A MATLAB finite element toolbox for the efficient nonlinear analysis of axisymmetric shells.
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| Title: | A MATLAB finite element toolbox for the efficient nonlinear analysis of axisymmetric shells. |
|---|---|
| Authors: | Filippidis, Achilleas1 (AUTHOR) a.filippidis@imperial.ac.uk, Sadowski, Adam J.1 (AUTHOR) |
| Source: | CE/Papers. Sep2023, Vol. 6 Issue 3/4, p1735-1740. 6p. |
| Subjects: | Nonlinear analysis, Integrated software, Egg quality, Iron & steel columns, Bifurcation diagrams |
| Abstract: | Shells of revolution under axisymmetric conditions exhibit a circumferentially uniform pre‐buckling stress state and are important fundamental systems which often serve as reference systems for those under more complex conditions. Given this status, work is continuing on a careful and complete characterization of their buckling response with the aid of the Reference Resistance Design (RRD) framework for the ultimate benefit of the EN 1993‐1‐6 Eurocode on the strength of stability of metal shells. The situation is greatly complicated by the fact that while modern finite element software packages offer axisymmetric shell elements in an efficient 2D modelling plane, these are not capable of detecting bifurcation buckling into non‐axisymmetric modes which are often critical for slender systems. Reverting to a full 3D plane is possible, but grossly inefficient and the explicitly modelled circumferential direction is parasitic and detrimental to the overall solution quality. AQUINAS is an accessible and intuitive toolbox developed by the Authors in MATLAB for the efficient analysis of axisymmetric shell structures, aiming to reintroduce a modelling capability that was once standard in the field. Data input is entirely object‐oriented and matrix assembly is parallelized with pre‐compiled C++ routines, with users being able to take direct advantage of MATLAB's visualization properties. The software natively supports the LA, LBA, MNA, GMNIA etc. Eurocode analysis taxonomy. This paper demonstrates the current capabilities of the toolbox, describes the extensive programme of verification against existing established solutions that has been performed, and illustrates its ability to efficiently compute very detailed capacity curves using the EN 1993‐1‐6 capacity curve framework. [ABSTRACT FROM AUTHOR] |
| Copyright of CE/Papers is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 172301453 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A MATLAB finite element toolbox for the efficient nonlinear analysis of axisymmetric shells. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Filippidis%2C+Achilleas%22">Filippidis, Achilleas</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> a.filippidis@imperial.ac.uk</i><br /><searchLink fieldCode="AR" term="%22Sadowski%2C+Adam+J%2E%22">Sadowski, Adam J.</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22CE%2FPapers%22">CE/Papers</searchLink>. Sep2023, Vol. 6 Issue 3/4, p1735-1740. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Nonlinear+analysis%22">Nonlinear analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Integrated+software%22">Integrated software</searchLink><br /><searchLink fieldCode="DE" term="%22Egg+quality%22">Egg quality</searchLink><br /><searchLink fieldCode="DE" term="%22Iron+%26+steel+columns%22">Iron & steel columns</searchLink><br /><searchLink fieldCode="DE" term="%22Bifurcation+diagrams%22">Bifurcation diagrams</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Shells of revolution under axisymmetric conditions exhibit a circumferentially uniform pre‐buckling stress state and are important fundamental systems which often serve as reference systems for those under more complex conditions. Given this status, work is continuing on a careful and complete characterization of their buckling response with the aid of the Reference Resistance Design (RRD) framework for the ultimate benefit of the EN 1993‐1‐6 Eurocode on the strength of stability of metal shells. The situation is greatly complicated by the fact that while modern finite element software packages offer axisymmetric shell elements in an efficient 2D modelling plane, these are not capable of detecting bifurcation buckling into non‐axisymmetric modes which are often critical for slender systems. Reverting to a full 3D plane is possible, but grossly inefficient and the explicitly modelled circumferential direction is parasitic and detrimental to the overall solution quality. AQUINAS is an accessible and intuitive toolbox developed by the Authors in MATLAB for the efficient analysis of axisymmetric shell structures, aiming to reintroduce a modelling capability that was once standard in the field. Data input is entirely object‐oriented and matrix assembly is parallelized with pre‐compiled C++ routines, with users being able to take direct advantage of MATLAB's visualization properties. The software natively supports the LA, LBA, MNA, GMNIA etc. Eurocode analysis taxonomy. This paper demonstrates the current capabilities of the toolbox, describes the extensive programme of verification against existing established solutions that has been performed, and illustrates its ability to efficiently compute very detailed capacity curves using the EN 1993‐1‐6 capacity curve framework. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of CE/Papers is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1002/cepa.2355 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 1735 Subjects: – SubjectFull: Nonlinear analysis Type: general – SubjectFull: Integrated software Type: general – SubjectFull: Egg quality Type: general – SubjectFull: Iron & steel columns Type: general – SubjectFull: Bifurcation diagrams Type: general Titles: – TitleFull: A MATLAB finite element toolbox for the efficient nonlinear analysis of axisymmetric shells. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Filippidis, Achilleas – PersonEntity: Name: NameFull: Sadowski, Adam J. IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 09 Text: Sep2023 Type: published Y: 2023 Identifiers: – Type: issn-print Value: 25097075 Numbering: – Type: volume Value: 6 – Type: issue Value: 3/4 Titles: – TitleFull: CE/Papers Type: main |
| ResultId | 1 |
