Kniha Multi-Body Kinematics and Dynamics with Lie Groups Dominique P. Chevallier

Multi-Body Kinematics and Dynamics with Lie Groups

Jazyk: Angličtina
Väzba: Pevná
Dostupnosť: U vydavateľa na objednávku
Odosielame za 28-34 dní
177.20
Multi-body Kinematics and Dynamics with Lie Groups explores the use of Lie groups in the kinematics...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
2017
Stránok
334
EAN
9781785482311
ISBN
1785482319
Enbook ID
16036745
Hmotnosť
678
Rozmery
159 x 237 x 24

Kompletný popis

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 groupMakes it clear that the interface between Lie groups methods in mechanics and numerical calculations is very easyIncludes theoretical results that have appeared in scientific articles

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