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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 106
Edited by: B.H.V. Topping and P. Iványi
Paper 159

Torsional Free Vibration of Functionally Graded Material Beams with Non-Circular Cross-Sections

J. Murin1, M. Aminbaghai2, J. Hrabovsky1, V. Kutis1 and J. Paulech1

1Department of Applied Mechanics and Mechatronics, Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Slovakia
2Institute for Mechanics of Materials and Structures, Vienna University of Technology, Austria

Full Bibliographic Reference for this paper
J. Murin, M. Aminbaghai, J. Hrabovsky, V. Kutis, J. Paulech, "Torsional Free Vibration of Functionally Graded Material Beams with Non-Circular Cross-Sections", in B.H.V. Topping, P. Iványi, (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 159, 2014. doi:10.4203/ccp.106.159
Keywords: uniform torsional vibration, noncircular cross-section, functionally graded material, homogenization methods..

This paper presents new finite element equations for uniform torsion of functionally graded material (FGM) beams of noncircular cross-section (rectangular and hollow) with spatial variation of material properties. The real material properties of the FGM beam are homogenised by extended mixture rules and the multilayer method to reach the effective material properties, which varies in the beam's longitudinal direction. The concept of the transfer matrix method was used in the finite element derivation. The numerical calculations were completed and the results obtained are compared with those obtained by means of three-dimensional solid finite elements. The high effectiveness and accuracy of the new finite element is demonstrated and discussed.

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