
    1 Track Dynamics Research Contents and Related Standards 1
    1.1 A Review of Track Dynamics Research 1
    1.2 Track Dynamics Research Contents 6
    1.3 Limits for Safety and Riding Quality 7
    1.3.1 Safety Limit for Regular Trains 7
    1.3.2 Riding Quality Limits for Regular Trains 8
    1.3.3 Safety and Riding Quality Limit for Rising Speed Trains 10
    1.4 Standards of Track Maintenance for High-Speed Railway 11
    1.4.1 Standards of Track Maintenance and Management for French High-Speed Railway 12
    1.4.2 Standards of Track Maintenance and Management for Japanese Shinkansen High-Speed Railway 13
    1.4.3 Standards of Track Maintenance and Management for German High-Speed Railway 13
    1.4.4 Standards of Track Maintenance and Management for British High-Speed Railway 13
    1.4.5 Standards of Measuring Track Geometry for Korean High-Speed Railway (Dynamic) 16
    1.4.6 Standards of Track Maintenance and Management for Chinese High-Speed Railway 16
    1.4.7 Dominant Frequency Range and Sensitive Wavelength of European High-Speed Train and Track Coupling System 18
    1.5 Railway Environmental Noise Standards 19
    1.5.1 Noise Evaluation Index 19
    1.5.2 Railway Noise Standards in China 20
    1.5.3 Railway Noise Standards in Foreign Countries 20
    1.6 Railway Environmental Vibration Standards 21
    1.6.1 Vibration Parameter and Evaluation Index 21
    1.6.2 Environmental Vibration Standards in China’s Urban Areas 29
    1.6.3 Limit for Building Vibration Caused by Urban Mass Transit 29
    1.7 Vibration Standards of Historic Building Structures 31
    References 36
    2 Analytic Method for Dynamic Analysis of the Track Structure 41
    2.1 Studies of Ground Surface Wave and Strong Track Vibration Induced by High-Speed Train 41
    2.1.1 Continuous Elastic Beam Model of Track Structure 42
    2.1.2 Track Equivalent Stiffness and Track Foundation Elasticity Modulus 44
    2.1.3 Track Critical Velocity 45
    2.1.4 Analysis of Strong Track Vibration 45
    2.2 Effects of the Track Stiffness Abrupt Change on Track Vibration 48
    2.2.1 Track Vibration Model with Consideration of Track Irregularity and Stiffness Abrupt Change Under Moving Loads 48
    2.2.2 Reasonable Distribution of the Track Stiffness in Transition 55 References 59
    3 Fourier Transform Method for Dynamic Analysis of the Track Structure 61
    3.1 Model of Single-Layer Continuous Elastic Beam for the Track Structure 61
    3.1.1 Fourier Transform 62
    3.1.2 Inverse Discrete Fourier Transform 64
    3.1.3 De.nition of Inverse Discrete Fourier Transform in Matlab 65
    3.2 Model of Double Layer Continuous Elastic Beam for the Track Structure 66
    3.3 Analysis of High Speed Railway Track Critical Velocity 68
    3.3.1 Analysis of the Single-Layer Continuous Elastic beam Model 69
    3.3.2 Analysis of the Double-Layer Continuous Elastic Beam Model 71
    3.4 Model of Three-Layer Continuous Elastic Beam for the Track Structure 72
    3.4.1 Model of Three-Layer Continuous Elastic Beam for the Ballast Track Structure 75
    3.4.2 Model of Three-Layer Continuous Elastic Beam for the Slab Track Structure 79
    3.5 Vibration Analysis of the Slab Track Structure 81
    3.6 Vibration Analysis of Track Structure for Railways with Mixed Passenger and Freight Traffic 82
    References 89
    4 Analysis of Vibration Behavior of the Elevated Track Structure 91
    4.1 Basic Concept of Admittance 91
    4.1.1 Definition of Admittance 91
    4.1.2 Computational Method of Admittance 92
    4.1.3 Harmonic Response Analysis 93
    4.2 Analysis of Vibration Behavior of the Elevated Bridge Structure 94
    4.2.1 Analytic Beam Model 95
    4.2.2 Finite Element Model 99
