Rabier Patrick J (6 results)

Mar 01, 1990. Condition: Used: Acceptable. Springer-Verlag, 1989, in-8 broché, 148 pages. Couverture en bel état. Intérieur frais. Exemplaire de bibliothèque : petit code barre en pied de 1re de couv., cotation au dos, rares et discrets petits tampons à l?intérieur de l?ouvrage. [BT9].

Paperback. Condition: New. Containing a unique description of the nonholonomic motion of systems of rigid bodies by differential algebraic systems, this book 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. In particular, when the mentioned full-rank condition is not satisfied, this book shows how a new set of equivalent constraints can be constructed in a completely intrinsic way, where, in general, these new constraints comply with the full-rank requirement.Several equivalent DAE formulations are discussed and analyzed thoroughly. The value of these DAE models rests upon the premise that they are more accessible than others to an effective numerical treatment. To substantiate this, a numerical algorithm is presented and numerical results for several standard problems are included to demonstrate the efficiency of this approach.

Condition: BUONO USATO. Recerches en Mathématiques Appliquées Francese Volume n. 11 di collana diretta da P.G. Ciarlet e J.-L. Lions, brossura editoriale, copertina in cartoncino velata di polvere, piega da scaffalatura nell'angolo superiore in prima, normali ombre da lettura ai tagli, molteplici formule e grafici corredano il testo nelle pagine pulite e intatte. N. pag. 150.

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Paperback. Condition: New. Containing a unique description of the nonholonomic motion of systems of rigid bodies by differential algebraic systems, this book 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. In particular, when the mentioned full-rank condition is not satisfied, this book shows how a new set of equivalent constraints can be constructed in a completely intrinsic way, where, in general, these new constraints comply with the full-rank requirement.Several equivalent DAE formulations are discussed and analyzed thoroughly. The value of these DAE models rests upon the premise that they are more accessible than others to an effective numerical treatment. To substantiate this, a numerical algorithm is presented and numerical results for several standard problems are included to demonstrate the efficiency of this approach.

150 Seiten, Fadenheftung, Format 16 x 24,1 cm, originalkartonierter u. glanzkaschierter Einband (Collection Recherches en Mathématiques Appliquées, RMA 11). * Zweite u. dritte ISBN: 0-387-51551-8 + 3-540-51551-8. References + Index auf den Seiten 145-150. Erhaltung: Auf dem rückseitigen Deckel ein Preis-Etikett (DM 45,00). Sonst keine weiteren Mängel und insgesamt sehr gut erhalten [Eine größere Sammlung Physik, Mathematik, Astronomie und verwandte Gebiete wird derzeit in den Bestand eingearbeitet. Sie finden diese Titel bei uns in den gleichnamigen Rubriken]. Sprache: Englisch.