Publication detail

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

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

Original Title

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

Type

conference paper

Language

English

Original Abstract

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.

Keywords

Design of structural elements; Deterministic optimization; Stochastic optimization

Authors

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

Released

6. 2. 2021

Publisher

Springer, Cham

ISBN

978-3-030-61659-5

Book

Studies in Fuzziness and Soft Computing

Edition

Recent Advances in Soft Computing and Cybernetics

Edition number

403

ISBN

1434-9922

Periodical

Studies in Fuzziness and Soft Computing

Number

403

State

unknown

Pages from

157

Pages to

169

Pages count

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"
}