Deformation modes of thin-walled members: A comparison between the method of Generalized Eigenvectors and Generalized Beam Theory

Giovanni Garcea, Rodrigo Gonçalves, Antonio Bilotta, David Manta, Rui Bebiano, Leonardo Leonetti, Domenico Magisano, Dinar Camotim

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)

Abstract

This paper compares two distinct approaches for obtaining the cross-section deformation modes of thin-walled members with deformable cross-section, namely the method of Generalized Eigenvectors (GE) and the Generalized Beam Theory (GBT). First, both approaches are reviewed, emphasizing their differences and similarities, as well as their resulting semi-analytical solutions. Then, the GE/GBT deformation modes for four selected cross-sections are calculated and examined in detail. Subsequently, attention is turned to the efficiency and accuracy of the GE/GBT mode sets in typical benchmark problems, namely the calculation of the global-local-distortional first-order and buckling (bifurcation) behaviors of bars with the previously analyzed cross-sections. It is concluded that GE and GBT, both based on the method of separation of variables, yield accurate results although they use different structural models and mode selection strategies. Therefore they offer complementary advantages, which are put forward in the paper.

Original languageEnglish
Pages (from-to)192-212
Number of pages21
JournalThin-Walled Structures
Volume100
DOIs
Publication statusPublished - 1 Mar 2016

Keywords

  • Cross-section deformation modes
  • Generalized Beam Theory (GBT)
  • Generalized Eigenvectors (GE)
  • Thin-walled members

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