    4.2.3 Comparison Between the Analytic Model and the Finite Element Model for the Elevated Track-Bridge system 99
    4.2.4 Influence of the Bridge Bearing Stiffiiess 101
    4.2.5 Influence of the Bridge Cross Section Model 102
    4.3 Analysis of Vibration Behavior of the Elevated Track Structure 103
    4.3.1 Analytic Model of the Elevated Track-Bridge System 103
    4.3.2 Finite Element Model 108
    4.3.3 Damping of the Bridge Structure 109
    4.3.4 Parameter Analysis of the Elevated Track-Bridge System 111
    4.4 Analysis of Vibration Attenuation Behavior of the Elevated Track Structure 115
    4.4.1 Attenuation Rate of\^bration Transmission 115
    4.4.2 Attenuation Coefficient of Rail Vibration 119
    References 120
    5 Track Irregularity Power Spectrum and Numerical Simulation 121
    5.1 Basic Concept of Random Process 122
    5.1.1 Stationary Random Process 123
    5.1.2 Ergodic 124
    5.2 Random Irregularity Power Spectrum of the Track Structure 124
    5.2.1 American Track Irregularity Power Spectrum 125
    5.2.2 Germany Track Irregularity Power Spectrum
    for High-Speed Railway 126
    5.2.3 Japanese Track Irregularity Sato Power Spectrum 127
    5.2.4 Chinese Track Irregularity Power Spectrum 127
    5.2.5 Track Irregularity Power Spectrum for Hefei-Wuhan Passenger Dedicated Line 131
    5.2.6 Comparison of the Track Irregularity Power Spectrum Fitting Curves 133
    5.3 Numerical Simulation for Random Irregularity of the Track Structure 138
    5.4 Trigonometric Series Method 140
    5.4.1 Trigonometric Series Method (1) 140
    5.4.2 Trigonometric Series Method (2) 141
    5.4.3 Trigonometric Series Method (3) 142
    5.4.4 Trigonometric Series Method (4) 142
    5.5 Sample of the Track Structure Random Irregularity 143
    References 144
    6 Vertical Vibration Model for the Track Structure and the Vehicle 145
    6.1 Fundamental Theory of Dynamic Finite Element Method 146
    6.1.1 A Brief Introduction to Dynamic Finite Element Method 146
    6.1.2 Beam Element Theory 150
    6.2 Finite Element equation of the Track Structure 156
    6.2.1 Basic Assumptions 156
    6.2.2 Generalized Beam Element Model of the Track Structure 158
    6.3 Model of the Track Structure Under Moving Axle Loads 163
    6.4 Vehicle Model of a Single Wheel with Primary Suspension System 164
    6.5 Vehicle Model of Half a Car with Primary and Secondary Suspension System 166
    6.6 Vehicle Model of a Whole Car with Primary and Secondary Suspension System 169
    6.7 Parameters for the Vehicle and the Track Structure 171
    6.7.1 Parameters of the Locomotive and Vehicle 172
    6.7.2 Parameters of the Track Structure 172
    References 174
    7 A Cross-Iteration Algorithm for Vehicle–Track Nonlinear Coupling Vibration Analysis 177
    7.1 A Cross-Iteration Algorithm for Vehicle–Track Nonlinear Coupling System 177
    7.2 Algorithm Validation 183
    7.2.1 Example Veri.cation 183
    7.2.2 In.uence of the Time Step 186
    7.2.3 In.uence of the Convergence Precision 187
    7.3 Dynamic Analysis of the Train–Track Nonlinear Coupling System 189
    7.4 Dynamic Analysis of the Vehicle–Track–Bridge Nonlinear Coupling System 193
    7.5 Conclusions 198
    References 205
    8 Moving Element Model and Its Algorithm 207
    8.1 Moving Wheel Element Model 207
    8.2 Moving Element Model of a Single Wheel with Primary Suspension System 210
    8.3 Moving Element Model of a Single Wheel with Primary and Secondary Suspension System 213
    8.4 Model and Algorithm for Dynamic Analysis of a Single Wheel Moving on the Bridge 218
    8.5 Vibration Analysis of the Train–Track–Bridge Coupling System 220 References 228
