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

- Journal title : Structural Engineering and Mechanics
- Volume 57, Issue 2, 2016, pp.221-238
- Publisher : Techno-Press
- DOI : 10.12989/sem.2016.57.2.221

Title & Authors

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

Eratli, Nihal; Yilmaz, Murat; Darilmaz, Kutlu; Omurtag, Mehmet H.;

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.

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