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Dynamic analysis of helicoidal bars with non-circular cross-sections via mixed FEM
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 Title & Authors
Dynamic analysis of helicoidal bars with non-circular cross-sections via mixed FEM
Eratli, Nihal; Yilmaz, Murat; Darilmaz, Kutlu; Omurtag, Mehmet H.;
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.
mixed finite element;non-cylindrical helix;non-circular cross-sections;Poisson`s equation;torsional moment of inertia;
 Cited by
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