The number of buckled states of circular plates.
| Autor: | Marko, Ľubomír |
|---|---|
| Jazyk: | angličtina |
| Předmět: |
matematika
mathematics články journal articles Fredholm operator static equilibrium plate of constant thickness Fredholm map of index zero singular point rotationally symmetric buckled states von Kármán plate equations operator equation proper Sobolev space local bifurcation behavior nodal properties |
| Druh dokumentu: | Non-fiction |
| ISSN: | 0373-6725 |
| Abstrakt: | Abstract: This paper deals with the exact number of solutions of von Kármán equations for a rotationally symmetric buckling of a thin elastic plate. The plate of constant thickness is in static equilibrium under a uniform compressive thrust applied along its edge in the plane of the plate. The theory of M. G. Crandall, P. H. Rabinowitz [4], is used and the theory of M. S. Berger [1], [3] and M. S. Berger and P. C. Fife [2] is adapted. This work is a part of [6]. |
| Databáze: | Katalog Knihovny AV ČR |
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