Stability Analysis of a Periodic Fluid-Conveying Heterogeneous Nanotube System

Abstract

In this paper, the stability of a periodic heterogeneous nanotube conveying fluid is investigated. The governing equations of the nanotube system are derived based on the nonlocal Euler–Bernoulli beam theory. The dynamic stiffness method is employed to analyze the natural frequencies and critical flow velocities of the heteronanotube. The results and discussions are presented from three aspects which reveal the influences of period number, material length ratio and boundary conditions. In particular, we make comparisons between the heterogeneous nanotubes with periodic structure and the homogeneous ones with the same integral values of material properties along the longitudinal direction to isolate the influences of periodic distribution. According to the simulation results, we can conclude that with a proper selection of period number in terms of length ratio, the stability of the constructed nanotube can be improved.

On the impact process and stress field of functionally graded graphene reinforced composite pipes with a viscoelastic interlayer

“…From the perspective of dynamics, both the overall structural characteristics (Dai et al, 2013; Li et al, 2020b; Peng et al, 2018) and flow conditions (Li et al, 2013; Yang et al, 2014) jointly affect the dynamic phenomenon of the pipes under various loads. Dai et al (2020) studied the stability law of periodic fluid-conveying heterogeneous nanotube system. Lyu et al (2020) applied ultra-thin piezoelectric lattice to the vibration reduction design of pipe conveying fluid.…”