Chapter 1  Introduction
  1.1  Basic Concepts
  1.2  Several Concepts of Random Vibration
  1.3  Random Vibration in the Vehicle Field
  1.4  Random Vibration Knowledge System
  1.5  Research Methods of Random Vibration
  Exercise1
Chapter 2  Vibration
  2.1  Description of Vibration
  2.2  Vector Diagram Method of Harmonic Vibration
  2.3  Several Common Harmonic Vibrations
  2.4  Energy of Harmonic Vibration
  2.5  Damped Vibration
  2.6  Forced Vibration and Resonance
  2.7  Synthesis of Two Harmonic Vibrations of the Same Direction
  2.8  Synthesis of Perpendicular Harmonic Vibrations
  2.9  Vibration Analysis Procedure
  Exercise2
Chapter 3  Random Variable
  3.1  Introduction to Stochastic Analysis
  3.2  Fundamental Operations of Events
  3.3  Probability Distribution Function
  3.4  Poisson PDF as a Limit of Binomial PDF
  3.5  Gaussian(Normal) Random Variable Model for Sums
  3.6  Exponential Random Variable
  3.7  Lognormal Random Variable
  3.8  Transformation of Random Variables
  3.9  Multi - dimensional Random Variables
  3.10  Independence of Random Variables
  3.11  Joint Distribution Function
  3.12  Function of Random Variables
  Exercise3
Chapter 4  Random Processes
  4.1  Random Process Definition and Statistical Characteristics
  4.2  Power Spectrum Density
  4.3  Ergodicity of a Random Process
  4.4  Several Typical Random Processes and Their Characteristics
  4.5  Differentiation and Integration of Random Processes
  Exercise4
Chapter 5  SDOF System
  5.1  SDOF System Modeling
  5.2  Duhamel's Integral and Response to Arbitrary Excitation
  5.3  SDOF System Under Random Excitations
  5.4  Derivative and Integration of Random Processes
  5.5  SDOF System Under Non - Stationary Random Excitation
  5.6  Random Vibration Under Random Initial Conditions
  5.7  SDOF System Under Random Support Motions
  Exercise5
Chapter 6  MDOF System
  6.1  Preliminaries
  6.2  Uncoupled Equations of Motion
  6.3  Orthogonality Property of Eigenvectors
  6.4  Classical Damping Models
  6.5  Frequency Features of a Vibration System
  6.6  Dynamics of Euler - Bernoulli Beam
  6.7  MDOF System Response Under Random Excitation
  Exercise6
Chapter 7  Random Vibration of Railway Vehicles
  7.1  Vertical Random Vibration of Railway Vehicles
  7.2  The Solution of Frequency Response Function
  7.3  Lateral Random Vibration of Railway Vehicles
  7.4  Lateral Random Response Characteristics of Railway Vehicles
  Exercise7
References