FREE VIBRATION ANALYSIS OF HELICOIDAL BARS WITH THIN-WALLED CIRCULAR TUBE CROSS-SECTION VIA MIXED FINITE ELEMENT METHOD

Nihal Eratlı; Merve Ermiş; Mehmet H. Omurtag

FREE VIBRATION ANALYSIS OF HELICOIDAL BARS WITH THIN-WALLED CIRCULAR TUBE CROSS-SECTION VIA MIXED FINITE ELEMENT METHOD

Abstract

In this study, the free vibration analysis of cylindrical and non-cylindrical helicoidal bars with thin-walled circular tube cross-section is investigated by using the mixed finite element formulation based on Timoshenko beam theory. Frenet triad is adopted as the local coordinate system in the helix geometry. The curved elements involve two nodes, where each node has 12 DOF, namely three translations, three rotations, two shear forces, one axial force, two bending moment and one torque. Numerical solutions are performed to analyze the dynamic behavior of the helix geometries and benchmark results are presented. Parametric studies are carried out to investigate the influence of the section geometry, the helicoidal geometry, the boundary conditions and the density of the material.

Keywords

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Nihal Eratlı This is me
Türkiye

Merve Ermiş This is me
Türkiye

Mehmet H. Omurtag This is me
Türkiye

Publication Date

June 1, 2015

Submission Date

January 22, 2015

Acceptance Date

May 18, 2015

Published in Issue

Year 2015 Volume: 33 Number: 2

IZ

https://izlik.org/JA88CS48YU

Cite

RIS / Bibtex

APA

Eratlı, N., Ermiş, M., & Omurtag, M. H. (2015). FREE VIBRATION ANALYSIS OF HELICOIDAL BARS WITH THIN-WALLED CIRCULAR TUBE CROSS-SECTION VIA MIXED FINITE ELEMENT METHOD. Sigma Journal of Engineering and Natural Sciences, 33(2), 200-218. https://izlik.org/JA88CS48YU

AMA

1.Eratlı N, Ermiş M, Omurtag MH. FREE VIBRATION ANALYSIS OF HELICOIDAL BARS WITH THIN-WALLED CIRCULAR TUBE CROSS-SECTION VIA MIXED FINITE ELEMENT METHOD. SIGMA. 2015;33(2):200-218. https://izlik.org/JA88CS48YU

Chicago

Eratlı, Nihal, Merve Ermiş, and Mehmet H. Omurtag. 2015. “FREE VIBRATION ANALYSIS OF HELICOIDAL BARS WITH THIN-WALLED CIRCULAR TUBE CROSS-SECTION VIA MIXED FINITE ELEMENT METHOD”. Sigma Journal of Engineering and Natural Sciences 33 (2): 200-218. https://izlik.org/JA88CS48YU.

EndNote

Eratlı N, Ermiş M, Omurtag MH (June 1, 2015) FREE VIBRATION ANALYSIS OF HELICOIDAL BARS WITH THIN-WALLED CIRCULAR TUBE CROSS-SECTION VIA MIXED FINITE ELEMENT METHOD. Sigma Journal of Engineering and Natural Sciences 33 2 200–218.

IEEE

[1]N. Eratlı, M. Ermiş, and M. H. Omurtag, “FREE VIBRATION ANALYSIS OF HELICOIDAL BARS WITH THIN-WALLED CIRCULAR TUBE CROSS-SECTION VIA MIXED FINITE ELEMENT METHOD”, SIGMA, vol. 33, no. 2, pp. 200–218, June 2015, [Online]. Available: https://izlik.org/JA88CS48YU

ISNAD

Eratlı, Nihal - Ermiş, Merve - Omurtag, Mehmet H. “FREE VIBRATION ANALYSIS OF HELICOIDAL BARS WITH THIN-WALLED CIRCULAR TUBE CROSS-SECTION VIA MIXED FINITE ELEMENT METHOD”. Sigma Journal of Engineering and Natural Sciences 33/2 (June 1, 2015): 200-218. https://izlik.org/JA88CS48YU.

JAMA

1.Eratlı N, Ermiş M, Omurtag MH. FREE VIBRATION ANALYSIS OF HELICOIDAL BARS WITH THIN-WALLED CIRCULAR TUBE CROSS-SECTION VIA MIXED FINITE ELEMENT METHOD. SIGMA. 2015;33:200–218.

MLA

Eratlı, Nihal, et al. “FREE VIBRATION ANALYSIS OF HELICOIDAL BARS WITH THIN-WALLED CIRCULAR TUBE CROSS-SECTION VIA MIXED FINITE ELEMENT METHOD”. Sigma Journal of Engineering and Natural Sciences, vol. 33, no. 2, June 2015, pp. 200-18, https://izlik.org/JA88CS48YU.

Vancouver

1.Nihal Eratlı, Merve Ermiş, Mehmet H. Omurtag. FREE VIBRATION ANALYSIS OF HELICOIDAL BARS WITH THIN-WALLED CIRCULAR TUBE CROSS-SECTION VIA MIXED FINITE ELEMENT METHOD. SIGMA [Internet]. 2015 Jun. 1;33(2):200-18. Available from: https://izlik.org/JA88CS48YU