Detail publikačního výsledku

Stochastic Optimization of a Reinforced Concrete Element with Regard to Ultimate and Serviceability Limit States

VENCLOVSKÝ, J.; ŠTĚPÁNEK, P.; LANÍKOVÁ, I.

Originální název

Stochastic Optimization of a Reinforced Concrete Element with Regard to Ultimate and Serviceability Limit States

Anglický název

Stochastic Optimization of a Reinforced Concrete Element with Regard to Ultimate and Serviceability Limit States

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

Main goal of the paper is to present an algorithm for stochastic optimization of a steel-reinforced concrete element’s cross section. Firstly, the deterministic problem is introduced and described. The description of uncertainties involved in the process and stochastic reformulation of the problem follows. Afterwards, the algorithm itself is introduced. This algorithm is based on internal cycle of deterministic optimization using reduced gradient method and external cycle of stochastic optimization using regression analysis. From the initialization state, the algorithm assess probabilities that ultimate and serviceability limit states are satisfied. Using regression analysis of these assessed probabilities, the algorithm finds new possible solution. The probabilities are assessed on orthogonal grid via modified bisection method. The paper concludes with presentation of the performed calculations and their results. © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Anglický abstrakt

Main goal of the paper is to present an algorithm for stochastic optimization of a steel-reinforced concrete element’s cross section. Firstly, the deterministic problem is introduced and described. The description of uncertainties involved in the process and stochastic reformulation of the problem follows. Afterwards, the algorithm itself is introduced. This algorithm is based on internal cycle of deterministic optimization using reduced gradient method and external cycle of stochastic optimization using regression analysis. From the initialization state, the algorithm assess probabilities that ultimate and serviceability limit states are satisfied. Using regression analysis of these assessed probabilities, the algorithm finds new possible solution. The probabilities are assessed on orthogonal grid via modified bisection method. The paper concludes with presentation of the performed calculations and their results. © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Klíčová slova

Design of structural elements; Deterministic optimization; Stochastic optimization

Klíčová slova v angličtině

Design of structural elements; Deterministic optimization; Stochastic optimization

Autoři

VENCLOVSKÝ, J.; ŠTĚPÁNEK, P.; LANÍKOVÁ, I.

Vydáno

06.02.2021

Nakladatel

Springer, Cham

ISBN

978-3-030-61659-5

Kniha

Studies in Fuzziness and Soft Computing

Edice

Recent Advances in Soft Computing and Cybernetics

ISSN

1434-9922

Periodikum

Studies in Fuzziness and Soft Computing

Číslo

403

Stát

neuvedeno

Strany od

157

Strany do

169

Strany počet

12

URL

https://link.springer.com/chapter/10.1007%2F978-3-030-61659-5_14

BibTex

@inproceedings{BUT175036,
  author="Jakub {Venclovský} and Petr {Štěpánek} and Ivana {Laníková}",
  title="Stochastic Optimization of a Reinforced Concrete Element with Regard to Ultimate and Serviceability Limit States",
  booktitle="Studies in Fuzziness and Soft Computing",
  year="2021",
  series="Recent Advances in Soft Computing and Cybernetics",
  journal="Studies in Fuzziness and Soft Computing",
  number="403",
  pages="157--169",
  publisher="Springer, Cham",
  doi="10.1007/978-3-030-61659-5\{_}14",
  isbn="978-3-030-61659-5",
  issn="1434-9922",
  url="https://link.springer.com/chapter/10.1007%2F978-3-030-61659-5_14"
}