Název: Stability of a bar influenced by small and large imperfections
Autoři: Náprstek, Jiří ; Fischer, Cyril
Typ dokumentu: Příspěvky z konference
Konference/Akce: Engineering mechanics 2020 /26./, Brno (CZ), 20201124
Rok: 2020
Jazyk: eng
Abstrakt: The geometrical and physical imperfections of systems can drastically reduce their critical loading. These imperfections are usually of stochastic character and, therefore, they act as random parametric perturbations of coefficients of corresponding differential equations. In this paper, the imperfections are introduced as multidimensional statistics on the set of a large number of realizations of the same system. As far as the amount of information is small or the imperfections themselves cannot be considered small, the convex analysis is preferable. The paper compares results obtained by both stochastic and convex analyses for hyperprism and demonstrates when each of them is more convenient to be used. Besides of the hyper-prism, the possibilities and properties of other modifications of convex method are considered, especially those based on the definition of imperfection zone marked as a centric hyper-ellipsoid or as an eccentric hyper-ellipsoid. The analytical background was brought up to the level when only a few configurations of imperfections are sufficient to be evaluated numerically. These configurations are obtained by means of the convex analysis as points of extreme critical loading using the Lagrange method of constrained extremes.
Klíčová slova: convex domain method; hyper-prism and hyper-ellipsoid domains; system stability
Číslo projektu: GA19-21817S (CEP)
Poskytovatel projektu: GA ČR
Zdrojový dokument: Engineering mechanics 2020. 26th International conference. Book of full texts, ISBN 978-80-214-5896-3, ISSN 1805-8248
Poznámka: Související webová stránka: https://doi.org/10.21495/5896-3-374

Instituce: Ústav teoretické a aplikované mechaniky AV ČR (web)
Informace o dostupnosti dokumentu: Dokument je dostupný v příslušném ústavu Akademie věd ČR.
Původní záznam: http://hdl.handle.net/11104/0317396

Trvalý odkaz NUŠL: http://www.nusl.cz/ntk/nusl-432475


Záznam je zařazen do těchto sbírek:
Věda a výzkum > AV ČR > Ústav teoretické a aplikované mechaniky
Konferenční materiály > Příspěvky z konference