Author: X. AntomariPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Lecons de cinematique et de dynamique
Author: X. AntomariBibliotheca Chemico-mathematica
Author: Henry Sotheran LtdPublisher:
ISBN:
Category : Booksellers' catalogs
Languages : en
Pages : 600
Book Description
Bibliotheca Reuteriana
Author: Auguste Julius Clemens Herbert baron de ReuterPublisher:
ISBN:
Category :
Languages : en
Pages : 292
Book Description
The Mathematical Review
Author: The Mathematical Review
Author: William Edward StoryPublisher:
ISBN:
Category :
Languages : en
Pages : 242
Book Description
Bulletin
Author: New York Mathematical SocietyPublisher:
ISBN:
Category :
Languages : en
Pages : 292
Book Description
Bulletin of the New York Mathematical Society
Author: Bulletin (new Series) of the American Mathematical Society
Author: Sotheran's Price Current of Literature
Author: Multi-Body Kinematics and Dynamics with Lie Groups
Author: Dominique Paul ChevallierPublisher: Elsevier
ISBN: 008102357X
Category : Technology & Engineering
Languages : en
Pages : 336
Book Description
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