Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams
Source abstract
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.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Nonlocal and gradient elasticity in micro/nano structures · Structural Behavior of Reinforced Concrete
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (36)
Show source-provided references
1. Advances in the science and technology of carbon nanotubes and their composites: a review10.1016/S0266-3538(01)00094-X ↗
2. Carbon nanotube reinforced composites: potential and current challenges10.1016/j.matdes.2006.09.022 ↗
3. Aligned carbon nanotube arrays formed by cutting a polymer resin—nanotube composite10.1126/science.265.5176.1212 ↗
4. Morphological and mechanical properties of carbon-nanotube-reinforced semicrystalline and amorphous polymer composites10.1063/1.1533118 ↗
5. Constitutive modelling of nanotube-reinforced polymer composites10.1016/S0266-3538(03)00063-0 ↗
6. On the elastic properties of carbon nanotube-based composites: modelling and characterization10.1088/0022-3727/36/5/323 ↗
7. Molecular dynamics simulations of the elastic moduli of polymer–carbon nanotube composites10.1016/j.cma.2003.12.025 ↗
8. A study on the tensile response and fracture in carbon nanotube-based composites using molecular mechanics10.1016/j.compscitech.2006.08.014 ↗
9. Thermo-mechanical properties of randomly oriented carbon/epoxy nanocomposites10.1016/j.compositesa.2005.02.006 ↗
10. Prediction of elastic properties of carbon nanotube reinforced composites10.1098/rspa.2004.1422 ↗
11. Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites10.1016/j.commatsci.2006.06.011 ↗
12. Molecular dynamics study of the stress–strain behavior of carbon-nanotube reinforced Epon 862 composites10.1016/j.msea.2006.10.054 ↗
13. Deflection and stress behaviour of nanocomposite reinforced beams using a multiscale analysis10.1016/j.compstruct.2005.09.011 ↗
14. Bending and local buckling of a nanocomposite beam reinforced by a single-walled carbon nanotube10.1016/j.ijsolstr.2005.05.014 ↗
15. Buckling of boron nitride nanotube reinforced piezoelectric polymeric composites subject to combined electro-thermo-mechanical loadings10.1016/j.compscitech.2007.10.024 ↗
16. A single-walled carbon nanotube reinforced 1–3 piezoelectric composite for active control of smart structures10.1088/0964-1726/16/5/051 ↗
17. Suresh · 1998
18. Nonlinear bending analysis of shear deformable functionally graded plates subjected to thermo-mechanical loads under various boundary conditions10.1016/S1359-8368(02)00083-5 ↗
19. Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method10.1016/j.compstruct.2004.08.003 ↗
20. Random vibration of the functionally graded laminates in thermal environments10.1016/j.cma.2005.01.016 ↗
21. Three-dimensional thermomechanical buckling analysis for functionally graded composite plates10.1016/j.compstruct.2005.02.012 ↗
22. Post-buckling analysis of functionally graded rectangular plates10.1016/j.compstruct.2005.08.026 ↗
23. Postbuckling analysis of edge cracked functionally graded Timoshenko beams under end shortening10.1016/j.compstruct.2009.03.003 ↗
24. Free vibration and buckling analyses of functionally graded beams with edge cracks10.1016/j.compstruct.2007.03.006 ↗
25. Free vibration and stability of functionally graded circular cylindrical shells according to a 2D higher-order deformation theory10.1016/j.compstruct.2008.05.019 ↗
26. Large amplitude vibration of thermo-electro-mechanically stressed FGM laminated plates10.1016/S0045-7825(03)00387-6 ↗
27. Nonlinear vibration of a shear deformable functionally graded plate10.1016/j.compstruct.2004.03.022 ↗
28. Nonlinear free vibration behavior of functionally graded plates10.1016/j.jsv.2005.02.031 ↗
29. Nonlinear vibration of edge cracked functionally graded Timoshenko beams10.1016/j.jsv.2009.02.023 ↗
30. Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments10.1016/j.compstruct.2009.04.026 ↗
31. Temperature-dependent elastic properties of single-walled carbon nanotubes: prediction from molecular dynamics simulation10.1063/1.2336622 ↗
32. Liew · 1998
33. Analysis of the nonlinear vibrations of unsymmetrically laminated composite beams10.2514/3.10796 ↗
34. Nonlinear oscillations of thick asymmetric cross-ply beams10.1007/BF01170368 ↗
35. Flexural vibration and elastic buckling of a cracked Timoshenko beam made of functionally graded materials10.1080/15376490902781175 ↗
36. Non-linear beam vibration problems and simplifications in finite element models10.1007/s00466-004-0622-9 ↗