On the influence of mode interaction on the buckling eigenshapes of thin‐walled structures

Authors

  • Radomir Cvijić University of Banja Luka, Faculty of Architecture, Civil Engineering and Geodesy, Bosnia and Herzegovina, radomir.cvijic@aggf.unibl.org
  • Aleksandar Borković University of Banja Luka, Faculty of Architecture, Civil Engineering and Geodesy, Bosnia and Herzegovina, aleksandar.borkovic@aggf.unibl.org https://orcid.org/0000-0002-4091-3379
  • Saša Tatar University of Banja Luka, Faculty of Architecture, Civil Engineering and Geodesy, Bosnia and Herzegovina

DOI:

https://doi.org/10.7251/AGGPLUS1301258C

Keywords:

thin‐walled structures, mode interaction, stability curves, finite strip method

Abstract

Some considerations on influence of mode interaction on eigenshapes of the thin‐walled structures are given. Classic theory is limited on structures with non‐deformable cross section, so that for general analysis it was necessary to apply semi‐analytical finite strip method. Strip displacement field is approximated with sum of products of trigonometric functions and polynomials, where the trigonometric functions are chosen as eigenmodes of Bernoulli‐Euler beam. Both coupled and uncoupled finite strip formulations are used. Following the presented theory, computer program which enables detailed insight into mode interaction problems is developed. Buckling and stability curves of one open ‐ section and one closed ‐ section are analysed in details. Influence of local buckling critical length of simply supported structure on dominant eigenmodes of structures with different boundary conditions and arbitrary length is indicated.

Published

2013-12-30

How to Cite

[1]
R. Cvijić, A. Borković, and S. Tatar, “On the influence of mode interaction on the buckling eigenshapes of thin‐walled structures ”, AGG+, vol. 1, no. 1, pp. 258-267, Dec. 2013.