Publication detail
Chance constrained optimal beam design: convex reformulation and probabilistic robust design
KŮDELA, J. POPELA, P.
Original Title
Chance constrained optimal beam design: convex reformulation and probabilistic robust design
Type
journal article in Web of Science
Language
English
Original Abstract
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).
Keywords
optimal design, stochastic programming, chance constrained optimization, probabilistic robust design, geometric programming
Authors
KŮDELA, J.; POPELA, P.
Released
28. 12. 2018
Publisher
UTIA
Location
Prague
ISBN
0023-5954
Periodical
Kybernetika
Year of study
54
Number
6
State
Czech Republic
Pages from
1201
Pages to
1217
Pages count
17
URL
BibTex
@article{BUT149130,
author="Jakub {Kůdela} and Pavel {Popela}",
title="Chance constrained optimal beam design: convex reformulation and probabilistic robust design",
journal="Kybernetika",
year="2018",
volume="54",
number="6",
pages="1201--1217",
doi="10.14736/kyb-2018-6-1201",
issn="0023-5954",
url="http://www.kybernetika.cz/content/2018/6/1201"
}