Volume 38 Issue 3
Feb 2022
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JOURNAL OF MECHANICAL ENGINEERING  > 2022  >  38(3): 521513.
Q. Jin, and Y. Ren,Nonlinear size-dependent dynamic instability and local bifurcation of FG nanotubes transporting oscillatory fluids. Acta Mech. Sin., 2022, 38, http://www.w3.org/1999/xlink' xlink:href='https://doi.org/10.1007/s10409-021-09075-x'>https://doi.org/10.1007/s10409-021-09075-x
Citation: Q. Jin, and Y. Ren,Nonlinear size-dependent dynamic instability and local bifurcation of FG nanotubes transporting oscillatory fluids. Acta Mech. Sin., 2022, 38, http://www.w3.org/1999/xlink" xlink:href="https://doi.org/10.1007/s10409-021-09075-x">https://doi.org/10.1007/s10409-021-09075-x
shu

Nonlinear size-dependent dynamic instability and local bifurcation of FG nanotubes transporting oscillatory fluids

doi: 10.1007/s10409-021-09075-x

  • College of Mechanical and Vehicle Engineering, Hunan Univeristy, Changsha 410082, China

Funds:

the National Natural Science Foundation of China Grant

Hunan Provincial Innovation Foundation for Postgraduate Grant

More Information
  • Corresponding author: Ren Yiru, E-mail address: renyiru@hnu.edu.cn (Yiru Ren)
  • Accepted Date: 27 Nov 2021
    • Available Online: 01 Aug 2022
  • Publish Date: 23 Feb 2022
  • Issue Publish Date: 01 Mar 2022
    Abstract
  • Oscillation of fluid flow may cause the dynamic instability of nanotubes, which should be valued in the design of nanoelectromechanical systems. Nonlinear dynamic instability of the fluid-conveying nanotube transporting the pulsating harmonic flow is studied. The nanotube is composed of two surface layers made of functionally graded materials and a viscoelastic interlayer. The nonlocal strain gradient model coupled with surface effect is established based on Gurtin-Murdoch’s surface elasticity theory and nonlocal strain gradient theory. Also, the size-dependence of the nanofluid is established by the slip flow model. The stability boundary is obtained by the two-step perturbation-Galerkin truncation-Incremental harmonic balance (IHB) method and compared with the linear solutions by using Bolotin’s method. Further, the Runge-Kutta method is utilized to plot the amplitude-frequency bifurcation curves inside/outside the region. Results reveal the influence of nonlocal stress, strain gradient, surface elasticity and slip flow on the response. Results also suggest that the stability boundary obtained by the IHB method represents two bifurcation points when sweeping from high frequency to low frequency. Differently, when sweeping to high frequency, there exists a hysteresis boundary where amplitude jump will occur.

     

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