Chance constrained optimal beam design: convex reformulation and probabilistic robust design

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F18%3APU128610" target="_blank" >RIV/00216305:26210/18:PU128610 - isvavai.cz</a>
Result on the web
<a href="http://www.kybernetika.cz/content/2018/6/1201" target="_blank" >http://www.kybernetika.cz/content/2018/6/1201</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14736/kyb-2018-6-1201" target="_blank" >10.14736/kyb-2018-6-1201</a>

Result language
angličtina
Original language name
Chance constrained optimal beam design: convex reformulation and probabilistic robust design
Original language description
In this paper, we are concerned with a civil engineering application of optimization, namely the optimal design of a loaded beam. The developed optimization model includes ODE-type constraints and chance constraints. We use the finite element method (FEM) for the approximation of the ODE constraints. We derive a convex reformulation that transforms the problem into a linear one and find its analytic solution. Afterwards, we impose chance constraints on the stress and the deection of the beam. These chance constraints are handled by a sampling method (Probabilistic Robust Design).
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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