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...
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| Hauptverfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
ISTE Press Ltd
2018
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| Schlagworte: | |
| Online-Zugang: | FLA01 Volltext Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Includes bibliographical references |
| Beschreibung: | 1 online resource |
| ISBN: | 9780081023570 008102357X |
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| 245 | 1 | 0 | |a Multi-body kinematics and dynamics with Lie groups |c Dominique P. Chevallier, Jean Lerbet |
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| 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 | ||
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Datensatz im Suchindex
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| author | Chevallier, Dominique P. Lerbet, Jean |
| author_facet | Chevallier, Dominique P. Lerbet, Jean |
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| bvnumber | BV046127051 |
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| dewey-full | 512.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.55 |
| dewey-search | 512.55 |
| dewey-sort | 3512.55 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV046127051 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:35:55Z |
| institution | BVB |
| isbn | 9780081023570 008102357X |
| language | English |
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| publisher | ISTE Press Ltd |
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| spelling | Chevallier, Dominique P. Verfasser aut Multi-body kinematics and dynamics with Lie groups Dominique P. Chevallier, Jean Lerbet London ISTE Press Ltd 2018 1 online resource txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references 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 MATHEMATICS / Algebra / Intermediate bisacsh Group theory fast Kinematics fast Lie groups fast Multibody systems fast Lie groups Kinematics Group theory Multibody systems Lerbet, Jean aut Erscheint auch als Druck-Ausgabe 9781785482311 https://www.sciencedirect.com/science/book/9781785482311 Verlag URL des Erstveröffentlichers Volltext http://www.sciencedirect.com/science/book/9781785482311 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Chevallier, Dominique P. Lerbet, Jean Multi-body kinematics and dynamics with Lie groups MATHEMATICS / Algebra / Intermediate bisacsh Group theory fast Kinematics fast Lie groups fast Multibody systems fast Lie groups Kinematics Group theory Multibody systems |
| title | Multi-body kinematics and dynamics with Lie groups |
| title_auth | Multi-body kinematics and dynamics with Lie groups |
| title_exact_search | Multi-body kinematics and dynamics with Lie groups |
| title_full | Multi-body kinematics and dynamics with Lie groups Dominique P. Chevallier, Jean Lerbet |
| title_fullStr | Multi-body kinematics and dynamics with Lie groups Dominique P. Chevallier, Jean Lerbet |
| title_full_unstemmed | Multi-body kinematics and dynamics with Lie groups Dominique P. Chevallier, Jean Lerbet |
| title_short | Multi-body kinematics and dynamics with Lie groups |
| title_sort | multi body kinematics and dynamics with lie groups |
| topic | MATHEMATICS / Algebra / Intermediate bisacsh Group theory fast Kinematics fast Lie groups fast Multibody systems fast Lie groups Kinematics Group theory Multibody systems |
| topic_facet | MATHEMATICS / Algebra / Intermediate Group theory Kinematics Lie groups Multibody systems |
| url | https://www.sciencedirect.com/science/book/9781785482311 http://www.sciencedirect.com/science/book/9781785482311 |
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