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Railroad Vehicle Dynamics

A Computational Approach

Railroad Vehicle Dynamics by Ahmed A. Shabana
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INTRODUCTION
Railroad Vehicles and Multibody-System Dynamics
Constrained Dynamics
Geometry Problem
Contact Theories
General Multibody Railroad Vehicle Formulations
Specialized Railroad Vehicle Formulations
Linearized Railroad Vehicle Models
Motion Stability
Motion Scenarios

DYNAMIC FORMULATIONS
General Displacement
Rotation Matrix
Velocities and Accelerations
Newton-Euler Equations
Joint Constraints
Augmented Formulation
Trajectory Coordinates
Embedding Technique
Interpretation of the Methods
Virtual Work

RAIL AND WHEEL GEOMETRY
Theory of Curves
Geometry of Surfaces
Rail Geometry
Definitions and Terminology
Geometric Description of the Track
Computer Implementation
Track Preprocessor
Wheel Geometry

CONTACT AND CREEP-FORCE MODELS
Hertz Theory
Creep Phenomenon
Wheel/Rail Contact Approaches
Creep-Force Theories

MULTIBODY CONTACT FORMULATIONS
Parameterization of Wheel and Rail Surfaces
Constraint Contact Formulations
Augmented Constraint Contact Formulation (ACCF)
Embedded Constraint Contact Formulation (ECCF)
Elastic Contact Formulation-Algebraic Equations (ECF-A)
Elastic Contact Formulation-Nodal Search (ECF-N)
Comparison of Different Contact Formulations
Planar Contact

IMPLEMENTATION AND SPECIAL ELEMENTS
General Multibody-System Algorithms
Numerical Algorithms-Constraint Formulations
Numerical Algorithms-Elastic Formulations
Calculation of the Creep Forces
Higher Derivatives and Smoothness Technique
Track Preprocessor
Deviations and Measured Data
Special Elements
Maglev Forces
Static Analysis
Numerical Comparative Study

SPECIALIZED RAILROAD VEHICLE FORMULATIONS
General Displacement
Velocity and Acceleration
Equations of Motion
Trajectory Coordinate Constraints
Single-Degree-of-Freedom Model
Two-Degree-of-Freedom Model
Linear Hunting Stability Analysis

CREEPAGE LINEARIZATION
Background
Transformation and Angular Velocity
Euler Angles
Linearization Assumptions
Longitudinal and Lateral Creepages
Spin Creepage
Newton-Euler Equations
Concluding Remarks

APPENDIX A - Contact Equations

APPENDIX B - Elliptical Integrals

REFERENCES

INDEX
CRC Press; July 2007
362 pages; ISBN 9781420045857
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Title: Railroad Vehicle Dynamics
Author: Ahmed A. Shabana; Khaled E. Zaazaa; Hiroyuki Sugiyama
 
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