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El. knyga: Mathematical Foundation of Railroad Vehicle Systems: Geometry and Mechanics

(University of Illinois at Chicago)
  • Formatas: PDF+DRM
  • Išleidimo metai: 26-Jan-2021
  • Leidėjas: John Wiley & Sons Inc
  • Kalba: eng
  • ISBN-13: 9781119689065
Kitos knygos pagal šią temą:
Mathematical Foundation of Railroad Vehicle Systems: Geometry and MechanicsDidesnis paveikslėlis
  • Formatas: PDF+DRM
  • Išleidimo metai: 26-Jan-2021
  • Leidėjas: John Wiley & Sons Inc
  • Kalba: eng
  • ISBN-13: 9781119689065
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"Mathematical foundation of railroad vehicle systems : Geometry and mechanics develops the mathematical foundation of railroad vehicle systems with emphasis placed on the integration of geometry and mechanics. This geometry/mechanics integration is necessary for developing a sound mathematical foundation, accurate formulation of the nonlinear dynamic equations, and general computational algorithms that can be effectively used in the virtual prototyping, analysis, design, and performance evaluation of railroad vehicle systems. Mathematical foundation of railroad vehicle systems : Geometry and mechanics introduces basic concepts, formulations and computational algorithms used in railroad vehicle system dynamics. Shows how new mechanics-based approaches such as the absolute nodal coordinate formulation (ANCF) can be used to achieve the geometry/mechanics integration. It also discusses new problems and issues to be addressed in this area, and describes how geometry and mechanics approaches can be used in studying derailments"--

MASTER AND INTEGRATE THE GEOMETRY AND MECHANICS OF RAILROAD VEHICLE SYSTEM ENGINEERING WITH ONE PRACTICAL RESOURCE

Mathematical Foundation of Railroad Vehicle Systems: Geometry and Mechanics delivers a comprehensive treatment of the mathematical foundations of railroad vehicle systems. The book includes a strong emphasis on the integration of geometry and mechanics to create an accurate and accessible formulation of nonlinear dynamic equations and general computational algorithms that can be effectively used in the virtual prototyping, analysis, design, and performance evaluation of railroad vehicle systems.

Using basic concepts, formulations, and computational algorithms, including mechanics-based approaches like the absolute nodal coordinate formulation (ANCF), readers will understand how to integrate the geometry and mechanics of railroad vehicle systems. The book also discusses new problems and issues in this area and describes how geometric and mechanical approaches can be used in derailment investigations.

Mathematical Foundation of Railroad Vehicle Systems covers:

  • The mathematical foundation of railroad vehicle systems through the integration of geometry and mechanics
  • Basic concepts, formulations, and computational algorithms used in railroad vehicle system dynamics
  • New mechanics-based approaches, like the ANCF, and their use to achieve an integration of geometry and mechanics
  • Use of geometry and mechanics to study derailments
  • New problems and issues in the area of railroad vehicle systems

    • Designed for researchers and practicing engineers who work with railroad vehicle systems, Mathematical Foundation of Railroad Vehicle Systems: Geometry and Mechanics can also be used in senior undergraduate and graduate mechanical, civil, and electrical engineering programs and courses.

