埋在土中的输液管道的耦联振动

Coupled Vibration of a Buried Pipe Conveying Fluids

本文对平面应变情况下,管道、流体与外土壤介质三者间的耦联振动进行了精确分析。在严格满足所有耦合边界条件的情况下,导出了系统自由振动的频率方程,并给出了各参数对最低阶固有频率影响的数值结果。当对更复杂水一管一土耦合系统进行数值解时,本文结果可作为检验其精度的一个依据。

This paper gives a precise solution to the coupled vibration of a cylindrical shell conveying fluid and surrounding with a medium under the condition of plane strain. In the case of all coupling conditions being satisfied rigorously, a compact frequency equation is derived for the free coupled vibration. From this equation, some numerical results are obtained to show the influence of different parameters upon the lowest positive frequency of the system. These results can be used as a comparison in analysing more complex soil-pipe-fluid coupling systems with numerical methods.