中文摘要：

本文围绕不同尺度级的输液管结构，针对液流引起的管道振动与稳定性综述了目前已有的几种物理和数学模型，详细介绍了梁模型输液管的各类振动控制方程，重点讨论了宏观尺度、微米尺度和纳米尺度下输液管振动方程的异同点．在此基础之上，进一步概述了近几年这些输液管振动与稳定性问题研究的现状和一些重要研究结果，其中也包括作者们近期的相关工作．最后对未来的研究趋势作了分析和预测．通过本文可以看到，输液管振动问题仍有不少难题尚未很好解决，特别是微纳米输液管的建模和流固耦振机理方面的研究亟需加强．

英文摘要：

This paper reviews several physical and mathematical models for the vibration and stability of pipes conveying fluid with different length scales. Various equations of motion, for fluid-conveying pipes from macro-scale to micro- and nano-scales, and their differences are discussed in details. Based on these existing models and equations, researches and some important results （including some recent works done by the authors） on the vibration and stability of pipes conveying fluid, reported in the past years, are summarized. Finally, the future trends and advances are proposed. It is endeavoured to show that there are a number of unresolved issues in the vibration problem of pipes conveying fluid, and that especially the accurate analytical models and the corresponding fluid-structure interaction mechanism are vital for the further analysis of micro- and nano-scale pipes conveying fluid.