Mathematical foundation of railroad vehicle systems : geometry and mechanics /: geometry and mechanics. (2020)
- Record Type:
- Book
- Title:
- Mathematical foundation of railroad vehicle systems : geometry and mechanics /: geometry and mechanics. (2020)
- Main Title:
- Mathematical foundation of railroad vehicle systems : geometry and mechanics
- Further Information:
- Note: Ahmed A. Shabana.
- Authors:
- Shabana, Ahmed A, 1951-
- Contents:
- PREFACE Chapter 1INTRODUCTION 1.1 Differential Geometry 1.2 Integration of Geometry and Mechanics 1.3 Hunting Oscillations 1.4 Wheel and Track Geometries 1.5 Centrifugal Forces and Balance Speed 1.6 Contact Formulations 1.7 Computational MBS Approaches 1.8 Derailment Criteria 1.9 High-Speed Rail Systems 1.10 Linear Algebra and Book Notations Chapter 2 Differential Geometry 2.1 Curve Geometry 2.2 Surface Geometry 2.3 Application to Railroad Geometry 2.4 Surface Tangent Plane and Normal Vector 2.5 Surface Fundamental Forms 2.6 Normal Curvature 2.7 Principal Curvatures and Directions 2.8 Numerical Representation of the Profile Geometry 2.9 Numerical Representation of the Surface Geometry CHAPTER 3 MOTION AND GEOMETRY DESCRIPTION 3.1 Rigid Body Kinematics 3.2 Direction Cosines and Simple Rotations 3.3 Euler Angles 3.4 Euler Parameters 3.5 Velocity and Acceleration Equations 3.6 Generalized Coordinates 3.7 Kinematic Singularities 3.8 Euler Angles and Track Geometry 3.9 Angle Representation of the Curve Geometry 3.10 Euler Angles as Field Variables 3.11 Euler-Angle Description of the Track Geometry 3.12 Geometric Motion Constraints 3.13 Trajectory Coordinates CHAPTER 4 RAILROAD GEOMETRY 4.1 Wheel Surface Geometry 4.2 Wheel Curvatures and Global Vectors 4.3 Semi-Analytical Approach for Rail Geometry 4.4 ANCF Rail Geometry 4.5 ANCF Interpolation of the Rail Geometry 4.6 ANCF Computation of the Tangents and Normal 4.7 Track Geometry Equations 4.8 Numerical Representation of the TrackPREFACE Chapter 1INTRODUCTION 1.1 Differential Geometry 1.2 Integration of Geometry and Mechanics 1.3 Hunting Oscillations 1.4 Wheel and Track Geometries 1.5 Centrifugal Forces and Balance Speed 1.6 Contact Formulations 1.7 Computational MBS Approaches 1.8 Derailment Criteria 1.9 High-Speed Rail Systems 1.10 Linear Algebra and Book Notations Chapter 2 Differential Geometry 2.1 Curve Geometry 2.2 Surface Geometry 2.3 Application to Railroad Geometry 2.4 Surface Tangent Plane and Normal Vector 2.5 Surface Fundamental Forms 2.6 Normal Curvature 2.7 Principal Curvatures and Directions 2.8 Numerical Representation of the Profile Geometry 2.9 Numerical Representation of the Surface Geometry CHAPTER 3 MOTION AND GEOMETRY DESCRIPTION 3.1 Rigid Body Kinematics 3.2 Direction Cosines and Simple Rotations 3.3 Euler Angles 3.4 Euler Parameters 3.5 Velocity and Acceleration Equations 3.6 Generalized Coordinates 3.7 Kinematic Singularities 3.8 Euler Angles and Track Geometry 3.9 Angle Representation of the Curve Geometry 3.10 Euler Angles as Field Variables 3.11 Euler-Angle Description of the Track Geometry 3.12 Geometric Motion Constraints 3.13 Trajectory Coordinates CHAPTER 4 RAILROAD GEOMETRY 4.1 Wheel Surface Geometry 4.2 Wheel Curvatures and Global Vectors 4.3 Semi-Analytical Approach for Rail Geometry 4.4 ANCF Rail Geometry 4.5 ANCF Interpolation of the Rail Geometry 4.6 ANCF Computation of the Tangents and Normal 4.7 Track Geometry Equations 4.8 Numerical Representation of the Track Geometry 4.9 Track Data 4.10 Irregularities and Measured Track Data 4.11 Comparison of the Semi-Analytical and ANCF Approaches CHAPTER 5 CONTACT PROBLEM 5.1 Wheel/Rail Contact Mechanism 5.2 Constraint Contact Formulation (CCF) 5.3 Elastic Contact Formulation (ECF) 5.4 Normal Contact Forces 5.5 Contact Surface Geometry 5.6 Contact Ellipse and Normal Contact Force 5.7 Creepage Definitions 5.8 Creep Force Formulations 5.9 Creep Force and Wheel/Rail Contact Formulations 5.10 Maglev Forces CHAPTER 6 Equations of Motion 6.1 Newtonian and Lagrangian Approaches 6.2 Virtual Work Principle and Constrained Dynamics 6.3 Summary of the Rigid Body Kinematics 6.4 Inertia Forces 6.5 Applied Forces 6.6 Newton-Euler Equations 6.7 Augmented Formulation and Embedding Technique 6.8 Wheel/Rail Constraint Contact Forces 6.9 Wheel/Rail Elastic Contact Forces 6.10 Other Force Elements 6.11 Trajectory Coordinates 6.12 Longitudinal Train Dynamics (LTD) 6.13 Hunting Stability 6.14 MBS Modeling of Electro-Mechanical Systems Chapter 7 Pantograph/Catenary Systems 7.1 Pantograph/Catenary Design 7.2 ANCF Catenary Kinematic Equations 7.3 Catenary Inertia and Elastic Forces 7.4 Catenary Equations of Motion 7.5 Pantograph/Catenary Contact Frame 7.6 Constraint Contact Formulation (CCF) 7.7 Elastic Contact Formulation (ECF) 7.8 Pantograph/Catenary Equations and MBS Algorithm 7.9 Pantograph/Catenary Contact Force Control 7.10 Aerodynamic Forces 7.11 Pantograph/Catenary Wear APPENDIX A CONTACT EQUATIONS AND ELLIPTICAL INTEGRALS A.1 Derivation of the Contact Equations A.2 Elliptical Integrals REFERENCES INDEX … (more)
- Edition:
- 1st
- Publisher Details:
- Hoboken : John Wiley & Sons, Inc
- Publication Date:
- 2020
- Extent:
- 1 online resource, illustrations
- Subjects:
- 625.10015118
Railroad engineering -- Mathematics
Railroad rails -- Mathematical models
Railroad trains -- Dynamics
Geometric analysis - Languages:
- English
- ISBNs:
- 9781119689089
- Related ISBNs:
- 9781119689065
- Notes:
- Note: Description based on CIP data; resource not viewed.
- Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.594389
- Ingest File:
- 04_063.xml