旋转输液管动力稳定性理论分析北大核心CSCD

基于Lagrange原理和假设模态法建立了旋转输液管的动力学模型.通过降阶升维的方法求解系统的特征值问题,并分析了旋转输液管自由振动特性.得到了不同端部集中质量和转速下,系统特征值随流速升高的演变轨迹.揭示了临界流速随系统参数的变化规律.研究发现,内部流体的流动对旋转输液管动力学特性存在显著影响.在某些参数组合下,系统低阶模态能够形成不同形式的内共振关系.预示了旋转输液管模型蕴含丰富的动力学现象.

Theoretical Analysis on Dynamic Stability of Rotating Pipes Conveying Fluid

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 1 st several modes of the system could exist under certain parameter conditions.The work reveals rich dynamic phenomena of the rotating pipe conveying fluid.