journal article·2017-01

Vibration analysis of CNT-reinforced thick laminated composite plates based on Reddy’s higher-order shear deformation theory

L.W. Zhang, B.A. Selim

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Abstract

Abstract In this paper, free vibration behavior of carbon nanotube (CNT) reinforced functionally graded thick laminated composite plates utilizing Reddy’s higher-order shear deformation theory (HSDT) is studied. To the best of authors’ knowledge, this paper is the first to incorporate HSDT with one of the element-free approaches to investigate this issue. The element-free IMLS-Ritz method is employed and four types of CNT distributions are considered. The resulting effective material properties of the CNT-reinforced composite are estimated by a detailed and straightforward Mori–Tanaka approach. The numerical results have been compared with the literature showing excellent agreement. Considering various CNT orientation angles, a parametric study showing the effects of CNT volume fraction, plate aspect ratio, plate width-to-thickness ratio and number of plate’s layers on the non-dimensional natural frequencies is investigated. Finally, the influence of boundary conditions on the sequence of the first six mode shapes for various lamination arrangements is presented.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Composite Structure Analysis and Optimization · Mechanical Behavior of Composites · Structural Analysis and Optimization

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References (49)

Show source-provided references
1. Helical microtubules of graphitic carbon10.1038/354056a0 ↗
2. Single-shell carbon nanotubes of 1-nm diameter10.1038/363603a0 ↗
3. Elastic properties of single and multilayered nanotubes10.1016/S0022-3697(97)00045-0 ↗
4. The revolutionary creation of new advanced materials-carbon nanotube composites10.1016/S1359-8368(02)00012-4 ↗
5. Mechanical analysis of functionally graded carbon nanotube reinforced composites: a review10.1016/j.compstruct.2014.09.041 ↗
6. Buckling analysis of laminated composite rectangular plates reinforced by SWCNTs using analytical and finite element methods10.1007/s12206-011-0127-3 ↗
7. Non-linear flexural and dynamic response of CNT reinforced laminated composite plates10.1016/j.compositesb.2012.09.004 ↗
8. Buckling analysis of quadrilateral laminated plates with carbon nanotubes reinforced composite layers10.1016/j.tws.2013.05.008 ↗
9. Free vibration of quadrilateral laminated plates with carbon nanotube reinforced composite layers10.1016/j.tws.2014.04.016 ↗
10. Mixed Navier-layerwise differential quadrature three-dimensional static and free vibration analysis of functionally graded carbon nanotube reinforced composite laminated plates10.1007/s11012-014-0061-4 ↗
11. Free vibration analysis of laminated FG-CNT reinforced composite rectangular plates using the kp-Ritz method10.1016/j.compstruct.2015.03.019 ↗
12. Analysis of laminated CNT reinforced functionally graded plates using the element-free kp-Ritz method10.1016/j.compositesb.2015.08.081 ↗
13. Buckling analysis of CNT reinforced functionally graded laminated composite plates10.1016/j.compstruct.2016.05.047 ↗
14. Nonlinear bending and postbuckling analysis of matrix cracked hybrid laminated plates containing carbon nanotube reinforced composite layers in thermal environments10.1016/j.compositesb.2015.09.048 ↗
15. Postbuckling analysis of bi-axially compressed laminated nanocomposite plates using the first-order shear deformation theory10.1016/j.compstruct.2016.05.040 ↗
16. A simple higher-order theory for laminated composite plates10.1115/1.3167719 ↗
18. An Introduction to programming the meshless element free Galerkin method10.1007/BF02897874 ↗
19. The improved element-free Galerkin method for three-dimensional transient heat conduction problems10.1007/s11433-013-5135-0 ↗
