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Structural Engineering and Mechanics
  Volume 78, Number 1, April10 2021, pages 103-116

Nonlinear vibration and stability of FG nanotubes conveying fluid via nonlocal strain gradient theory
Van-Hieu Dang, Hamid M. Sedighi, Do Quang Chan, Omer Civalek and Ahmed E. Abouelregal

    In this work, a model of a functionally graded (FG) nanotube conveying fluid embedded in an elastic medium is developed based on the nonlocal strain gradient theory (NSGT) in conjunction with Euler-Bernoulli beam theory (EBT). The main objective of this research is to investigate the nonlinear vibration and stability analysis of fluid-conveying nanotubes. The governing equations of motion are derived by means of Hamiltonian principle. The analytical expressions of nonlinear frequencies and critical flow velocities for two different types of boundary conditions including pinned-pinned (P-P) and clamped-clamped (C-C) conditions are obtained by employing Galerkin method as well as Hamiltonian Approach (HA). Comparison of the obtained results with the published works show the acceptable accuracy of the current solutions. The effects of the power-law index, the nonlocal and material length scale parameters and the elastic medium on the stability and nonlinear responses of FG nanotubes are thoroughly investigated and discussed.
Key Words
    nanotube; functionally graded material; nonlinear vibration; stability; conveying fluid
Van-Hieu Dang: TNU - Thai Nguyen University of Technology, Thainguyen, Vietnam
Hamid M. Sedighi: Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz 61357-43337, Iran; Drilling Center of Excellence and Research Center, Shahid Chamran University of Ahvaz, Ahvaz, 61357-43337, Iran
Do Quang Chan: University of Transport Technology, Hanoi, Vietnam
Omer Civalek: China Medical University, Taichung, Taiwan
Ahmed E. Abouelregal: Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayat, Saudi Arabia; Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt

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