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020 a| 9781785482311q| (hardback);

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049 a| EREEa| NEHH;

050 00 a| QA387b| .C47 2018;

082 04 a| 621.8112| 23;

100 1 a| Chevallier, Dominique P.?| UNAUTHORIZED;

245 10 a| Multi-body kinematics and dynamics with Lie groupsh| [electronic resource] /c| Dominique P. Chevallier, Jean Lerbet.;

260 a| London, UK :b| ISTE Press/Elsevier,c| 2018.;

300 a| xvii, 315 pages :b| illustrations ;c| 24 cm.;

490 1 a| Mechanical engineering and solid mechanics;

504 a| Includes bibliographical references (pages 305-311) and index.;

506 a| Available only to authorized users.;

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.;

538 a| Mode of access: World Wide Web;

650 0 a| Machinery, Kinematics ofx| Mathematical models.=| ^A76215;

650 0 a| Machinery, Dynamics ofx| Mathematical models.=| ^A133119;

650 0 a| Lie groups.=| ^A17435;

650 0 a| Multibody systems.=| ^A1305037;

650 7 a| Lie groups.2| fast0| (OCoLC)fst00998135;

650 7 a| Machinery, Dynamics ofx| Mathematical models.2| fast0| (OCoLC)fst01005106;

650 7 a| Machinery, Kinematics ofx| Mathematical models.2| fast0| (OCoLC)fst01005110;

650 7 a| Multibody systems.2| fast0| (OCoLC)fst01894665;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Lerbet, Jean.?| UNAUTHORIZED;

830 0 a| Mechanical engineering and solid mechanics series.=| ^A1157181;

856 40 z| Full text available from eBook - Engineering 2018u| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Fwww.sciencedirect.com%2Fscience%2Fbook%2F9781785482311;

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Multi-body kinematics and dynamics with Lie groups / Dominique P. Chevallier, Jean Lerbet.

Author/creator	Chevallier, Dominique P.
Other author	Lerbet, Jean.
Format	Electronic
Publication Info	London, UK : ISTE Press/Elsevier, 2018.
Description	xvii, 315 pages : illustrations ; 24 cm.
Supplemental Content	Full text available from eBook - Engineering 2018
Subjects	Machinery, Kinematics of--Mathematical models. Machinery, Dynamics of--Mathematical models. Lie groups. Multibody systems.

Series	Mechanical engineering and solid mechanics Mechanical engineering and solid mechanics series. ^A1157181
Abstract	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.
Bibliography note	Includes bibliographical references (pages 305-311) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2017277562
ISBN	9781785482311 (hardback)
ISBN	1785482319 (hardback)

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Multi-body kinematics and dynamics with Lie groups / Dominique P. Chevallier, Jean Lerbet.

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