| 随岁寒1，李 成2.粘性流体与输流管道耦合振动的有限元分析[J].海南师范大学学报自科版,2021,34(1):34-39 |
| 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-conveyingPipes by Finite Element Method |
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| DOI：10.12051/j.issn.1674-4942.2021.01.006 |
| 中文关键词: 粘性流体 输流管道 耦合振动 有限元法 预应力 |
| 英文关键词: viscous fluid flow-conveying pipes coupled vibration finite element method pre-stress |
| 基金项目:国家自然科学基金（11972240） |
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| 摘要点击次数: 534 |
| 全文下载次数: 949 |
| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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 princi‐
ple 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 fre‐
quencies increased with the increase of pre-stress, and the presence of viscosity reduces the critical velocity. |
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