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Multi-body kinematics and dynamics with Lie groups /
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 alge...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London : Oxford :
ISTE Press Ltd ; Elsevier Ltd,
2018.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 072 | 7 | |a MAT |x 002040 |2 bisacsh | |
| 082 | 0 | 4 | |a 512.55 |2 23 |
| 100 | 1 | |a Chevallier, Dominique P., |e author. | |
| 245 | 1 | 0 | |a Multi-body kinematics and dynamics with Lie groups / |c Dominique P. Chevallier, Jean Lerbet. |
| 264 | 1 | |a London : |b ISTE Press Ltd ; |a Oxford : |b Elsevier Ltd, |c 2018. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed December, 05, 2017). | |
| 520 | |a 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. | ||
| 650 | 0 | |a Lie groups. | |
| 650 | 0 | |a Kinematics. | |
| 650 | 0 | |a Group theory. | |
| 650 | 0 | |a Multibody systems. | |
| 650 | 6 | |a Groupes de Lie. |0 (CaQQLa)201-0025325 | |
| 650 | 6 | |a Cin�ematique. |0 (CaQQLa)201-0024412 | |
| 650 | 6 | |a Th�eorie des groupes. |0 (CaQQLa)201-0000039 | |
| 650 | 6 | |a Syst�emes multicorps. |0 (CaQQLa)000265674 | |
| 650 | 7 | |a kinematics. |2 aat |0 (CStmoGRI)aat300065458 | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Group theory |2 fast |0 (OCoLC)fst00948521 | |
| 650 | 7 | |a Kinematics |2 fast |0 (OCoLC)fst00987608 | |
| 650 | 7 | |a Lie groups |2 fast |0 (OCoLC)fst00998135 | |
| 650 | 7 | |a Multibody systems |2 fast |0 (OCoLC)fst01894665 | |
| 700 | 1 | |a Lerbet, Jean, |e author. | |
| 776 | 0 | 8 | |i Print version: |a Chevallier, Dominique P. |t Multi-body kinematics and dynamics with lie groups. |d London, England ; Oxford, England : ISTE Press ; Elsevier, �2018 |h xviii, 317 pages |z 9781785482311 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9781785482311 |z Texto completo |