    9 Model and Algorithm for Track Element and Vehicle Element 231
    9.1 Ballast Track Element Model 232
    9.1.1 Basic Assumptions 232
    9.1.2 Three-Layer Ballast Track Element 232
    9.2 Slab Track Element Model 235
    9.2.1 Basic Assumptions 235
    9.2.2 Three-Layer Slab Track Element Model 236
    9.2.3 Mass Matrix of the Slab Track Element 237
    9.2.4 Stiffness Matrix of the Slab Track Element 238
    9.2.5 Damping Matrix of the Slab Track Element 242
    9.3 Slab Track–Bridge Element Model 244
    9.3.1 Basic Assumptions 244
    9.3.2 Three-Layer Slab Track and Bridge Element Model 244
    9.3.3 Mass Matrix of the Slab Track–Bridge Element 245
    9.3.4 Stiffness Matrix of the Slab Track–Bridge Element 246
    9.3.5 Damping Matrix of the Slab Track–Bride Element 249
    9.4 Vehicle Element Model 251
    9.4.1 Potential Energy of the Vehicle Element 252
    9.4.2 Kinetic Energy of the Vehicle Element 256
    9.4.3 Dissipated Energy of the Vehicle Element 257
    9.5 Finite Element Equation of the Vehicle–Track Coupling System 257
    9.6 Dynamic Analysis of the Train-Track Coupling System 259
    References 265
    10 Dynamic Analysis of the Vehicle–Track Coupling System with Finite Elements in a Moving Frame of Reference 267
    10.1 Basic Assumptions 268
    10.2 Three-Layer Beam Element Model of the Slab Track in a Moving Frame of Reference 268
    10.2.1 Governing Equation of the Slab Track 269
    10.2.2 Element Mass, Damping and Stiffness Matrixes of the Slab Track in a Moving Frame of Reference 271
    10.3 Vehicle Element Model 286
    10.4 Finite Element Equation of the Vehicle–Slab Track Coupling System 286
    10.5 Algorithm Veri.cation 287
    10.6 Dynamic Analysis of the High-Speed Train-Slab Track Coupling System 288
    References 296
    11 Model for Vertical Dynamic Analysis of the Vehicle–Track–Subgrade–Ground Coupling System 297
    11.1 Model of the Slab Track–Embankment–Ground System Under Moving Loads 297
    11.1.1 Dynamic Equation and Its Solution for the Slab Track–Subgrade Bed System 298
    11.1.2 Dynamic Equation and Its Solution for the Embankment Body-Ground System 301
    11.1.3 Coupling Vibration of the Slab Track–Embankment–Ground System 303
    11.2 Model of the Ballast Track–Embankment–Ground System Under Moving Loads 305
    11.2.1 Dynamic Equation and Its Solution for the Ballast Track–Subgrade Bed System 306
    11.2.2 Coupling Vibration of the Ballast Track–Embankment–Ground System 307
    11.3 Analytic Vibration Model of the Moving Vehicle–Track–Subgrade–Ground Coupling System 308
    11.3.1 Flexibility Matrix of the Moving Vehicles at Wheelset Points 308
    11.3.2 Flexibility Matrix of the Track–Subgrade–Ground System at Wheel–Rail Contact Points 311
    11.3.3 Coupling of the Moving Vehicle–Subgrade–Ground System by Consideration of Track Irregularities 312
    11.4 Dynamic Analysis of the High-Speed Train–Track–Subgrade–Ground Coupling System 313
    11.4.1 In.uence of the Train Speed and Track Irregularity on Embankment Body Vibration 313
    11.4.2 In.uence of the Subgrade Bed Stiffness on Embankment Body Vibration 316
    11.4.3 In.uence of the Embankment Soil Stiffness on Embankment Body Vibration 316
    References 317
    12 Analysis of Dynamic Behavior of the Train, Ballast Track and Subgrade Coupling System 319
    12.1 Parameters for Vehicle and Track Structure 319
    Contents xvii
    12.2 In.uence Analysis of the Train Speed 320
    12.3 In.uence Analysis of the Track Stiffness Distribution 323
    12.4 In.uence Analysis of the Transition Irregularity 326
    12.5 In.uence Analysis of the Combined Track Stiffness and Transition Irregularity 332 References 336
