Structure of optimal control in optimal shaping of the steel arch
Authors:
- Leszek Mikulski,
- Dorota Jasińska,
- Olga Dąbrowska
Abstract
The paper presents the problem of optimal shaping of the H-bar cross-section of a steel arch that ensures minimal mass. Nineteen combinations of nine basic load states are considered simultaneously in the problem formulation. The optimal shaping task is formulated as a control theory problem within the formal structure of the maximum Pontriagin’s principle. Since the ranges of constraint activity defining the control structure are a priori unknown and must be determined numerically, assuming the proper control structure plays a key role in the task solution. The main achievement of the present work is the determination of a solution of the multi-decision and multi-constraint optimization problem of the arch constituting a primary structural system of the existing building assuring the reduction of the structure mass up to 42%. In addition, the impact of the assumed state constraint value on the solution structure is examined.
- Record ID
- CUT3722b75893354235b7fb9e7a84dd9840
- Publication categories
- ;
- Author
- Journal series
- Civil and Environmental Engineering Reports, ISSN 2080-5187, e-ISSN 2450-8594
- Issue year
- 2022
- Vol
- 3
- No
- 32
- Pages
- 143-165
- Other elements of collation
- rys.; tab.; wykr.; Bibliografia (na s.) - 163-165; Bibliografia (liczba pozycji) - 31; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 3, No. 32
- Keywords in English
- shape optimization, optimal control, arch, multipoint boundary value problem
- DOI
- DOI:10.2478/ceer-2022-0033 Opening in a new tab
- URL
- https://ceer.com.pl/resources/html/article/details?id=231747 Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 70
- Score source
- journalList
- Score
- Additional fields
- Indeksowana w: Web of Science
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT3722b75893354235b7fb9e7a84dd9840/
- URN
urn:pkr-prod:CUT3722b75893354235b7fb9e7a84dd9840
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.