Since 1963
ARTICLE
Analytical modelling and shape optimization of composite girder with adhesive bondline
1
Cracow University of Technology, Faculty of Civil Engineering Division of Structural Mechanics and Material Mechanics,
Cracow, Poland
These authors had equal contribution to this work
Submission date: 2023-10-26
Final revision date: 2023-11-24
Acceptance date: 2023-11-30
Online publication date: 2024-01-26
Publication date: 2024-01-31
Corresponding author
Paweł Szeptyński
Faculty of Civil Engineering, Cracow University of Technology, Warszawska, 31-155, Krakow, Poland
Faculty of Civil Engineering, Cracow University of Technology, Warszawska, 31-155, Krakow, Poland
Journal of Theoretical and Applied Mechanics 2024;62(1):129-142
KEYWORDS
TOPICS
ABSTRACT
The paper presents a beam theory for composite girders consisting of two beams joined
together with an adhesive layer. The height of the bottom beam is considered variable. The
governing equations are suitable for formulation of a shape optimization problem in terms of
control theory. The use of Pontryagin’s maximum principle enables finding an optimal solution
satisfying necessary optimality conditions. The presented optimization approach allows
for including issues which cannot be accounted for by commercial topology optimization
software. The introduced theory provides an estimated solution, which is then validated by
an analysis of a 3D finite element model.
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| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
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