Contents1 Track Dynamics Research Contents and Related Standards 11.1 A Review of Track Dynamics Research 11.2 Track Dynamics Research Contents 61.3 Limits for Safety and Riding Quality 71.3.1 Safety Limit for Regular Trains 71.3.2 Riding Quality Limits for Regular Trains 81.3.3 Safety and Riding Quality Limit for Rising Speed Trains 101.4 Standards of Track Maintenance for High-Speed Railway 111.4.1 Standards of Track Maintenance and Management for French High-Speed Railway 121.4.2 Standards of Track Maintenance and Management for Japanese Shinkansen High-Speed Railway 131.4.3 Standards of Track Maintenance and Management for German High-Speed Railway 131.4.4 Standards of Track Maintenance and Management for British High-Speed Railway 131.4.5 Standards of Measuring Track Geometry for Korean High-Speed Railway (Dynamic) 161.4.6 Standards of Track Maintenance and Management for Chinese High-Speed Railway 161.4.7 Dominant Frequency Range and Sensitive Wavelength of European High-Speed Train and Track Coupling System 181.5 Railway Environmental Noise Standards 191.5.1 Noise Evaluation Index 191.5.2 Railway Noise Standards in China 201.5.3 Railway Noise Standards in Foreign Countries 201.6 Railway Environmental Vibration Standards 211.6.1 Vibration Parameter and Evaluation Index 211.6.2 Environmental Vibration Standards in China��s Urban Areas 291.6.3 Limit for Building Vibration Caused by Urban Mass Transit 291.7 Vibration Standards of Historic Building Structures 31References 362 Analytic Method for Dynamic Analysis of the Track Structure 412.1 Studies of Ground Surface Wave and Strong Track Vibration Induced by High-Speed Train 412.1.1 Continuous Elastic Beam Model of Track Structure 422.1.2 Track Equivalent Stiffness and Track Foundation Elasticity Modulus 442.1.3 Track Critical Velocity 452.1.4 Analysis of Strong Track Vibration 452.2 Effects of the Track Stiffness Abrupt Change on Track Vibration 482.2.1 Track Vibration Model with Consideration of Track Irregularity and Stiffness Abrupt Change Under Moving Loads 482.2.2 Reasonable Distribution of the Track Stiffness in Transition 55 References 593 Fourier Transform Method for Dynamic Analysis of the Track Structure 613.1 Model of Single-Layer Continuous Elastic Beam for the Track Structure 613.1.1 Fourier Transform 623.1.2 Inverse Discrete Fourier Transform 643.1.3 De.nition of Inverse Discrete Fourier Transform in Matlab 653.2 Model of Double Layer Continuous Elastic Beam for the Track Structure 663.3 Analysis of High Speed Railway Track Critical Velocity 683.3.1 Analysis of the Single-Layer Continuous Elastic beam Model 693.3.2 Analysis of the Double-Layer Continuous Elastic Beam Model 713.4 Model of Three-Layer Continuous Elastic Beam for the Track Structure 723.4.1 Model of Three-Layer Continuous Elastic Beam for the Ballast Track Structure 753.4.2 Model of Three-Layer Continuous Elastic Beam for the Slab Track Structure 793.5 Vibration Analysis of the Slab Track Structure 813.6 Vibration Analysis of Track Structure for Railways with Mixed Passenger and Freight Traffic 82References 894 Analysis of Vibration Behavior of the Elevated Track Structure 914.1 Basic Concept of Admittance 914.1.1 Definition of Admittance 914.1.2 Computational Method of Admittance 924.1.3 Harmonic Response Analysis 934.2 Analysis of Vibration Behavior of the Elevated Bridge Structure 944.2.1 Analytic Beam Model 954.2.2 Finite Element Model 994.2.3 Comparison Between the Analytic Model and the Finite Element Model for the Elevated Track-Bridge system 994.2.4 Influence of the Bridge Bearing Stiffiiess 1014.2.5 Influence of the Bridge Cross Section Model 1024.3 Analysis of Vibration Behavior of the Elevated Track Structure 1034.3.1 Analytic Model of the Elevated Track-Bridge System 1034.3.2 Finite Element Model 1084.3.3 Damping of the Bridge Structure 1094.3.4 Parameter Analysis of the Elevated Track-Bridge System 1114.4 Analysis of Vibration Attenuation Behavior of the Elevated Track Structure 1154.4.1 Attenuation Rate of\^bration Transmission 1154.4.2 Attenuation Coefficient of Rail Vibration 119References 1205 Track Irregularity Power Spectrum and Numerical Simulation 1215.1 Basic Concept of Random Process 1225.1.1 Stationary Random Process 1235.1.2 Ergodic 1245.2 Random Irregularity Power Spectrum of the Track Structure 1245.2.1 American Track Irregularity Power Spectrum 1255.2.2 Germany Track Irregularity Power Spectrumfor High-Speed Railway 1265.2.3 Japanese Track Irregularity Sato Power Spectrum 1275.2.4 Chinese Track Irregularity Power Spectrum 1275.2.5 Track Irregularity Power Spectrum for Hefei-Wuhan Passenger Dedicated Line 1315.2.6 Comparison of the T