Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams

Ke, Liao-Liang, Yang, Jie and Kitipornchai, Sritawat (2010) Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams. Composite Structures, 92 3: 676-683. doi:10.1016/j.compstruct.2009.09.024


Author Ke, Liao-Liang
Yang, Jie
Kitipornchai, Sritawat
Title Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams
Journal name Composite Structures   Check publisher's open access policy
ISSN 0263-8223
1879-1085
Publication date 2010-01-01
Year available 2010
Sub-type Article (original research)
DOI 10.1016/j.compstruct.2009.09.024
Open Access Status Not yet assessed
Volume 92
Issue 3
Start page 676
End page 683
Total pages 8
Place of publication London, United Kingdom
Publisher Elsevier Ltd
Language eng
Subject 2205 Civil and Structural Engineering
2503 Ceramics and Composites
Abstract This paper investigates the nonlinear free vibration of functionally graded nanocomposite beams reinforced by single-walled carbon nanotubes (SWCNTs) based on Timoshenko beam theory and von Kármán geometric nonlinearity. The material properties of functionally graded carbon nanotube-reinforced composites (FG-CNTRCs) are assumed to be graded in the thickness direction and estimated though the rule of mixture. The Ritz method is employed to derive the governing eigenvalue equation which is then solved by a direct iterative method to obtain the nonlinear vibration frequencies of FG-CNTRC beams with different end supports. A detailed parametric study is conducted to study the influences of nanotube volume fraction, vibration amplitude, slenderness ratio and end supports on the nonlinear free vibration characteristics of FG-CNTRC beams. The results for uniformly distributed carbon nanotube-reinforced composite (UD-CNTRC) beams are also provided for comparison. Numerical results are presented in both tabular and graphical forms to investigate the effects of nanotube volume fraction, vibration amplitude, slenderness ratio, end supports and CNT distribution on the nonlinear free vibration characteristics of FG-CNTRC beams.
Keyword Functionally graded materials
Nanocomposites
Nonlinear free vibration
Ritz method
Timoshenko beam theory
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
 
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Created: Wed, 29 Oct 2014, 21:51:51 EST by Jeannette Watson on behalf of School of Civil Engineering