9780898714463
Nonholonomic Motion Of Rigid Mechanical Systems From A DAE Viewpoint - Patrick J. Rabier, Werner C. Rheinboldt
Society for Industrial Mathematics (1987)
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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.

Product Details
LoC Classification QA861.R33 2000
Dewey 515.35
Format Paperback
Cover Price 47,00 €
No. of Pages 148
Height x Width 249 x 175 mm
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