Steel and Composite Structures

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On bending, buckling and vibration responses of functionally graded carbon nanotube-reinforced composite beams

  • Tagrara, S.H. (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Benachour, Abdelkader (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Bouiadjra, Mohamed Bachir (Algerian National Thematic Agency of Research in Science and Technology (ATRST)) ;
  • Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
  • Received : 2015.01.14
  • Accepted : 2015.05.07
  • Published : 2015.11.25
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Abstract

In this work, a trigonometric refined beam theory for the bending, buckling and free vibration analysis of carbon nanotube-reinforced composite (CNTRC) beams resting on elastic foundation is developed. The significant feature of this model is that, in addition to including the shear deformation effect, it deals with only 3 unknowns as the Timoshenko beam (TBM) without including a shear correction factor. The single-walled carbon nanotubes (SWCNTs) are aligned and distributed in polymeric matrix with different patterns of reinforcement. The material properties of the CNTRC beams are assessed by employing the rule of mixture. To examine accuracy of the present theory, several comparison studies are investigated. Furthermore, the effects of different parameters of the beam on the bending, buckling and free vibration responses of CNTRC beam are discussed.

Keywords

Acknowledgement

Supported by : Algerian National Thematic Agency of Research in Science and Technology (ATRST), university of Sidi Bel Abbes (UDL SBA) in Algeria

