Optimal design of a Kirchhoff-Love plate of variable thickness by application of the minimum principle
| Autor: | Dorota Kropiowska, Paweł Szeptyński, Leszek Mikulski |
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| Rok vydání: | 2018 |
| Předmět: |
Optimal design
Control and Optimization Variables Optimization problem Discretization business.industry media_common.quotation_subject 0211 other engineering and technologies 02 engineering and technology Computer Graphics and Computer-Aided Design Computer Science Applications Constraint (information theory) 020303 mechanical engineering & transports Software 0203 mechanical engineering Control and Systems Engineering Control theory Applied mathematics Boundary value problem business 021106 design practice & management media_common Mathematics |
| Zdroj: | Structural and Multidisciplinary Optimization. 59:1581-1598 |
| ISSN: | 1615-1488 1615-147X |
| DOI: | 10.1007/s00158-018-2148-3 |
| Popis: | 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 original method for formulating problems of optimal design for plate structures of variable thickness. Partial discretization, which is described in this paper, reduces the number of independent variables in the problem formulation to only one, making the problem possible to solve via application of the Pontryagin’s minimum principle. The optimization problem relates to the search for the optimal plate thickness distributions, which provides the minimum structural 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 transformed 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. |
| Databáze: | OpenAIRE |
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