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<p>In this paper, the nonlinear torsional vibration of a viscoelastic single-wall carbon nanotubes (SWCNT’s) embedded in a viscoelastic medium in three-dimensional thermal stresses is investigated. The Kelvin-Voigt relation is used to consider the effect of viscoelasticity of SWCNTs. Nonlocal theory is used to consider the small-size effect of the SWNCTs. Effect of temperature changes on the mechanical properties of SWCNTs is considered. Hamilton principle is used to obtain boundary conditions and nonlinear nonlocal equation of motion. Then, the multiple scale method is used to solve equation of motion and obtain nonlinear damped nonlocal natural frequencies. Effect of temperature changes, stiffness of viscoelastic medium, and damping viscoelastic SWCNTs on the natural frequencies and torsional vibration response is investigated. Nonlinear torsional frequencies decrease by increasing the temperature, and as the retardation time increases the nonlinear torsional frequencies increases. Regarding temperature dependent properties, the results revealed that by increasing the temperature dependent properties the nonlinear nonlocal torsional frequencies increases.</p>

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Nonlinear Nonlocal Torsional Vibration Analysis of Temperature-Dependent Viscoelastic Carbon Nanotubes Embedded in a Viscoelastic Medium Using Kelvin-Voigt Model

  • 期刊论文

  • 发表日期：

    2025年5月16日

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  • Dilshad Azad Mohammed,
  • Nazhad Ahmed Hussein

摘要

In this paper, the nonlinear torsional vibration of a viscoelastic single-wall carbon nanotubes (SWCNT’s) embedded in a viscoelastic medium in three-dimensional thermal stresses is investigated. The Kelvin-Voigt relation is used to consider the effect of viscoelasticity of SWCNTs. Nonlocal theory is used to consider the small-size effect of the SWNCTs. Effect of temperature changes on the mechanical properties of SWCNTs is considered. Hamilton principle is used to obtain boundary conditions and nonlinear nonlocal equation of motion. Then, the multiple scale method is used to solve equation of motion and obtain nonlinear damped nonlocal natural frequencies. Effect of temperature changes, stiffness of viscoelastic medium, and damping viscoelastic SWCNTs on the natural frequencies and torsional vibration response is investigated. Nonlinear torsional frequencies decrease by increasing the temperature, and as the retardation time increases the nonlinear torsional frequencies increases. Regarding temperature dependent properties, the results revealed that by increasing the temperature dependent properties the nonlinear nonlocal torsional frequencies increases.