Publication detail

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

KŮDELA, J. POPELA, P.

English title

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

Type

journal article in Web of Science

Language

en

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 in English

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

Released

28.12.2018

Publisher

UTIA

Location

Prague

ISSN

0023-5954

Volume

54

Number

6

Pages from–to

1201–1217

Pages count

17

BIBTEX


@article{BUT149130,
  author="Jakub {Kůdela} and Pavel {Popela},
  title="Chance constrained optimal beam design: convex reformulation and probabilistic robust design",
  year="2018",
  volume="54",
  number="6",
  month="December",
  pages="1201--1217",
  publisher="UTIA",
  address="Prague",
  issn="0023-5954"
}