A theoretical approach to the problem of the most dangerous initial deflection shape in stability type structural problems
Applications of Mathematics, Tome 23 (1978) no. 4, pp. 248-266.

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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.
DOI : 10.21136/AM.1978.103751
Classification : 00A89, 73H99, 73K99, 74B20, 74G60, 74K20
Mots-clés : dangerous initial diflection shape; thin elastic plate; Foeppl-Karman-Marguerre; Sobolev’s space; real separable Hilbert space; potential energy; variational inequalities 
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     title = {A theoretical approach to the problem of the most dangerous initial deflection shape in stability type structural problems},
     journal = {Applications of Mathematics},
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Sadovský, Zoltán. A theoretical approach to the problem of the most dangerous initial deflection shape in stability type structural problems. Applications of Mathematics, Tome 23 (1978) no. 4, pp. 248-266. doi : 10.21136/AM.1978.103751. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103751/

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