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A Finite Element Formulation for the Analysis of Horizontally-Curved Thin-Walled Beams

[+] Author Affiliations
Ashkan Afnani, Vida Niki, R. Emre Erkmen

University of Technology, Sydney, Ultimo, Australia

Paper No. IMECE2015-53332, pp. V009T12A040; 9 pages
doi:10.1115/IMECE2015-53332
From:
  • ASME 2015 International Mechanical Engineering Congress and Exposition
  • Volume 9: Mechanics of Solids, Structures and Fluids
  • Houston, Texas, USA, November 13–19, 2015
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5752-6
  • Copyright © 2015 by ASME

abstract

In this study, a finite element formulation is developed for the elastic analysis of thin-walled curved beams. Using a second-order rotation tensor, the strains of the deformed configuration are calculated in terms of the displacement values and the initial curvature. The principle of virtual work is then used to obtain the nonlinear equilibrium equations, based on which a finite element beam formulation is developed. The accuracy of the method is confirmed through comparisons with test results and shell-type finite element formulations and other curved beam formulations from the literature. It is also shown that the results of the developed formulation are very accurate for cases where initial curvature is very large.

Copyright © 2015 by ASME

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