Optimization Of Curved Plated Structures With The Finite Strip And Finite Element Methods
The aim of this study is to compare two available numerical tools for solving of partial differential equations for the optimal design of structures. In the past years numerous methods were developed for topology optimization, from these we have adopted the optimality criteria (OC) approach. The mai...
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doaj-487dffe83823468a80a21ea3cbe3a9092020-11-24T21:33:01ZengSciendoTransactions of the VŠB: Technical University of Ostrava, Civil Engineering Series1804-48242015-12-0115210.1515/tvsb-2015-0004tvsb-2015-0004Optimization Of Curved Plated Structures With The Finite Strip And Finite Element MethodsBalogh Bence0Lógó János1 Bence Balogh, PhD student, Budapest University of Technology and Economics, Műegyetem rkp. 3, Budapest, Hungary János Lógó, Associate professor, Budapest University of Technology and Economics, Műegyetem rkp. 3, Budapest, HungaryThe aim of this study is to compare two available numerical tools for solving of partial differential equations for the optimal design of structures. In the past years numerous methods were developed for topology optimization, from these we have adopted the optimality criteria (OC) approach. The main idea is that we state the optimal conditions, that the minimizer has to fulfil at the end of an iterative proves. This method however is not a general one, only advantageous in the case of separable problems, but comes with fast speed, easy programming, and a relative insensitivity of computational time to the number of variables. In the paper we suggest a new method for the elimination of a numerical error, the so called ‘checkerboard pattern’. In the presented examples we applied one loading case and an elastic material behaviour. The cost function is the net weight of the structure and upper bound of the compliance is set as the optimality constraint.http://www.degruyter.com/view/j/tvsb.2015.15.issue-2/tvsb-2015-0004/tvsb-2015-0004.xml?format=INTTopologyoptimizationoptimality criteriafinite element methodfinite strip methodFEMFSM |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Balogh Bence Lógó János |
spellingShingle |
Balogh Bence Lógó János Optimization Of Curved Plated Structures With The Finite Strip And Finite Element Methods Transactions of the VŠB: Technical University of Ostrava, Civil Engineering Series Topology optimization optimality criteria finite element method finite strip method FEM FSM |
author_facet |
Balogh Bence Lógó János |
author_sort |
Balogh Bence |
title |
Optimization Of Curved Plated Structures With The Finite Strip And Finite Element Methods |
title_short |
Optimization Of Curved Plated Structures With The Finite Strip And Finite Element Methods |
title_full |
Optimization Of Curved Plated Structures With The Finite Strip And Finite Element Methods |
title_fullStr |
Optimization Of Curved Plated Structures With The Finite Strip And Finite Element Methods |
title_full_unstemmed |
Optimization Of Curved Plated Structures With The Finite Strip And Finite Element Methods |
title_sort |
optimization of curved plated structures with the finite strip and finite element methods |
publisher |
Sciendo |
series |
Transactions of the VŠB: Technical University of Ostrava, Civil Engineering Series |
issn |
1804-4824 |
publishDate |
2015-12-01 |
description |
The aim of this study is to compare two available numerical tools for solving of partial differential equations for the optimal design of structures. In the past years numerous methods were developed for topology optimization, from these we have adopted the optimality criteria (OC) approach. The main idea is that we state the optimal conditions, that the minimizer has to fulfil at the end of an iterative proves. This method however is not a general one, only advantageous in the case of separable problems, but comes with fast speed, easy programming, and a relative insensitivity of computational time to the number of variables. In the paper we suggest a new method for the elimination of a numerical error, the so called ‘checkerboard pattern’. In the presented examples we applied one loading case and an elastic material behaviour. The cost function is the net weight of the structure and upper bound of the compliance is set as the optimality constraint. |
topic |
Topology optimization optimality criteria finite element method finite strip method FEM FSM |
url |
http://www.degruyter.com/view/j/tvsb.2015.15.issue-2/tvsb-2015-0004/tvsb-2015-0004.xml?format=INT |
work_keys_str_mv |
AT baloghbence optimizationofcurvedplatedstructureswiththefinitestripandfiniteelementmethods AT logojanos optimizationofcurvedplatedstructureswiththefinitestripandfiniteelementmethods |
_version_ |
1725955170601271296 |