THE SWALLOWTAIL AND BUTTERFLY CUSPOIDS AND THEIR APPLICATION IN THE INITIAL POST-BUCKLING OF SINGLE-MODE STRUCTURAL SYSTEMS

THE SWALLOWTAIL AND BUTTERFLY CUSPOIDS AND THEIR APPLICATION IN THE INITIAL POST-BUCKLING OF SINGLE-MODE STRUCTURAL SYSTEMS

This paper investigates the swallowtail and butterfly catastrophes from the point of view which is applicable in the theory of elastic stability. Thus, the results are concerned with the various forms of these instabilities as well as the determination of the critical load surfaces which are of engi...

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Veröffentlicht in:Quarterly of applied mathematics 1980-04, Vol.38 (1), p.17-36
Hauptverfasser: HUI, DAVID, HANSEN, JORN S.
Format: Artikel
Sprache:eng
Schlagworte:
Bifurcation theory
Buckles
Buckling
Catastrophe theory
Cylindrical shells
Damping
Differential equations
Disasters
Potential energy
Symmetry
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Beschreibung
Zusammenfassung:This paper investigates the swallowtail and butterfly catastrophes from the point of view which is applicable in the theory of elastic stability. Thus, the results are concerned with the various forms of these instabilities as well as the determination of the critical load surfaces which are of engineering significance. It is demonstrated that the results are applicable to an axially loaded beam resting on a nonlinear elastic foundation.
ISSN:0033-569X
1552-4485
DOI:10.1090/qam/575830