Stability of a bar influenced by small and large imperfections

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F20%3A00539617" target="_blank" >RIV/68378297:_____/20:00539617 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.21495/5896-3-374" target="_blank" >https://doi.org/10.21495/5896-3-374</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21495/5896-3-374" target="_blank" >10.21495/5896-3-374</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Stability of a bar influenced by small and large imperfections

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Stability of a bar influenced by small and large imperfections

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20101 - Civil engineering

Projekt

<a href="/cs/project/GA19-21817S" target="_blank" >GA19-21817S: Neholonomní interakce a dynamická stabilita aeroelastických soustav</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Engineering mechanics 2020. 26th International conference. Book of full texts

ISBN

978-80-214-5896-3

ISSN

1805-8248

e-ISSN

—

Počet stran výsledku

6

Strana od-do

374-379

Název nakladatele

Brno University od Technology

Místo vydání

Brno

Místo konání akce

Brno

Datum konání akce

24. 11. 2020

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

000667956100086