Shape optimisation of cold-formed steel columns with manufacturing constraints using the Hough transform
| Autor: | Adrien M. Molinier, Lip H. Teh, Bin Wang, Hong Guan, Benoit P. Gilbert |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Engineering
business.industry Augmented Lagrangian method Mechanical Engineering Evolutionary algorithm 020101 civil engineering 02 engineering and technology Building and Construction Structural engineering Column (database) Cold-formed steel 0201 civil engineering law.invention Hough transform 020303 mechanical engineering & transports 0203 mechanical engineering Buckling law Simple (abstract algebra) Genetic algorithm business Algorithm Civil and Structural Engineering |
| Zdroj: | Thin-Walled Structures. 106:75-92 |
| ISSN: | 0263-8231 |
| DOI: | 10.1016/j.tws.2016.04.015 |
| Popis: | This paper introduces manufacturing constraints into a recently developed evolutionary algorithm for shape optimisation of CFS profiles. The algorithm is referred to as “self-shape optimisation” and uses Genetic Algorithm (GA) together with the Augmented Lagrangian (AL) method to avoid ill-conditioned problems. Simple manufacturing rules derived from the limitations of current cold-forming processes, i.e. a limited ability to form continuously curved surfaces without discrete bends, are described in the paper and incorporated into the algorithm. The Hough transform is used to detect straight lines and transform arbitrarily drawn cross-sections into manufacturable ones. Firstly, the algorithm is verified against a known optimisation problem and found to accurately converge to a manufacturable optimum solution. Secondly, the algorithm is applied to singly-symmetric CFS columns each of which is subject to an axial compressive load of 75kN and has a uniform wall thickness of 1.2 mm. The strength of the columns is evaluated by the Direct Strength Method (DSM) and all buckling modes are considered. Various column lengths (from 500 mm to 3000 mm) and numbers of roll-forming bends were investigated. The optimised cross-sections are presented and discussed. |
| Databáze: | OpenAIRE |
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