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Dynamics of Multibody Systems, 3rd Edition, first published in 2005, introduces multibody dynamics, with an emphasis on flexible body dynamics. Many common mechanisms such as automobiles, space structures, robots and micromachines have mechanical and structural systems that consist of interconnected rigid and deformable components. The dynamics of these large-scale, multibody systems are highly nonlinear, presenting complex problems that in most cases can only be solved with computer-based techniques. The book begins with a review of the basic ideas of kinematics and the dynamics of rigid and deformable bodies before moving on to more advanced topics and computer implementation. This revised third edition now includes important developments relating to the problem of large deformations and numerical algorithms as applied to flexible multibody systems. The book's wealth of examples and practical applications will be useful to graduate students, researchers, and practising engineers working on a wide variety of flexible multibody systems.

531.3 --- Dynamics --- Kinematics --- Mathematics --- Mechanics --- Motion --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Physics --- Statics --- Dynamics. Kinetics --- 531.3 Dynamics. Kinetics --- Multibody systems --- Multi-body systems --- Systems, Multibody --- Dynamics. --- Kinematics. --- Dynamique. --- Multibody systems. --- Mécanique analytique. --- Cinématique.

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Dynamics. --- Kinematics. --- Cinématique --- Matrices --- Cinématique --- Dynamique

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"The primary purpose of this book is to develop methods for the dynamic analysis of multibody systems (MBS) that consist of interconnected rigid and deformable components. In that sense, the objective may be considered as a generalization of methods of structural and rigid body analysis. Many mechanical and structural systems such as vehicles, space structures, robotics, mechanisms, and aircraft consist of interconnected components that undergo large translational and rotational displacements. Figure 1.1 shows examples of such systems that can be modeled as multibody systems. In general, a multibody system is defined to be a collection of subsystems called bodies, components, or substructures. The motion of the subsystems is kinematically constrained because of different types of joints, and each subsystem or component may undergo large translations and rotational displacements" [Publisher]

531.3 --- Multibody systems --- Kinematics --- Mathematics --- Mechanics --- Motion --- Multi-body systems --- Systems, Multibody --- Mechanics, Analytic --- 531.3 Dynamics. Kinetics --- Dynamics. Kinetics --- Dynamics. --- Dynamique. --- Multibody systems. --- Mécanique analytique. --- Kinematics. --- Cinématique. --- Mécanique analytique. --- Cinématique.

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This fully revised and updated third edition covers the physical and mathematical fundamentals of vibration analysis, including single degree of freedom, multi-degree of freedom, and continuous systems. Adding a new chapter on special topics such as motion control, impact dynamics, and nonlinear dynamics, this textbook imparts a sound understanding of the fundamental theory of vibration and its applications. In a simple and systematic manner, it presents techniques that can easily be applied to the analysis of vibration of mechanical and structural systems. Unlike other texts on vibrations, the approach is general, based on the conservation of energy and Lagrangian dynamics, and develops specific techniques from these foundations in clearly understandable stages. Suitable for a one-semester course on vibrations, the book presents new concepts in simple terms and explains procedures for solving problems in considerable detail. It contains numerous exercises, examples and end-of-chapter problems. Features updates and revisions to all chapters as well as new sections on motion control, impact dynamics, and nonlinear dynamics; Provides lucid yet rigorous review of the mathematics needed for the solution of the vibration equations; Presents complete coverage of the theory of vibration with focus of the fundamentals, numerical and computer methods;; Reinforces concepts with numerous exercises and examples and end-of-chapter problems; Includes a Fortran code for solving ODEs of nonlinear vibration systems.

Space research --- Astronomy --- Classical mechanics. Field theory --- Statistical physics --- Mechanical properties of solids --- Solid state physics --- Applied physical engineering --- Transport engineering --- Engineering sciences. Technology --- patroonherkenning --- chaos --- toegepaste wiskunde --- astronauten --- theoretische fysica --- toegepaste mechanica --- motorrijtuigen --- ingenieurswetenschappen --- ruimtevaart --- mechanica --- dynamica --- optica

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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"--

Railroad engineering --- Mathematics.