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

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"
}