Free Vibration Analysis of a Carbon Nanotube Reinforced Composite Beam

Article Preview

Abstract:

In this study, free vibration responses of a carbon nanotube reinforced composite beam are investigated. The governing differential equations of motion of a carbon nanotube (CNT) reinforced composite beam are presented in finite element formulation. The validity of the developed formulation is demonstrated by comparing the natural frequencies evaluated using present FEM with those of available literature. Various parametric studies are also performed to investigate the effect of aspect ratio and percentage of CNT content and boundary conditions on natural frequencies and mode shapes of a carbon nanotube reinforced composite beam. It is shown that the addition of carbon nanotube in fiber reinforced composite beam increases the stiffness of the structure and consequently increases the natural frequencies and alter the mode shapes.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

2041-2045

Citation:

Online since:

July 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Iijima S. Helical microtubules of graphitic carbon. Nature, 8, 354-356. (1999).

Google Scholar

[2] Dong-Li Shi, Xi-Qiao Feng, YY. Huang, Keh-Chih Hwang, Huajian Gao: The effect of nanotube waviness and agglomeration on the elastic property of carbon nanotube reinforced composites, Jr. Engg. Mtrl. Tech. 126 (2004) 250–257.

DOI: 10.1115/1.1751182

Google Scholar

[3] Ranjan Ganguli, S.B.P. Deepak and S. Gopalakrishnan: Dynamics of rotating composite beams: A comparative study between CNT reinforced polymer composite beams and laminated composite beams using spectral finite elements. Int. Jr. Mech. Sc 64 (2012).

DOI: 10.1016/j.ijmecsci.2012.07.009

Google Scholar

[4] Tsu-Wei Chou, E T Thostenson: Aligned MWCNT Reinforced Composites: Processing and Mechanical Characterization, Applied Physics, Vol. 35, No. 16, pp. L77-L80. (2002).

DOI: 10.1088/0022-3727/35/16/103

Google Scholar

[5] D.N. Savvas, V. Papadopoulos and M. Papadrakakis: The effect of interfacial shear strength on damping behaviour of CNT reinforced composites. Int. Jr. Sld. Strcts 49, 3823–3837. (2012).

DOI: 10.1016/j.ijsolstr.2012.08.031

Google Scholar

[6] R.F. Gibson, E.O. Ayorinde and Y.F. Wen: Vibrations of carbon nanotubes and their composites: a review. Com. Sc. Tech. 67 (1) (2007), p.1–28.

Google Scholar

[7] F. D. Borbon, D. Ambrosini and O. Curadelli: Damping response of composites beams with carbon nanotubes. Composites: Part B 60 (2014) 106–110.

DOI: 10.1016/j.compositesb.2013.12.041

Google Scholar

[8] Y. Han, J. Elliott: Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites, Com. Mtrl. Sc. 39 (2007) 315–323.

DOI: 10.1016/j.commatsci.2006.06.011

Google Scholar

[9] Yegao Qu, XinhuaLong, Hongguang Li and Guang Meng: A variational formulation for dynamic analysis of composite laminated beams based on a general higher-order shear deformation theory. Composite Structures 102 (2013) 175–192.

DOI: 10.1016/j.compstruct.2013.02.032

Google Scholar

[10] S.S. Rao: Mechanical Vibration. Fourth edition. Pearson Education, Inc.

Google Scholar