Multi-Body Kinematics and Dynamics with Lie Groups (ePub)

Name: Multi-Body Kinematics and Dynamics with Lie Groups
Brand: Elsevier Science & Techn.
SKU: 94365169
Price: 204.90 CHF
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(Sprache: Englisch)

Autoren: Dominique Paul Chevallier , Jean Lerbet

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Multi-Body Kinematics and Dynamics with Lie Groups, Dominique Paul Chevallier, Jean Lerbet

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Multi-body Kinematics and Dynamics with Lie Groups explores the use of Lie groups in the kinematics and dynamics of rigid body systems.

The first chapter reveals the formal properties of Lie groups on the examples of rotation and Euclidean...

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Multi-body Kinematics and Dynamics with Lie Groups explores the use of Lie groups in the kinematics and dynamics of rigid body systems.

The first chapter reveals the formal properties of Lie groups on the examples of rotation and Euclidean displacement groups. Chapters 2 and 3 show the specific algebraic properties of the displacement group, explaining why dual numbers play a role in kinematics (in the so-called screw theory). Chapters 4 to 7 make use of those mathematical tools to expound the kinematics of rigid body systems and in particular the kinematics of open and closed kinematical chains. A complete classification of their singularities demonstrates the efficiency of the method.

Dynamics of multibody systems leads to very big computations. Chapter 8 shows how Lie groups make it possible to put them in the most compact possible form, useful for the design of software, and expands the example of tree-structured systems.

This book is accessible to all interested readers as no previous knowledge of the general theory is required.

Presents a overview of the practical aspects of Lie groups based on the example of rotation groups and the Euclidean group
Makes it clear that the interface between Lie groups methods in mechanics and numerical calculations is very easy
Includes theoretical results that have appeared in scientific articles

Autoren-Porträt von Dominique Paul Chevallier, Jean Lerbet

Dominique P. Chevallier is Emeritus Research Director at Navier Laboratory, Ecole Nationale des Ponts et Chaussées in France. His research interests are the mathematical methods of mechanics.

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Autoren: Dominique Paul Chevallier , Jean Lerbet
2017, 334 Seiten, Englisch
Verlag: Elsevier Science & Techn.
ISBN-10: 008102357X
ISBN-13: 9780081023570
Erscheinungsdatum: 22.11.2017

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Dateiformat: ePub
Grösse: 13 MB
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Englisch

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