Three-Dimensional Solution for the Vibration Analysis of Functionally Graded Multiwalled Carbon Nanotubes/Phenolic Nanocomposite Cylindrical Panels on Elastic Foundation

被引:12
作者
Pourasghar, A. [1 ]
Kamarian, S. [2 ]
机构
[1] Islamic Azad Univ, Cent Tehran Branch, Young Researchers & Elite Club, Tehran, Iran
[2] Islamic Azad Univ, Kermanshah Branch, Young Researchers Club, Tehran, Iran
关键词
DIFFERENTIAL QUADRATURE; MECHANICAL-PROPERTIES; ASPECT RATIO; NANOTUBE; COMPOSITES; BEHAVIOR; SHELLS;
D O I
10.1002/pc.22612
中图分类号
TB33 [复合材料];
学科分类号
摘要
In this study, based on the three-dimensional theory of elasticity, free vibration characteristics of nanocomposite cylindrical panels reinforced by multiwalled carbon nanotubes (MWCNT) are considered. The response of the elastic medium is formulated by the Winkler/Pasternak model. Modified Halpin-Tasi equation was used to evaluate the Young's modulus of the MWCNT/epoxy composite samples by the incorporation of an orientation as well as an exponential shape factor in the equation. The exponential shape factor modifies the Halpin-Tsai equation from expressing a straight line to a nonlinear one in the MWNTs wt% range considered. Symmetric and asymmetric volume fraction profiles are provided in this article for comparison. It is shown that using only few grid points, accurate results are obtained which demonstrate the efficiency and convenience of the generalized differential quadrature method for the problem under consideration. The validity of the Young's modulus and frequency response were assessed by a comparison with available literature data, providing a good agreement. POLYM. COMPOS., 34:2040-2048, 2013. (c) 2013 Society of Plastics Engineers
引用
收藏
页码:2040 / 2048
页数:9
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