Nonholonomic Motion of Rigid Mechanical Systems from a DAE Viewpoint - Softcover

Rabier, Patrick J.; Rheinboldt, Werner C.

 
9780898714463: Nonholonomic Motion of Rigid Mechanical Systems from a DAE Viewpoint
Softcover
ISBN 10: 089871446X ISBN 13: 9780898714463
Publisher: 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.

"synopsis" may belong to another edition of this title.

Book Description

Focuses on rigid body systems subjected to kinematic constraints 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.

"About this title" may belong to another edition of this title.

Publisher
Society for Industrial and Applied Mathematics
Publication date
1987
Language
English
ISBN 10 
089871446X
ISBN 13 
9780898714463
Binding
Paperback
Number of pages
148