Mechanic of Advanced and Smart Materials
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Effects of Graphene Platelet Weight Fraction and Fractional Damping on Nonlinear Vibration Behavior of Fluid-Conveying Microtubules on a Nonlinear Viscoelastic Foundation

Articles in Press

Document Type : Original Article

Authors

Ahmad Homayooni 1
Sina Ghahnavieh 2
Rouzbeh Nouhi Hefzabad 3

1 Department of Mechanical Engineering, Arak University of Technology, Arak, Iran

2 School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran

3 School of Railway Engineering, Iran University of Science and Technology, Tehran, Iran

10.61186/masm.2026.2081698.1178
Abstract
In this research, the primary resonance of a fractional viscoelastic microtube reinforced with graphene nanoplatelets conveying fluid and resting on a nonlinear viscoelastic foundation has been investigated. The main objective of this study is to analyze the effects of the graphene nanoplatelets weight fraction, the coefficients of the nonlinear fractional viscoelastic model, and damping on the nonlinear vibration behavior of the cantilever fluid-conveying microtube system.

Using micromechanics theory, the modified couple stress theory, and mathematical modeling of the mechanical properties of graphene nanoplatelets and nonlinear fractional viscoelasticity within the framework of Euler-Bernoulli beam theory, the governing equations of motion for the fluid-conveying microtube were derived. The equations were discretized using the Galerkin method and subsequently solved by the multiple scales method. The results showed that an increase in the graphene nanoplatelets weight fraction parameter leads to a decrease in the nonlinear stiffness of the system. Furthermore, the response amplitude of the microtube undergoes a very significant reduction with an increase in the fractional viscoelastic derivative parameter. The findings of this investigation can be applied in the design and development of fluid force microscopes, medical instruments, and drug delivery systems.

Keywords

Cantilever microtubule Conveying fluid
Graphene platelet reinforced
Natural frequency
Nonlinear primary resonance
Multiple scales method
Mechanic of Advanced and Smart Materials

Articles in Press, Accepted Manuscript
Available Online from 07 June 2026

  • Receive Date 22 December 2025
  • Revise Date 27 February 2026
  • Accept Date 07 June 2026

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