Dynamic analysis of helicoidal bars with non-circular cross-sections via mixed FEM

Nihal Eratli*, Murat Yilmaz, Kutlu Darilmaz, Mehmet H. Omurtag

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


One of the objectives of this study is to implement the direct calculation of the torsional moment of inertia for non-circular cross-sections, which is based on the St. Venant torsion formulation and the finite element method. Recently the proposed method provides a unique calculation of the torsional rigidity of simply and multiply connected cross-sections. Next, free vibration analyses of cylindrical and non-cylindrical helices with non-circular cross-sections are solved by a curved two-nodded mixed finite element based on the Timoshenko beam theory. Some thin-thick closed or open sections are handled and the natural frequencies of cylindrical and non-cylindrical helices are compared with the literature and the commercial finite element program SAP2000.

Original languageEnglish
Pages (from-to)221-238
Number of pages18
JournalStructural Engineering and Mechanics
Issue number2
Publication statusPublished - 25 Jan 2016

Bibliographical note

Publisher Copyright:
Copyright © 2016 Techno-Press, Ltd.


  • Mixed finite element
  • Non-circular cross-sections
  • Non-cylindrical helix
  • Poisson's equation
  • Torsional moment of inertia


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