Free vibration of functionally graded carbon nanotube-reinforced composite beam
104 viewsDOI:
https://doi.org/10.54939/1859-1043.j.mst.FEE.2023.119-126Keywords:
Vibration; FG-CNTRC beam; Shear deformation beam theory.Abstract
The purpose of this paper is to investigate the free vibration behavior of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) beam. The carbon nanotubes (CNTs) are aligned and distributed in polymeric matrix with different patterns of reinforcement. The material properties of the FG-CNTRC beam are estimated by using the rule of mixture. The trigonometric shear deformation beam theory is employed to deal with the problem. The mathematical models provided in this paper are numerically validated by comparison with some available results. New results of free vibration analyses of FG-CNTRC beam are presented and discussed in detail. The effects of the length to thickness ratio and CNT volume fraction are taken into investigation.
References
[1]. E.T. Thostenson, Z.F. Ren, T.W. Chou, “Advances in the science and technology of carbon nanotubes and their composites: a review,” Composites Science and Technology, Vol. 61, Issue 13, pp. 1899-1912, (2001). DOI: https://doi.org/10.1016/S0266-3538(01)00094-X
[2]. K.T. Lau, D. Hui, “The revolutionary creation of new advanced materials—carbon nanotube composites,” Composites Part B: Engineering, Vol. 33, Issue 4, pp. 263–277, (2002). DOI: https://doi.org/10.1016/S1359-8368(02)00012-4
[3]. S.H. Shen, “Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments,” Composite Structures, Vol. 91, pp. 9-19, (2009). DOI: https://doi.org/10.1016/j.compstruct.2009.04.026
[4]. L.L. Ke, J. Yang, S. Kitipornchai, “Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams,” Composite Structures, Vol. 92, Issue 3, pp. 676-683, (2010). DOI: https://doi.org/10.1016/j.compstruct.2009.09.024
[5]. M.H. Yas, M. Heshmati, “Dynamic analysis of functionally graded nanocomposite beams reinforced by randomly oriented carbon nanotube under the action of moving load,” Applied Mathematical Modelling, Vol. 36, Issue 4, pp. 1371-1394, (2012). DOI: https://doi.org/10.1016/j.apm.2011.08.037
[6]. M.H. Yas, N. Samadi, “Free vibrations and buckling analysis of carbon nanotube-reinforced compositeTimoshenko beams on elastic foundation,” International Journal of Pressure Vessels and Piping, Vol. 98, pp. 119-128, (2012). DOI: https://doi.org/10.1016/j.ijpvp.2012.07.012
[7]. N. Wattanasakulpong, V. Ungbhakorn, “Analytical solutions for bending, buckling and vibration responses of carbon nanotube-reinforced composite beams resting on elastic foundation,” Computational Materials Science, Vol. 71, pp. 201–208, (2013). DOI: https://doi.org/10.1016/j.commatsci.2013.01.028
[8]. M. Rafiee, J. Yang, S. Kitipornchai, “Thermal bifurcation buckling of piezoelectric carbon nanotube reinforced composite beams,” Computers & Mathematics with Applications, Vol. 66, pp. 1147-1160, (2013). DOI: https://doi.org/10.1016/j.camwa.2013.04.031
[9]. H.S. Shen, Y. Xiang, “Nonlinear analysis of nanotube-reinforced composite beams resting on elastic foundations in thermal environments,” Engineering Structures, Vol. 56, pp. 698-708, (2013). DOI: https://doi.org/10.1016/j.engstruct.2013.06.002
[10]. K.M. Liew, Z.X. Lei, L.W. Zhang, “Mechanical analysis of functionally graded carbon nanotube reinforced composites: A review”, Composite Structures, Vol. 120, pp. 90-97, (2015). DOI: https://doi.org/10.1016/j.compstruct.2014.09.041
[11]. M. Simsek, J.N. Reddy, “Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory,” International Journal of Engineering Science, Vol. 64, pp. 37–53, (2013). DOI: https://doi.org/10.1016/j.ijengsci.2012.12.002
