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Steel and Composite Structures
  Volume 45, Number 5, December10 2022 , pages 641-652

Nonlinear free vibration analysis of functionally graded carbon nanotube reinforced fluid-conveying pipe in thermal environment
Xu Chen, Jing-Lei Zhao, Gui-Lin She, Yan Jing, Hua-Yan Pu and Jun Luo

    Fluid-conveying tubes are widely used to transport oil and natural gas in industries. As an advanced composite material, functionally graded carbon nanotube-reinforced composites (FG-CNTRC) have great potential to empower the industry. However, nonlinear free vibration of the FG-CNTRC fluid-conveying pipe has not been attempted in thermal environment. In this paper, the nonlinear free vibration characteristic of functionally graded nanocomposite fluid-conveying pipe reinforced by single-walled carbon nanotubes (SWNTs) in thermal environment is investigated. The SWCNTs gradient distributed in the thickness direction of the pipe forms different reinforcement patterns. The material properties of the FGCNTRC are estimated by rule of mixture. A higher-order shear deformation theory and Hamilton's variational principle are employed to derive the motion equations incorporating the thermal and fluid effects. A two-step perturbation method is implemented to obtain the closed-form asymptotic solutions for these nonlinear partial differential equations. The nonlinear frequencies under several reinforcement patterns are presented and discussed. We conduct a series of studies aimed at revealing the effects of the flow velocity, the environment temperature, the inner-outer diameter ratio, and the carbon nanotube volume fraction on the nature frequency.
Key Words
    carbon nanotube; fluid-conveying pipe; nonlinear vibration; thermal load; two-step perturbation method
Xu Chen, Jing-Lei Zhao, Gui-Lin She, Yan Jing and Jun Luo: College of Mechanical and vehicle Engineering, Chongqing University, Chongqing,400044, China

Hua-Yan Pu: School of Mechatronics Engineering and Automation, Shanghai University, Shanghai, China

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