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Dynamics of Multibody Systems [electronic resource] /by Jens Wittenburg.

by Wittenburg, Jens [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.Edition: 2.Description: online resource.ISBN: 9783540739142.Subject(s): Engineering | Differentiable dynamical systems | Physics | Mechanical engineering | Vibration | Engineering | Vibration, Dynamical Systems, Control | Structural Mechanics | Dynamical Systems and Ergodic Theory | ComplexityDDC classification: 620 Online resources: Click here to access online
Contents:
Mathematical Notation -- Rigid Body Kinematics -- Basic Principles of Rigid Body Dynamics -- Classical Problems of Rigid Body Mechanics -- General Multibody Systems -- Impact Problems in Multibody Systems.
In: Springer eBooksSummary: Multibody systems investigated in the book are composed of rigid bodies. The bodies are interconnected in an arbitrary configuration by joints and force elements of arbitrary nature. Typical examples of multibody systems are linkages in machines, vehicles and industrial robots. A characteristic feature of the formalism presented is the application of graph-theoretical concepts. The interconnection structure of a multibody system is mapped onto a graph whose vertices and arcs represent bodies and interconnections of bodies, respectively. Codes based on the formalism have found important applications in the automotive industry and in other branches of engineering. Special systems investigated in the book are systems with tree-structure, systems with revolute joints only, systems with spherical joints only, systems with nonholonomic constraints and systems in planar motion. By applying the said concepts of graph theory to linear oscillators new formulations are found for mass-, damping and stiffness matrices. A separate chapter is devoted to the problem of collision of a multibody system either with another multibody system or with itself. Introductory chapters deal with basic elements of rigid body kinematics and dynamics. A short chapter is devoted to classical, analytically soluable problems of rigid body dynamics. This book is addressed to graduate students and to R & D engineers.
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Mathematical Notation -- Rigid Body Kinematics -- Basic Principles of Rigid Body Dynamics -- Classical Problems of Rigid Body Mechanics -- General Multibody Systems -- Impact Problems in Multibody Systems.

Multibody systems investigated in the book are composed of rigid bodies. The bodies are interconnected in an arbitrary configuration by joints and force elements of arbitrary nature. Typical examples of multibody systems are linkages in machines, vehicles and industrial robots. A characteristic feature of the formalism presented is the application of graph-theoretical concepts. The interconnection structure of a multibody system is mapped onto a graph whose vertices and arcs represent bodies and interconnections of bodies, respectively. Codes based on the formalism have found important applications in the automotive industry and in other branches of engineering. Special systems investigated in the book are systems with tree-structure, systems with revolute joints only, systems with spherical joints only, systems with nonholonomic constraints and systems in planar motion. By applying the said concepts of graph theory to linear oscillators new formulations are found for mass-, damping and stiffness matrices. A separate chapter is devoted to the problem of collision of a multibody system either with another multibody system or with itself. Introductory chapters deal with basic elements of rigid body kinematics and dynamics. A short chapter is devoted to classical, analytically soluable problems of rigid body dynamics. This book is addressed to graduate students and to R & D engineers.

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