Mathematical Foundation of Railroad Vehicle Systems

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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.