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高速鐵路軌道動力學-模型、算法與應用（第二版）（英） 
定 價：298 元 叢書名：高速鐵路軌道工程叢書
9 7 8 8 0 7 5 0 7 3 5 0 1 讀者對象:交通信息控制、軌道工程、載運工程專業(yè)的本科生、研究生、教師和工程技術人員 
本書是作者《高速鐵路軌道動力學-模型、算法與應用》專著的姊妹篇，重點論述了若干典型的高速鐵路車輛-軌道耦合系統(tǒng)動力學模型與程序設計，內(nèi)容包括：軌道不平順功率譜及數(shù)值模擬、軌道結構動力分析的傅里葉變換法與程序、軌道單元模型與軌道結構動力有限元方程、車輛垂向振動模型及動力學方程、車輛-軌道非線性耦合系統(tǒng)動力分析的交叉迭代算法與程序、列車-軌道-橋梁耦合系統(tǒng)縱向/垂向動力有限元模型與程序、動輪單元-軌道-橋梁耦合系統(tǒng)動力有限元模型與程序、列車-軌道耦合系統(tǒng)動力有限元模型與程序、車輛-軌道耦合系統(tǒng)動力有限元模型和算法對比分析，以及基于譜單元法的軌道結構中高頻振動分析及程序。
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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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