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.

本文研究了周期性异质纳米管输送流体的稳定性。纳米管系统的控制方程是基于非局部Euler–Bernoulli束理论推导的。动态刚度方法用于分析异质纳米管的固有频率和临界流速。从三个方面介绍了结果和讨论，揭示了周期数，材料长度比和边界条件的影响。特别是，我们对具有周期性结构的异质纳米管和具有相同材料特性积分值的均质纳米管沿纵向进行了比较，以隔离周期性分布的影响。根据仿真结果，