Structural Engineering and Mechanics

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

  • Eratli, Nihal (Department of Civil Engineering, Istanbul Technical University) ;
  • Yilmaz, Murat (Department of Civil Engineering, Istanbul Technical University) ;
  • Darilmaz, Kutlu (Department of Civil Engineering, Istanbul Technical University) ;
  • Omurtag, Mehmet H. (Department of Civil Engineering, Istanbul Technical University)
  • Received : 2015.01.22
  • Accepted : 2015.12.08
  • Published : 2016.01.25
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Abstract

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.

Keywords

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