旋转输液管动力稳定性理论分析

The dynamic model was built for rotating pipes conveying fluid based on the Lagrange principle and the assumed mode method. The eigenvalue problem of the system was solved via the method of "reducing the order and increasing the dimension". The free vibration characteristics of the rotating pipe conveying fluid were analyzed. The variations of the eigenvalue trajectories with the fluid velocity were illustrated under different tip masses and rotating speeds. The effects of system parameters on the critical fluid velocity were revealed. It is found that, the flowing fluid has significant effects on the dynamic characteristics of the rotating pipe. Different internal resonances between the 1st several modes of the system could exist under certain parameter conditions. The work reveals rich dynamic phenomena of the rotating pipe conveying fluid.