High speed railway track dynamics : models algorithms and applications The second edition of this book systematically summarizes the latest research findings on high speed railway track dynamics made by the author and his research team over the past decade. It explores cutting edge issues concerning the basic theory of high speed railways covering the dynamic theories models algorithms and engineering applications of the high speed train and track coupling system. Presenting original concepts systematic theories and advanced algorithms the book places great emphasis on the precision and completeness of its content. The chapters are interrelated yet largely self contained allowing readers to either read through the book as a whole or focus on specific topics. It also combines theories with practice to effectively introduce readers to the latest research findings and developments in high speed railway track dynamics. It offers a valuable resource for researchers postgraduates and engineers in the fields of civil engineering transportation highway and railway engineering. Track dynamics research contents and related standards Analytic method for dynamic analysis of the track structure Fourier transform method for dynamic analysis of the track structure Analysis of vibration behavior of the elevated track structure Track irregularity power spectrum and numerical simulation Vertical vibration Model for the Track Structure and the Vehicle A cross iteration algorithm for vehicle track coupling vibration analysis Moving element model and its algorithm Model and Algorithm for Track Element and Vehicle Element Dynamic Analysis of the Vehicle Track Coupling System with Finite Elements in a Moving Frame of Reference Model for vertical dynamic analysis of the vehicle track subgrade ground coupling system Analysis of Dynamic Behavior of the Train — Ballast Track — Subgrade Coupling System Analysis of Dynamic Behavior of the Train — Slab Track — Subgrade Coupling System Analysis of dynamic behavior of the transition section between ballast track and ballastless track Analysis of Mid High Frequency Vibration Characteristics of Track Structure Based on Spectral Element Method Semi analytical prediction method for ground vibration caused by elevated track.