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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

doi:10.4203/ccp.106.159

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J. Murin, M. Aminbaghai, J. Hrabovsky, V. Kutis, J. Paulech, "Torsional Free Vibration of Functionally Graded Material Beams with Non-Circular Cross-Sections", in , (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..

Summary

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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 106 PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: 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 doi:10.4203/ccp.106.159 purchase the full-text of this paper 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 , (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.. Summary 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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