A theoretical approach to the problem of the most dangerous initial deflection shape in stability type structural problems
Aplikace matematiky (1978)
- Volume: 23, Issue: 4, page 248-266
- ISSN: 0862-7940
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topSadovský, Zoltán. "A theoretical approach to the problem of the most dangerous initial deflection shape in stability type structural problems." Aplikace matematiky 23.4 (1978): 248-266. <http://eudml.org/doc/15055>.
@article{Sadovský1978,
abstract = {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.},
author = {Sadovský, Zoltán},
journal = {Aplikace matematiky},
keywords = {dangerous initial diflection shape; thin elastic plate; Foeppl-Karman-Marguerre; Sobolev’s space; real separable Hilbert space; potential energy; variational inequalities; Dangerous Initial Diflection Shape; Thin Elastic Plate; Foeppl-Karman- Marguerre; Sobolev's Space; Real Separable Hilbert Space; Potential Energy; Variational Inequalities},
language = {eng},
number = {4},
pages = {248-266},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A theoretical approach to the problem of the most dangerous initial deflection shape in stability type structural problems},
url = {http://eudml.org/doc/15055},
volume = {23},
year = {1978},
}
TY - JOUR
AU - Sadovský, Zoltán
TI - A theoretical approach to the problem of the most dangerous initial deflection shape in stability type structural problems
JO - Aplikace matematiky
PY - 1978
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 23
IS - 4
SP - 248
EP - 266
AB - 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.
LA - eng
KW - dangerous initial diflection shape; thin elastic plate; Foeppl-Karman-Marguerre; Sobolev’s space; real separable Hilbert space; potential energy; variational inequalities; Dangerous Initial Diflection Shape; Thin Elastic Plate; Foeppl-Karman- Marguerre; Sobolev's Space; Real Separable Hilbert Space; Potential Energy; Variational Inequalities
UR - http://eudml.org/doc/15055
ER -
References
top- Bauer L., Reiss E. L., 10.1137/0113039, J. Soc. Ind. Appl. Math., 13 (1965), 3, 603-625. (1965) DOI10.1137/0113039
- Sadovský Z., Rectangular thin plate in shear - theoretical solution, (in Slovak). Staveb. Čas., 25 (1977), 3, 197-228. (1977)
- Hlaváček I., Einfluss der Form der Anfangskrümmung auf das Ausbeulen der gedrückten rechteckigen Platte, Acta Technica ČSAV, 7 (1962), 2, 174-206. (1962)
- 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. (1975)
- Berger M. S., 10.1002/cpa.3160200405, Comm. Pure Appl. Math., 20 (1967), 687-719. (1967) MR0221808DOI10.1002/cpa.3160200405
- Berger M. S., Fife P. C., 10.1002/cpa.3160210303, Comm. Pure Appl. Math., 21 (1968), 227-241. (1968) Zbl0162.56501MR0229978DOI10.1002/cpa.3160210303
- Vainberg M. M., Variational methods for the study of nonlinear operators, (in Russian). Gostechizdat, Moscow 1956. (1956)
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