Imperfect bifurcation in structure and materials : engineering use of group theoretic bifurcation theory. Applied mathematical sciences ; Vol. 149

Ikeda, Kiyohiro and Kazuo Murota:

ISBN 10: 0387954090 / ISBN 13: 9780387954097

Verlag: New York ; Berlin ; Heidelberg ; Barcelona ; Hong Kong ; London ; Milan ; Paris ; Singapore ; Tokyo : Springer, 2002

XVII, 411 Seiten mit zahlreichen graphischen Darstellungen ; 24 cm. FRISCHES, SEHR schönes Exemplar der ERSTAUSGABE. We offer a lot of books on PHYSICS and MATHEMATICS on stock in EXCELLENT shape). Sprache: Englisch Gewicht in Gramm: 752. Bestandsnummer des Verkäufers 296673

Inhaltsangabe:

Many physical systems lose or gain stability and pattern through bifurca­ tion behavior. Extensive research of this behavior is carried out in many fields of science and engineering. The study of dynamic bifurcation be­ havior, for example, has made clear the mechanism of dynamic instability and chaos. The group-theoretic bifurcation theory is an established means to deal with the formation and selection of patterns in association with symmetry-breaking bifurcation. Since all physical systems are "imperfect," in that they inevitably involve some initial imperfections, the study of im­ perfect bifurcation (bifurcation of imperfect systems) has drawn a keen mathematical interest to yield a series of important results, such as the universal unfolding. In structural mechanics, bifurcation behavior has been studied to model the buckling and failure of structural systems. The sharp reduction of the strength of structural systems by initial imperfections is formulated as im­ perfection sensitivity laws. A series of statistical studies has been conducted to make clear the dependence of the strength of structures on the statis­ tical variation of initial imperfections. A difficulty in these studies arises from the presence of a large number of initial imperfections. At this state, most of these studies are carried out based on the Monte Carlo simulation for a number of initial imperfections, or, on an imperfection sensitivity law against a single initial imperfection.

Bibliografische Details

Titel: Imperfect bifurcation in structure and ...
Verlag: New York ; Berlin ; Heidelberg ; Barcelona ; Hong Kong ; London ; Milan ; Paris ; Singapore ; Tokyo : Springer
Erscheinungsdatum: 2002
Einband: Originalpappband.
Zustand: Wie neu
Auflage: ERSTAUSGABE.