Optimal design of a Kirchhoff-Love plate of variable thickness by application of the minimum principle
Authors:
- Dorota Kropiowska,
- Leszek Mikulski,
- Paweł Szeptyński
Abstract
An approximate thickness optimization of a rectangular Kirchhoff-Love plate with variable stiffness under uniform load is performed in this paper. The authors propose an orig inal method for formulating problems of optimal design for plate structures of variable thickness. Partial discret ization, which is described in this paper, reduces the number of independent variables in the problem formulation to o nly one, making the problem possible to solve via application of the Pontryagin ’ s minimum principle. The optimization probl em relates to the search for the optimal plate thickness distributions, which provides the minimum stru ctural volume of the material used while simultaneously meeting all constraint conditions. The optimal design task is formulated as a control theory problem, maintaining the formal structure of the minimum principle, and then is tr ansformed into a two-point boundary value problem. Such an approximate solution, meeting all necessary optimality conditions, is found by using Dircol software for a chosen illustrative example.
- Record ID
- CUT51dfca047f3b44c8adf3c89a30c6a7e3
- Publication categories
- ;
- Author
- Journal series
- Structural and Multidisciplinary Optimization, ISSN 1615-147X, e-ISSN 1615-1488
- Issue year
- 2019
- Vol
- 59
- No
- 5
- Pages
- 1581-1598
- Other elements of collation
- rys.; tab.; wykr.; Bibliografia (na s.) - 1598; Bibliografia (liczba pozycji) - [25]; Oznaczenie streszczenia - Abstr.; Data udostępnienia on-line - 2018-11-20; Numeracja w czasopiśmie - Vol. 59, Iss. 5
- Keywords in English
- optimal design, shape optimization, thickness optimization, Kirchhoff-Love plate, pontryagin’s minimum principle, variable stiffness
- DOI
- DOI:10.1007/s00158-018-2148-3 Opening in a new tab
- URL
- https://link.springer.com/article/10.1007/s00158-018-2148-3 Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 100
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT51dfca047f3b44c8adf3c89a30c6a7e3/
- URN
urn:pkr-prod:CUT51dfca047f3b44c8adf3c89a30c6a7e3
* 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.