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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.;
 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;
 Language
English
 Cited by
1.
Exact determination of the global tip deflection of both close-coiled and open-coiled cylindrical helical compression springs having arbitrary doubly-symmetric cross-sections, International Journal of Mechanical Sciences, 2016, 115-116, 280  crossref(new windwow)
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Static and dynamic analysis of conical helices based on exact geometry via mixed FEM, International Journal of Mechanical Sciences, 2017, 131-132, 296  crossref(new windwow)
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