粘性流体与输流管道耦合振动的有限元分析  

Coupling Vibration Analysis of Viscous Fluid and Fluid-conveying Pipes by Finite Element Method

作　　者：随岁寒 李成 SUI Suihan;LI Cheng(School of Mechanical Engineering,Shangqiu Institute of Technology,Shangqiu 476000,China;School of Rail Transportation,Soochow University,Suzhou 215131.China)

机构地区：[1]商丘工学院机械工程学院,河南商丘476000 [2]苏州大学轨道交通学院,江苏苏州215131

出　　处：《海南师范大学学报（自然科学版）》2021年第1期34-39,共6页Journal of Hainan Normal University（Natural Science）

基　　金：国家自然科学基金(11972240)。

摘　　要：考虑粘性流体在圆管中层流流动,采用Euler梁模型描述细长管道模型。应用虚功原理推导输流管道系统的流固耦合振动有限元方程,研究了简支和固支两种边界条件下管道系统固有频率及流体平均速度、流体粘性和预应力对固有频率的影响,分析了粘性的存在对临界速度的影响。结果表明,粘性的存在使得前三阶固有频率偏低,流体平均速度越大这一趋势越明显;流体平均速度越大,前三阶固有频率越小;随着预应力的增大,前三阶固有频率增大;粘性的存在使得临界速度降低。Considering the laminar flow of viscous fluid in a pipe,the Euler beam model was used to describe the slender pipe model.The finite element governing equation of liquid-solid coupled vibration system was derived based on the principle of virtual work.The natural frequencies of the flow-conveying pipe system were obtained on two boundary conditions of simply supported and fixed.The effects of average liquid velocity,liquid viscosity and pre-stress on natural frequencies were studied.The influence of liquid viscosity on the critical velocity was also analyzed.The results show that the existence of viscidity made the first three natural frequencies tend to be low,the higher the average fluid velocity,the more obvious the trend,the higher the average velocity of fluid,the smaller the first three natural frequencies.The first three natural frequencies increased with the increase of pre-stress,and the presence of viscosity reduces the critical velocity.

关 键 词：粘性流体 输流管道 耦合振动 有限元法 预应力 

分 类 号：O327[理学—一般力学与力学基础]