20. Analyzing modified equal width (MEW) wave equation using the improved element-free Galerkin method10.1016/j.enganabound.2012.03.013 ↗
21. Analyzing 2D fracture problems with the improved element-free Galerkin method10.1016/j.enganabound.2007.08.012 ↗
22. Improved element-free Galerkin method for two-dimensional potential problems10.1016/j.enganabound.2008.08.004 ↗
23. The improved element-free Galerkin method for three-dimensional wave equation10.1007/s10409-012-0083-x ↗
24. An element-free computational framework for elastodynamic problems based on the IMLS-Ritz method10.1016/j.enganabound.2015.01.007 ↗
25. Computation of vibration solution for functionally graded carbon nanotube-reinforced composite thick plates resting on elastic foundations using the element-free IMLS-Ritz method10.1016/j.amc.2015.01.066 ↗
26. An element-free IMLS-Ritz framework for buckling analysis of FG–CNT reinforced composite thick plates resting on Winkler foundations10.1016/j.enganabound.2015.03.004 ↗
27. Free vibration analysis of functionally graded carbon nanotube-reinforced composite triangular plates using the FSDT and element-free IMLS-Ritz method10.1016/j.compstruct.2014.10.009 ↗
28. An element-free IMLS-Ritz method for numerical solution of three-dimensional wave equations10.1016/j.cma.2015.08.018 ↗
29. Nonlinear bending analysis of FG-CNT reinforced composite thick plates resting on Pasternak foundations using the element-free IMLS-Ritz method10.1016/j.compstruct.2015.03.011 ↗
30. Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory10.1016/j.compstruct.2011.11.010 ↗
31. Vibrations of carbon nanotube-reinforced composites10.1016/j.jsv.2009.11.020 ↗
32. Eshelby–Mori–Tanaka approach for vibrational behavior of continuously graded carbon nanotube-reinforced cylindrical panels10.1016/j.compositesb.2012.01.004 ↗
33. Prediction of the overall moduli of layered silicate-reinforced nanocomposites—part I: basic theory and formulas10.1016/S0266-3538(03)00024-1 ↗
34. Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites10.1016/j.commatsci.2006.06.011 ↗
35. Mechanical buckling of nanocomposite rectangular plate reinforced by aligned and straight single-walled carbon nanotubes10.1016/j.compositesb.2012.01.067 ↗
36. Eshelby-Mori–Tanaka approach for vibrational behavior of functionally graded carbon nanotube-reinforced plate resting on elastic foundation10.1007/s12206-013-0861-9 ↗
37. Influence of equivalent continuum model based on the Eshelby-Mori–Tanaka scheme on the vibrational response of elastically supported thick continuously graded carbon nanotube-reinforced annular plates10.1002/pc.22818 ↗
38. Influence of graded agglomerated CNTs on vibration of CNT-reinforced annular sectorial plates resting on Pasternak foundation10.1016/j.amc.2012.01.080 ↗
39. Low velocity impact analysis of functionally graded carbon nanotubes reinforced composite skew plates10.1016/j.compstruct.2016.01.045 ↗
40. The effect of nanotube waviness and agglomeration on the elastic property of carbon nanotube-reinforced composites10.1115/1.1751182 ↗
41. Average stress in matrix and average elastic energy of materials with misfitting inclusions10.1016/0001-6160(73)90064-3 ↗
42. Mura · 1987 · vol. 3
43. Vibration analysis of CNT reinforced functionally graded composite plates in a thermal environment based on Reddy’s higher-order shear deformation theory
44. Boundary element-free method (BEFM) for two-dimensional elastodynamic analysis using Laplace transform10.1002/nme.1417 ↗
45. Boundary element-free method (BEFM) and its application to two-dimensional elasticity problems10.1002/nme.1489 ↗
46. Surfaces generated by moving least squares methods10.1090/S0025-5718-1981-0616367-1 ↗
47. A new approach for numerical modal analysis using the element-free method10.1002/(SICI)1097-0207(19990910)46:1<1::AID-NME659>3.0.CO;2-G ↗
48. Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates10.1016/j.matdes.2010.01.048 ↗
49. Reddy · 1997