流体输送管道的固-液耦合特性

Solid-liquid coupling characteristics of fluid-conveying pipes

用有限元法推导流体输送管道固 -液耦合振动方程 ,得到反对称的固 -液耦合阻尼矩阵和对称的固 -液耦合刚度矩阵 .用QR法计算管道的前四阶固有频率 .分别讨论了流体流速、压强变化以及固 -液耦合阻尼和刚度对管道固有频率的影响 ;给出了不同边界条件管道的临界速度和管道前四阶固有频率 -流速曲线 .这对于火箭发动机燃料馈给管道、水轮机供水管道、城市集中供热干管、输水母管、石油集输管线等的研究与设计都有参考意义 .

An equation was formulated using finite element method for the solid-liquid coupling vibration of fluid-conveying pipes to obtain an asymmetrical solid-liquid coupling damp matrix and a symmetrical solid-liquid coupling stiffness matrix. The first four grades of natural frequency of pipes were calculated using QR method. The influence of flow rate, pressure, solid-fluid coupling damp and solid-fluid coupling stiffness on natural frequency was discussed separately. The critical speed of a pipe under different boundary conditions and the curves of the first four grades of natural frequency-flow rate were given for researching and designing fuel-feeding pipes for rocket generator, water-conveying pipes in the watery turbine, central heating pipeline, water-conveying pipeline and petroleum pipeline.