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http://dx.doi.org/10.12989/sem.2016.57.2.221

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)
Publication Information
Structural Engineering and Mechanics / v.57, no.2, 2016 , pp. 221-238 More about this Journal
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
mixed finite element; non-cylindrical helix; non-circular cross-sections; Poisson's equation; torsional moment of inertia;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
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