无限介质包围的充液管道中导波的频散特性

The dispersion characteristic of guided waves in a liquid-filled pipe embedded in the infinite medium

利用波传播方法从理论上分析了无限介质包围的充液管道中导波的频散特性。基于经典的薄壳振动理论,求出了不同传输路径中的波数表达式,并利用数值方法对振动方程进行解析研究,分析管道参数和无限介质对导波频散特性的影响。结果表明,管道厚径比、管壁厚度、无限介质和管壁材料与导波频散密切相关。其中管道厚径比和管壁材料对流体主导波(s1波)频散的影响更大,管壁厚度和无限介质对管壁压缩波(s2波)频散的影响更大。通过仿真证实了无限介质对s2波频散的影响比对s1波更大。研究结果对于地埋管道的漏损检测具有一定的参考意义。

The dispersion characteristics of guided waves in a liquid-filled pipe embedded in the infinite medium is analyzed by using the wave propagation method.Based on the thin-shell vibration theory,the expressions of wavenumber in different transmission paths are obtained,and the vibration equation is studied by numerical method.The influences of the pipe parameters and the infinite medium on the dispersion characteristic of guided waves are analyzed.The results show that the pipe thickness-to-radius ratio,pipe wall thickness,infinite medium,and pipe wall material are closely related to the guided wave dispersion.The pipe thickness-to-radius ratio and the pipe wall material have great impacts on the dispersion characteristic of the fluid-dominated wave(s1 wave);the pipe wall thickness and the infinite medium influence the dispersion characteristic of the shell-compressed wave(s2 wave)significantly;and the simulation result confirm that the effect of the infinite medium on the dispersion characteristic of s2 wave is greater than that of s1 wave.This research has certain reference significance for the leakage detection of buried pipes.