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Nonlinear vibration properties of a zigzag single-walled carbon nanotube embedded in a polymer matrix

  • Besseghier, Abderrahmane (Laboratoire de Modelisation et Simulation Multi-echelle, Departement de Physique, Faculte des Sciences Exactes, Departement de Physique, Universite de Sidi Bel Abbes) ;
  • Heireche, Houari (Laboratoire de Modelisation et Simulation Multi-echelle, Departement de Physique, Faculte des Sciences Exactes, Departement de Physique, Universite de Sidi Bel Abbes) ;
  • Bousahla, Abdelmoumen Anis (Laboratoire de Modelisation et Simulation Multi-echelle, Departement de Physique, Faculte des Sciences Exactes, Departement de Physique, Universite de Sidi Bel Abbes) ;
  • Tounsi, Abdelouahed (Laboratoire de Modelisation et Simulation Multi-echelle, Departement de Physique, Faculte des Sciences Exactes, Departement de Physique, Universite de Sidi Bel Abbes) ;
  • Benzair, Abdelnour (Laboratoire de Modelisation et Simulation Multi-echelle, Departement de Physique, Faculte des Sciences Exactes, Departement de Physique, Universite de Sidi Bel Abbes)
  • Received : 2015.01.12
  • Accepted : 2015.03.29
  • Published : 2015.03.25
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Abstract

In the current study, the nonlinear vibration properties of an embedded zigzag single-walled carbon nanotube (SWCNT) are investigated. Winkler-type model is used to simulate the interaction of the zigzag SWCNTs with a surrounding elastic medium. The relation between deflection amplitudes and resonant frequencies of the SWCNT is derived through harmonic balance method. The equivalent Young's modulus and shear modulus for zigzag SWCNT are derived using an energy-equivalent model. The amplitude - frequency curves for large-amplitude vibrations are graphically illustrated. The simulation results show that the chirality of zigzag carbon nanolube as well as surrounding elastic medium play more important roles in the nonlinear vibration of the single-walled carbon nanotubes.

Keywords

Acknowledgement

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

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  69. Frequency response analysis of curved embedded magneto-electro-viscoelastic functionally graded nanobeams vol.7, pp.6, 2019, https://doi.org/10.12989/anr.2019.7.6.391
  70. Nonlocal effect on the vibration of armchair and zigzag SWCNTs with bending rigidity vol.7, pp.6, 2015, https://doi.org/10.12989/anr.2019.7.6.431
  71. An analytical study of vibration in functionally graded piezoelectric nanoplates: nonlocal strain gradient theory vol.40, pp.12, 2015, https://doi.org/10.1007/s10483-019-2545-8
  72. Longitudinal vibration of double nanorod systems using doublet mechanics theory vol.73, pp.1, 2015, https://doi.org/10.12989/sem.2020.73.1.037
  73. Effect of laminate configuration on the free vibration/buckling of FG Graphene/PMMA composites vol.8, pp.2, 2015, https://doi.org/10.12989/anr.2020.8.2.103
  74. Mechanical-hygro-thermal vibrations of functionally graded porous plates with nonlocal and strain gradient effects vol.7, pp.2, 2015, https://doi.org/10.12989/aas.2020.7.2.169
  75. A review of effects of partial dynamic loading on dynamic response of nonlocal functionally graded material beams vol.9, pp.1, 2015, https://doi.org/10.12989/amr.2020.9.1.033
  76. Thermal buckling of nonlocal clamped exponentially graded plate according to a secant function based refined theory vol.35, pp.1, 2020, https://doi.org/10.12989/scs.2020.35.1.147
  77. Investigation of microstructure and surface effects on vibrational characteristics of nanobeams based on nonlocal couple stress theory vol.8, pp.3, 2015, https://doi.org/10.12989/anr.2020.8.3.191
  78. Simulating vibration of single-walled carbon nanotube using Rayleigh-Ritz's method vol.8, pp.3, 2015, https://doi.org/10.12989/anr.2020.8.3.215
  79. Scale-dependent thermal vibration analysis of FG beams having porosities based on DQM vol.8, pp.4, 2015, https://doi.org/10.12989/anr.2020.8.4.283
  80. Nonlocal nonlinear dynamic behavior of composite piezo-magnetic beams using a refined higher-order beam theory vol.35, pp.4, 2015, https://doi.org/10.12989/scs.2020.35.4.545
  81. Nonlinear vibration of smart nonlocal magneto-electro-elastic beams resting on nonlinear elastic substrate with geometrical imperfection and various piezoelectric effects vol.25, pp.5, 2015, https://doi.org/10.12989/sss.2020.25.5.619
  82. Vibration analysis of nonlocal strain gradient porous FG composite plates coupled by visco-elastic foundation based on DQM vol.9, pp.3, 2020, https://doi.org/10.12989/csm.2020.9.3.201
  83. Analyzing exact nonlinear forced vibrations of two-phase magneto-electro-elastic nanobeams under an elliptic-type force vol.9, pp.1, 2015, https://doi.org/10.12989/anr.2020.9.1.047
  84. Frequency, bending and buckling loads of nanobeams with different cross sections vol.9, pp.2, 2015, https://doi.org/10.12989/anr.2020.9.2.091
  85. Nonlocal nonlinear stability of higher-order porous beams via Chebyshev-Ritz method vol.76, pp.3, 2015, https://doi.org/10.12989/sem.2020.76.3.413
  86. Nonlinear Behavior of Single Walled Carbon Nanotube Reinforced Aluminium Alloy Beam vol.69, pp.None, 2015, https://doi.org/10.4028/www.scientific.net/jnanor.69.89