两端简支输液管道流固耦合振动分析

根据Hamilton原理推导出流固耦合自由振动变分方程，采用直接解法求解自由振动的固有频率、临界流速和临界压力的解析解表达式。讨论了流速、压力和简支长度的变化对管道固有频率的影响，分析了简支长度和压力的变化对临界流速的影响。

Liquid-solid Coupling Vibration Analysis of the Hinged Pipes for Fluid Transportation

On the basis of Hamilton principle, the equation of the solid--liquid coupling vibration of pipes conveying fluid was deduced. The formulas of the natural frequency, critical velocity and critical pressure were established by means of direct method. The influences of flowing velocity, pressure, and the length of hinged supports on inherent vibration frequency of a pipe conveying fluid was discussed and finally how the critical velocity of the fluid was affected by the pressure and the length of hinged supports was analyzed.