Mathematical Foundation of Railroad Vehicle Systems: Geometry and Mechanics

ISBN-13: 9781119689041 / Angielski / Twarda / 2021 / 384 str.

Ahmed a. Shabana

Spis treści

PREFACEChapter 1INTRODUCTION1.1 Differential Geometry1.2 Integration of Geometry and Mechanics1.3 Hunting Oscillations1.4 Wheel and Track Geometries1.5 Centrifugal Forces and Balance Speed1.6 Contact Formulations1.7 Computational MBS Approaches1.8 Derailment Criteria1.9 High-Speed Rail Systems1.10 Linear Algebra and Book NotationsChapter 2 Differential Geometry2.1 Curve Geometry2.2 Surface Geometry2.3 Application to Railroad Geometry2.4 Surface Tangent Plane and Normal Vector2.5 Surface Fundamental Forms2.6 Normal Curvature2.7 Principal Curvatures and Directions2.8 Numerical Representation of the Profile Geometry2.9 Numerical Representation of the Surface GeometryCHAPTER 3 MOTION AND GEOMETRY DESCRIPTION3.1 Rigid Body Kinematics3.2 Direction Cosines and Simple Rotations3.3 Euler Angles3.4 Euler Parameters3.5 Velocity and Acceleration Equations3.6 Generalized Coordinates3.7 Kinematic Singularities3.8 Euler Angles and Track Geometry3.9 Angle Representation of the Curve Geometry3.10 Euler Angles as Field Variables3.11 Euler-Angle Description of the Track Geometry3.12 Geometric Motion Constraints3.13 Trajectory CoordinatesCHAPTER 4 RAILROAD GEOMETRY4.1 Wheel Surface Geometry4.2 Wheel Curvatures and Global Vectors4.3 Semi-Analytical Approach for Rail Geometry4.4 ANCF Rail Geometry4.5 ANCF Interpolation of the Rail Geometry4.6 ANCF Computation of the Tangents and Normal4.7 Track Geometry Equations4.8 Numerical Representation of the Track Geometry4.9 Track Data4.10 Irregularities and Measured Track Data4.11 Comparison of the Semi-Analytical and ANCF ApproachesCHAPTER 5 CONTACT PROBLEM5.1 Wheel/Rail Contact Mechanism5.2 Constraint Contact Formulation (CCF)5.3 Elastic Contact Formulation (ECF)5.4 Normal Contact Forces5.5 Contact Surface Geometry5.6 Contact Ellipse and Normal Contact Force5.7 Creepage Definitions5.8 Creep Force Formulations5.9 Creep Force and Wheel/Rail Contact Formulations5.10 Maglev ForcesCHAPTER 6 Equations of Motion6.1 Newtonian and Lagrangian Approaches6.2 Virtual Work Principle and Constrained Dynamics6.3 Summary of the Rigid Body Kinematics6.4 Inertia Forces6.5 Applied Forces6.6 Newton-Euler Equations6.7 Augmented Formulation and Embedding Technique6.8 Wheel/Rail Constraint Contact Forces6.9 Wheel/Rail Elastic Contact Forces6.10 Other Force Elements6.11 Trajectory Coordinates6.12 Longitudinal Train Dynamics (LTD)6.13 Hunting Stability6.14 MBS Modeling of Electro-Mechanical SystemsChapter 7 Pantograph/Catenary Systems7.1 Pantograph/Catenary Design7.2 ANCF Catenary Kinematic Equations7.3 Catenary Inertia and Elastic Forces7.4 Catenary Equations of Motion7.5 Pantograph/Catenary Contact Frame7.6 Constraint Contact Formulation (CCF)7.7 Elastic Contact Formulation (ECF)7.8 Pantograph/Catenary Equations and MBS Algorithm7.9 Pantograph/Catenary Contact Force Control7.10 Aerodynamic Forces7.11 Pantograph/Catenary WearAPPENDIX A CONTACT EQUATIONS AND ELLIPTICAL INTEGRALSA.1 Derivation of the Contact EquationsA.2 Elliptical IntegralsREFERENCESINDEX

O autorze

AHMED A. SHABANA is University Distinguished Professor and the Richard and Loan Hill Professor of Engineering at the University of Illinois at Chicago, United States. He is a Fellow of the American Society of Mechanical Engineers (ASME), a Fellow of the Society of Automotive Engineering (SAE International), and the author of texts in the areas of dynamics and vibration.