    Preface ix
    1 Introduction
    		1(44)
    1.1 Differential Geometry
    		4(5)
    1.2 Integration of Geometry and Mechanics
    		9(5)
    1.3 Hunting Oscillations
    		14(3)
    1.4 Wheel and Track Geometries
    		17(5)
    1.5 Centrifugal Forces and Balance Speed
    		22(4)
    1.6 Contact Formulations
    		26(2)
    1.7 Computational MBS Approaches
    		28(5)
    1.8 Derailment Criteria
    		33(3)
    1.9 High-Speed Rail Systems
    		36(5)
    1.10 Linear Algebra and Book Notations
    		41(4)
    2 Differential Geometry
    		45(38)
    2.1 Curve Geometry
    		46(8)
    2.2 Surface Geometry
    		54(3)
    2.3 Application to Railroad Geometry
    		57(3)
    2.4 Surface Tangent Plane and Normal Vector
    		60(2)
    2.5 Surface Fundamental Forms
    		62(7)
    2.6 Normal Curvature
    		69(3)
    2.7 Principal Curvatures and Directions
    		72(4)
    2.8 Numerical Representation of the Profile Geometry
    		76(2)
    2.9 Numerical Representation of Surface Geometry
    		78(5)
    3 Motion And Geometry Descriptions
    		83(42)
    3.1 Rigid-Body Kinematics
    		84(2)
    3.2 Direction Cosines and Simple Rotations
    		86(2)
    3.3 Euler Angles
    		88(3)
    3.4 Euler Parameters
    		91(4)
    3.5 Velocity and Acceleration Equations
    		95(2)
    3.6 Generalized Coordinates
    		97(3)
    3.7 Kinematic Singularities
    		100(2)
    3.8 Euler Angles and Track Geometry
    		102(5)
    3.9 Angle Representation of the Curve Geometry
    		107(1)
    3.10 Euler Angles as Field Variables
    		108(3)
    3.11 Euler-Angle Description of the Track Geometry
    		111(3)
    3.12 Geometric Motion Constraints
    		114(5)
    3.13 Trajectory Coordinates
    		119(6)
    4 Railroad Geometry
    		125(50)
    4.1 Wheel Surface Geometry
    		126(6)
    4.2 Wheel Curvatures and Global Vectors
    		132(3)
    4.3 Semi-analytical Approach for Rail Geometry
    		135(7)
    4.4 ANCF Rail Geometry
    		142(3)
    4.5 ANCF Interpolation of Rail Geometry
    		145(1)
    4.6 ANCF Computation of Tangents and Normal
    		146(2)
    4.7 Track Geometry Equations
    		148(4)
    4.8 Numerical Representation of Track Geometry
    		152(3)
    4.9 Track Data
    		155(7)
    4.10 Irregularities and Measured Track Data
    		162(7)
    4.11 Comparison of the Semi-Analytical and ANCF Approaches
    		169(6)
    5 Contact Problem
    		175(50)
    5.1 Wheel/Rail Contact Mechanism
    		177(6)
    5.2 Constraint Contact Formulation (CCF)
    		183(1)
    5.3 Elastic Contact Formulation (ECF)
    		184(3)
    5.4 Normal Contact Forces
    		187(1)
    5.5 Contact Surface Geometry
    		188(6)
    5.6 Contact Ellipse and Normal Contact Force
    		194(5)
    5.7 Creepage Definitions
    		199(4)
    5.8 Creep Force Formulations
    		203(10)
    5.9 Creep Force and Wheel/Rail Contact Formulations
    		213(6)
    5.10 Maglev Forces
    		219(6)
    6 Equations Of Motion
    		225(66)
    6.1 Newtonian and Lagrangian Approaches
    		226(1)
    6.2 Virtual Work Principle and Constrained Dynamics
    		227(5)
    6.3 Summary of Rigid-Body Kinematics
    		232(3)
    6.4 Inertia Forces
    		235(4)
    6.5 Applied Forces
    		239(2)
    6.6 Newton--Euler Equations
    		241(3)
    6.7 Augmented Formulation and Embedding Technique
    		244(10)
    6.8 Wheel/Rail Constraint Contact Forces
    		254(5)
    6.9 Wheel/Rail Elastic Contact Forces
    		259(2)
    6.10 Other Force Elements
    		261(7)
    6.11 Trajectory Coordinates
    		268(6)
    6.12 Longitudinal Train Dynamics (LTD)
    		274(6)
    6.13 Hunting Stability
    		280(8)
    6.14 MBS Modeling of Electromechanical Systems
    		288(3)
    7 Pantograph/Catenary Systems
    		291(38)
    7.1 Pantograph/Catenary Design
    		292(6)
    7.2 ANCF Catenary Kinematic Equations
    		298(6)
    7.3 Catenary Inertia and Elastic Forces
    		304(2)
    7.4 Catenary Equations of Motion
    		306(2)
    7.5 Pantograph/Catenary Contact Frame
    		308(2)
    7.6 Constraint Contact Formulation (CCF)
    		310(4)
    7.7 Elastic Contact Formulation (ECF)
    		314(3)
    7.8 Pantograph/Catenary Equations and MBS Algorithms
    		317(4)
    7.9 Pantograph/Catenary Contact Force Control
    		321(1)
    7.10 Aerodynamic Forces
    		322(2)
    7.11 Pantograph/Catenary Wear
    		324(5)
    Appendix Contact Equations and Elliptical Integrals
    		329(6)
    A.1 Derivation of the Contact Equations
    		329(3)
    A.2 Elliptical Integrals
    		332(3)
    Bibliography 335(20)
    Index 355
    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.
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