In this work, vibration and stability of fluid-conveying lipid nanotubes are investigated. The first-order shear deformation theory and the nonlocal strain gradient theory are adopted in the model. By using Hamilton’s principle, the governing equations of the present system are obtained. In order to analyze the eigenvalue problem, the modal expansion method is used. Results show that the nonlocal parameter, the length-to-radius ratio, the flow velocity, the material length scale parameter and the solution density have important effect on the free vibration of fluid-conveying lipid nanotubes. Additionally, the current method is validated by comparing with the literature for special cases. The obtained results can be used for the biological application and design of fluid-conveying lipid nanotubes.

在这项工作中，研究了流体输送脂质纳米管的振动和稳定性。模型采用一阶剪切变形理论和非局部应变梯度理论。利用汉密尔顿原理，得到了本系统的控制方程。为了分析特征值问题，使用了模态展开法。结果表明，非局部参数，长径比，流速，材料长度尺度参数和溶液密度对流体传输脂质纳米管的自由振动有重要影响。此外，通过与特殊情况下的文献进行比较来验证当前方法。所得结果可用于流体输送脂质纳米管的生物学应用和设计。