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中文摘要：
根据Hamilton变分原理，建立了两端固支管道流固耦合振动的控制方程，用幂级数近似管道的振型函数，求得了方程的解析解，推导了管道固有频率、临界流速、临界压力的计算方法。最后，应用本文推导的计算方法，对一段典型飞机发动机输油管道进行了计算分析，研究了前两阶固有频率，临界流速、临界压力与流体压力、流速、管道固支长度之间的关系。
英文摘要：
It es tatablished the control equation of Fluid Structure Interaction（FSI） rib ration of liquidfilled pipes on the basis of Hamilton＇s variation principle. In the analysis ,the mode function was approximated by positive series and obtained Explicit analytic solution. The formulas of the pipe natural frequeney,critical flow velocity and critical pressure were derived. Finally,a section oil-filled pipe of aircraft engine was analyzed using the proposed method. The relationship of the first two orders of natural frequencyflow velocity,critical flow velocity-liquid pressure and critical pressure-flow velocity were studied.
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