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Structural Engineering and Mechanics Volume 57, Number 2, January25 2016 , pages 221-238 DOI: https://doi.org/10.12989/sem.2016.57.2.221 |
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Dynamic analysis of helicoidal bars with non-circular cross-sections via mixed FEM |
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Nihal Eratli, Murat Yilmaz, Kutlu Darilmaz and Mehmet H. Omurtag
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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. | ||
| Key Words | ||
| mixed finite element; non-cylindrical helix; non-circular cross-sections; Poisson | ||
| Address | ||
| Nihal Eratli, Murat Yilmaz, Kutlu Darilmaz and Mehmet H. Omurtag: Department of Civil Engineering, Istanbul Technical University, Istanbul, Turkey | ||