Efficient GBT displacement-based finite elements for non-linear problems

Rodrigo Gonçalves, Dinar Camotim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper addresses computational efficiency aspects of Generalized Beam Theory (GBT) displacement-based finite elements. It is shown that such efficiency can be significantly improved by using cross-section nodal DOFs (instead of deformation modes), since much smaller matrices need to be handled and the element stiffness matrix becomes significantly sparser. In addition, wall thickness variations, including holes, can also be considered. The deformation mode participations, which constitute the trademark of GBT, are recovered through post-processing. For illustrative purposes, several numerical examples, involving linear and non-linear (static) problems, are presented and discussed.

Original languageEnglish
Title of host publicationProceedings of the Annual Stability Conference Structural Stability Research Council 2017
PublisherStructural Stability Research Council (SSRC)
Publication statusPublished - 1 Jan 2017
EventAnnual Stability Conference Structural Stability Research Council 2017 - San Antonio, United States
Duration: 21 Mar 201724 Mar 2017

Conference

ConferenceAnnual Stability Conference Structural Stability Research Council 2017
CountryUnited States
CitySan Antonio
Period21/03/1724/03/17

Fingerprint

Trademarks
Stiffness matrix
Computational efficiency
Processing

Keywords

  • Computation theory
  • Computational efficiency
  • Deformation
  • Stability
  • Stiffness matrix

Cite this

Gonçalves, R., & Camotim, D. (2017). Efficient GBT displacement-based finite elements for non-linear problems. In Proceedings of the Annual Stability Conference Structural Stability Research Council 2017 Structural Stability Research Council (SSRC).
Gonçalves, Rodrigo ; Camotim, Dinar. / Efficient GBT displacement-based finite elements for non-linear problems. Proceedings of the Annual Stability Conference Structural Stability Research Council 2017. Structural Stability Research Council (SSRC), 2017.
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Gonçalves, R & Camotim, D 2017, Efficient GBT displacement-based finite elements for non-linear problems. in Proceedings of the Annual Stability Conference Structural Stability Research Council 2017. Structural Stability Research Council (SSRC), Annual Stability Conference Structural Stability Research Council 2017, San Antonio, United States, 21/03/17.

Efficient GBT displacement-based finite elements for non-linear problems. / Gonçalves, Rodrigo; Camotim, Dinar.

Proceedings of the Annual Stability Conference Structural Stability Research Council 2017. Structural Stability Research Council (SSRC), 2017.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Gonçalves R, Camotim D. Efficient GBT displacement-based finite elements for non-linear problems. In Proceedings of the Annual Stability Conference Structural Stability Research Council 2017. Structural Stability Research Council (SSRC). 2017