Publication result 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

English Title

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

Type

WoS Article

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).

English 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

Key words in English

optimal design, stochastic programming, chance constrained optimization, probabilistic robust design, geometric programming

Authors

KŮDELA, J.; POPELA, P.

RIV year

2019

Released

28.12.2018

Publisher

UTIA

Location

Prague

ISBN

0023-5954

Periodical

KYBERNETIKA

Volume

54

Number

6

State

Czech Republic

Pages from

1201

Pages to

1217

Pages count

17

URL

http://www.kybernetika.cz/content/2018/6/1201

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"
}