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  27. Bending and buckling analyses of functionally graded polymer composite plates reinforced with graphene nanoplatelets vol.134, 2018, https://doi.org/10.1016/j.compositesb.2017.09.043
  28. Finite element and micromechanical modeling for investigating effective material properties of polymer–matrix nanocomposites with microfiber, reinforced by CNT arrays vol.8, pp.3, 2016, https://doi.org/10.1007/s40091-016-0132-y
  29. Geometrically nonlinear resonance of higher-order shear deformable functionally graded carbon-nanotube-reinforced composite annular sector plates excited by harmonic transverse loading vol.133, pp.2, 2018, https://doi.org/10.1140/epjp/i2018-11874-6
  30. Haar Wavelet Method for Nonlinear Vibration of Functionally Graded CNT-Reinforced Composite Beams Resting on Nonlinear Elastic Foundations in Thermal Environment vol.2018, pp.1875-9203, 2018, https://doi.org/10.1155/2018/9597541
  31. Nonlinear Frequency Responses of Functionally Graded Carbon Nanotube-Reinforced Sandwich Curved Panel Under Uniform Temperature Field vol.10, pp.03, 2018, https://doi.org/10.1142/S175882511850028X
  32. Thermal and Small-Scale Effects on Vibration of Embedded Armchair Single-Walled Carbon Nanotubes vol.51, pp.1661-9897, 2018, https://doi.org/10.4028/www.scientific.net/JNanoR.51.24
  33. A novel quasi-3D hyperbolic shear deformation theory for functionally graded thick rectangular plates on elastic foundation vol.12, pp.1, 2015, https://doi.org/10.12989/gae.2017.12.1.009
  34. Collapse of steel cantilever roof of tribune induced by snow loads vol.23, pp.3, 2015, https://doi.org/10.12989/scs.2017.23.3.273
  35. A non-polynomial four variable refined plate theory for free vibration of functionally graded thick rectangular plates on elastic foundation vol.23, pp.3, 2015, https://doi.org/10.12989/scs.2017.23.3.317
  36. Free vibration analysis of embedded nanosize FG plates using a new nonlocal trigonometric shear deformation theory vol.19, pp.6, 2015, https://doi.org/10.12989/sss.2017.19.6.601
  37. Dynamic bending response of SWCNT reinforced composite plates subjected to hygro-thermo-mechanical loading vol.20, pp.2, 2015, https://doi.org/10.12989/cac.2017.20.2.229
  38. A four variable refined nth-order shear deformation theory for mechanical and thermal buckling analysis of functionally graded plates vol.13, pp.3, 2015, https://doi.org/10.12989/gae.2017.13.3.385
  39. A simple quasi-3D sinusoidal shear deformation theory with stretching effect for carbon nanotube-reinforced composite beams resting on elastic foundation vol.13, pp.5, 2015, https://doi.org/10.12989/eas.2017.13.5.509
  40. Forced vibration analysis of cracked functionally graded microbeams vol.6, pp.1, 2015, https://doi.org/10.12989/anr.2018.6.1.039
  41. A new quasi-3D higher shear deformation theory for vibration of functionally graded carbon nanotube-reinforced composite beams resting on elastic foundation vol.66, pp.6, 2018, https://doi.org/10.12989/sem.2018.66.6.771
  42. Nonlinear free and forced vibration analysis of microbeams resting on the nonlinear orthotropic visco-Pasternak foundation with different boundary conditions vol.28, pp.2, 2018, https://doi.org/10.12989/scs.2018.28.2.149
  43. Reliability analysis-based conjugate map of beams reinforced by ZnO nanoparticles using sinusoidal shear deformation theory vol.28, pp.2, 2015, https://doi.org/10.12989/scs.2018.28.2.195
  44. Buckling response with stretching effect of carbon nanotube-reinforced composite beams resting on elastic foundation vol.67, pp.2, 2018, https://doi.org/10.12989/sem.2018.67.2.125
  45. Bending of a cracked functionally graded nanobeam vol.6, pp.3, 2015, https://doi.org/10.12989/anr.2018.6.3.219
  46. Analytical determination of shear correction factor for Timoshenko beam model vol.29, pp.4, 2015, https://doi.org/10.12989/scs.2018.29.4.483
  47. Size-dependent forced vibration response of embedded micro cylindrical shells reinforced with agglomerated CNTs using strain gradient theory vol.22, pp.5, 2015, https://doi.org/10.12989/sss.2018.22.5.527
  48. Improvement of thermal buckling response of FG-CNT reinforced composite beams with temperature-dependent material properties resting on elastic foundations vol.6, pp.3, 2019, https://doi.org/10.12989/aas.2019.6.3.207
  49. Vibration analysis of nonlocal porous nanobeams made of functionally graded material vol.7, pp.5, 2019, https://doi.org/10.12989/anr.2019.7.5.351
  50. Vibration analysis of nonlocal porous nanobeams made of functionally graded material vol.7, pp.5, 2019, https://doi.org/10.12989/anr.2019.7.5.351
  51. Static stability analysis of axially functionally graded tapered micro columns with different boundary conditions vol.33, pp.1, 2019, https://doi.org/10.12989/scs.2019.33.1.133
  52. Cut out effect on nonlinear post-buckling behavior of FG-CNTRC micro plate subjected to magnetic field via FSDT vol.7, pp.6, 2015, https://doi.org/10.12989/anr.2019.7.6.405
  53. Vibration and stability analysis of functionally graded CNT-reinforced composite beams with variable thickness on elastic foundation vol.233, pp.12, 2015, https://doi.org/10.1177/1464420719866222
  54. Free axial vibration of cracked axially functionally graded nanoscale rods incorporating surface effect vol.35, pp.3, 2015, https://doi.org/10.12989/scs.2020.35.3.449
  55. Dynamic Analysis of Multi-Stepped Functionally Graded Carbon Nanotube Reinforced Composite Plate with General Boundary Condition vol.2021, pp.None, 2015, https://doi.org/10.1155/2021/5579439
  56. Nonlocal free vibration analysis of porous FG nanobeams using hyperbolic shear deformation beam theory vol.10, pp.3, 2015, https://doi.org/10.12989/anr.2021.10.3.281
  57. Effect of nonlinear FG-CNT distribution on mechanical properties of functionally graded nano-composite beam vol.78, pp.2, 2021, https://doi.org/10.12989/sem.2021.78.2.117
  58. On static buckling of multilayered carbon nanotubes reinforced composite nanobeams supported on non-linear elastic foundations vol.40, pp.3, 2021, https://doi.org/10.12989/scs.2021.40.3.389
  59. Perturbation Method for Thermal Post-Buckling Analysis of Shear Deformable FG-CNTRC Beams with Different Boundary Conditions vol.21, pp.13, 2021, https://doi.org/10.1142/s0219455421501753
  60. Bending and free vibration analysis of symmetric and unsymmetric functionally graded CNT reinforced sandwich beams containing softcore vol.170, pp.None, 2015, https://doi.org/10.1016/j.tws.2021.108626