    13 Analysis of Dynamic Behavior of the Train-Slab Track-Subgrade Coupling System 337
    13.1 Example Validation 338
    13.2 Parameter Analysis of the Dynamic Behavior of the Train-Slab Track-Subgrade Coupling System 340
    13.3 In.uence of the Rail Pad and Fastener Stiffness 341
    13.4 In.uence of the Rail Pad and Fastener Damping 344
    13.5 In.uence of the CA Mortar Stiffness 346
    13.6 In.uence of the CA Mortar Damping 346
    13.7 In.uence of the Subgrade Stiffness 349
    13.8 In.uence of the Subgrade Damping 352
    References 360
    14 Dynamic Analysis of High-speed Train-Track Space Nonlinear Coupling System 361
    14.1 Vehicle Subsystem Model 362
    14.1.1 Vehicle Subsystem Model 362
    14.1.2 Dynamics Equation of The Vehicle Subsystem 363
    14.2 Track Subsystem Model 371
    14.2.1 Track Subsystem Model 371
    14.2.2 Mass, Stiffness and Damping Matrix of the Space Beam Element374
    14.2.3 Mass, Stiffness and Damping Matrix of the Space Hexahedron Element 377
    14.2.4 Stiffness and Damping Matrix of the Two-Node Space Viscoelastic Damping Element379
    14.2.5 Stiffness and Damping Matrix of the Track Foundation 379
    14.2.6 Stiffness and Damping Matrix of the CA Mortar Layer Element380
    14.3 A Cross Iteration Method for Dynamic Analysis of the Vehicle-Track Space Nonlinear Coupling System 381
    14.4 Analysis of the Wheel-Rail Space Contact Geometry Relation 382
    14.5 Dynamic Analyses of the High Speed Train-Track Space Nonlinear Coupling System Under Track Irregularity Excitation 390
    14.5.1 Track Local Irregularity 391
    14.5.2 Simulation Results 392
    14.5.3 Dynamic Response Analyses 395
    References 396
    15 Analysis of Medium and High-Frequency Vibration for Track Structure 399
    15.1 Introduction 399
    15.2 Single-Layer Beam Model for Track Structure 401
    15.2.1 Spectral Element Stiffness Matrix of the Single-Layer Beam Model for Track Structure 402
    15.2.2 Spectral Element Stiffness Matrix of the Rail Pad and Fastener 408
    15.2.3 Spectral Element Stiffness Matrix of 2D Truncation Beam Element 408
    15.2.4 Spectral Stiffness Matrix of the Global Structure 410
    15.3 Spectral Element Stiffness Matrix of the Three-Layer Beam Model for Slab Track Structure 410
    15.4 Vibration Analysis of the Track Structure with the Single-Layer Beam Spectral Element Model 415
    15.5 Parameter Analyses of Medium and High-Frequency Vibration for the Slab Track Structure 416
    15.5.1 Effect of the Rail Pad and Fastener Stiffness 418
    15.5.2 Effect of the CA Mortar Stiffness 420
    15.5.3 Effect of the Subgrade Stiffness 422
    15.5.4 Brief Summary 424
    15.6 Frequency Domain Method for Dynamic Analysis of the Vehicle–Track Coupling System 424
    15.6.1 Vehicle Model 425
    15.6.2 Spectral Element Equation of the Vehicle–Track Coupling System 428
    15.7 Frequency Domain Analysis of the Dynamic Response of the Vehicle–Track Coupling System 429
    15.7.1 Model Veri.cation 429
    15.7.2 Frequency Domain Analysis of the Dynamic Response of the Vehicle–Track Coupling System 430
    15.7.3 Analysis of Vertical Vibration of the Wheelset and the Rail 433
    15.7.4 Analysis of Vibration Attenuation of the Track Structure 434
    15.7.5 Conclusions 435
    References 436
    Appendix A: Parameters of Vehicle and Track Structure 439
    Appendix B: Slab Track Dynamics Calculation Program STDYN-1.0 451
    Appendix C: Train-Track-Continuous Bridge Coupling SystemDynamics Calculation Program VTBDYN-1.0 461
    Appendix D: Dynamics Calculation Program WTBDYN-1.0 for the Moving Wheelset with Primary and Secondary Suspension-Track-Continuous Bridge Coupling System 479
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