A theoretical approach to the problem of the most dangerous initial deflection shape in stability type structural problems

Zoltán Sadovský

Aplikace matematiky (1978)

  • Volume: 23, Issue: 4, page 248-266
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Sadovský, 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

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  1. Bauer L., Reiss E. L., 10.1137/0113039, J. Soc. Ind. Appl. Math., 13 (1965), 3, 603-625. (1965) DOI10.1137/0113039
  2. Sadovský Z., Rectangular thin plate in shear - theoretical solution, (in Slovak). Staveb. Čas., 25 (1977), 3, 197-228. (1977) 
  3. Hlaváček I., Einfluss der Form der Anfangskrümmung auf das Ausbeulen der gedrückten rechteckigen Platte, Acta Technica ČSAV, 7 (1962), 2, 174-206. (1962) 
  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. (1975) 
  5. Berger M. S., 10.1002/cpa.3160200405, Comm. Pure Appl. Math., 20 (1967), 687-719. (1967) Zbl0162.56405MR0221808DOI10.1002/cpa.3160200405
  6. Berger M. S., Fife P. C., 10.1002/cpa.3160210303, Comm. Pure Appl. Math., 21 (1968), 227-241. (1968) Zbl0162.56501MR0229978DOI10.1002/cpa.3160210303
  7. Vainberg M. M., Variational methods for the study of nonlinear operators, (in Russian). Gostechizdat, Moscow 1956. (1956) Zbl0073.10303

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