| Title:
|
A theoretical approach to the problem of the most dangerous initial deflection shape in stability type structural problems (English) |
| Author:
|
Sadovský, Zoltán |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
23 |
| Issue:
|
4 |
| Year:
|
1978 |
| Pages:
|
248-266 |
| Summary lang:
|
English |
| Summary lang:
|
Slovak |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
The author introduces a global measure of initial deflection given by the energy norm. Solving the formulated minimization problem with a subsidiary condition the most dangerous initial deflection shape is obtained. The theoretical results include a wide range of stability type structural problems. (English) |
| Keyword:
|
dangerous initial diflection shape |
| Keyword:
|
thin elastic plate |
| Keyword:
|
Foeppl-Karman-Marguerre |
| Keyword:
|
Sobolev’s space |
| Keyword:
|
real separable Hilbert space |
| Keyword:
|
potential energy |
| Keyword:
|
variational inequalities |
| MSC:
|
00A89 |
| MSC:
|
73H99 |
| MSC:
|
73K99 |
| MSC:
|
74B20 |
| MSC:
|
74G60 |
| MSC:
|
74K20 |
| idZBL:
|
Zbl 0402.73063 |
| idMR:
|
MR0495428 |
| DOI:
|
10.21136/AM.1978.103751 |
| . |
| Date available:
|
2008-05-20T18:09:45Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103751 |
| . |
| Reference:
|
[1] Bauer L., Reiss E. L.: Nonlinear buckling of rectangular plates.J. Soc. Ind. Appl. Math., 13 (1965), 3, 603-625. 10.1137/0113039 |
| Reference:
|
[2] Sadovský Z.: Rectangular thin plate in shear - theoretical solution.(in Slovak). Staveb. Čas., 25 (1977), 3, 197-228. |
| Reference:
|
[3] Hlaváček I.: Einfluss der Form der Anfangskrümmung auf das Ausbeulen der gedrückten rechteckigen Platte.Acta Technica ČSAV, 7 (1962), 2, 174-206. |
| Reference:
|
[4] Sadovský Z.: Influence of initial imperfections and boundary conditions on stability of shallow shells and thin plates.(in Slovak). Research rep., ÚSTARCH SAV, Bratislava Dec. 1975. |
| Reference:
|
[5] Berger M. S.: On von Kármán's equations and the buckling of a thin elastic plate, I. The clamped plate.Comm. Pure Appl. Math., 20 (1967), 687-719. MR 0221808, 10.1002/cpa.3160200405 |
| Reference:
|
[6] Berger M. S., Fife P. C.: Von Kármán's equations and the buckling of a thin elastic plate, II. Plate with general edge conditions.Comm. Pure Appl. Math., 21 (1968), 227-241. Zbl 0162.56501, MR 0229978, 10.1002/cpa.3160210303 |
| Reference:
|
[7] Vainberg M. M.: Variational methods for the study of nonlinear operators.(in Russian). Gostechizdat, Moscow 1956. |
| . |
