Nonholonomic Motion of Rigid Mechanical Systems from a DAE Viewpoint - Couverture souple

Rabier, Patrick J.; Rheinboldt, Werner C.

 
9780898714463: Nonholonomic Motion of Rigid Mechanical Systems from a DAE Viewpoint
Couverture souple
ISBN 10 : 089871446X ISBN 13 : 9780898714463
Editeur : Society for Industrial and Applied Mathematics, 1987

Synopsis

This book contains a unique description of the nonholonomic motion of systems of rigid bodies by differential algebraic systems. Nonholonomic Motion of Rigid Mechanical Systems from a DAE Viewpoint focuses on rigid body systems subjected to kinematic constraints (constraints that depend on the velocities of the bodies, e.g., as they arise for nonholonomic motions) and discusses in detail how the equations of motion are developed. The authors show that such motions can be modeled in terms of differential algebraic equations (DAEs), provided only that the correct variables are introduced. Several issues are investigated in depth to provide a sound and complete justification of the DAE model. These issues include the development of a generalized Gauss principle of least constraint, a study of the effect of the failure of an important full-rank condition, and a precise characterization of the state spaces.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book contains a unique description of the nonholonomic motion of systems of rigid bodies by differential algebraic systems. Nonholonomic Motion of Rigid Mechanical Systems from a DAE Viewpoint focuses on rigid body systems subjected to kinematic constraints (constraints that depend on the velocities of the bodies, e.g., as they arise for nonholonomic motions) and discusses in detail how the equations of motion are developed. The authors show that such motions can be modeled in terms of differential algebraic equations (DAEs), provided only that the correct variables are introduced. Several issues are investigated in depth to provide a sound and complete justification of the DAE model. These issues include the development of a generalized Gauss principle of least constraint, a study of the effect of the failure of an important full-rank condition, and a precise characterization of the state spaces.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Society for Industrial and Applied Mathematics
Date d'édition
1987
Langue
anglais
ISBN 10 
089871446X
ISBN 13 
9780898714463
Reliure
Broché
Nombre de pages
148
Coordonnées du fabricant
non disponible
Personne responsable
non disponible