漆发辉,王天林,郭长青.分布随从力作用下黏弹性悬臂输流管道的稳定性分析[J].南华大学学报(自然科学版),2022,(6):1~7.[QI Fahui,WANG Tianlin,GUO Changqing.Stability Analysis of Viscoelastic Cantilever Pipeline Conveying Fluid under Distributed Follow-up Force[J].Journal of University of South China(Science and Technology),2022,(6):1~7.] |
分布随从力作用下黏弹性悬臂输流管道的稳定性分析 |
Stability Analysis of Viscoelastic Cantilever Pipeline Conveying Fluid under Distributed Follow-up Force |
投稿时间:2022-07-16 |
DOI: |
中文关键词: 流固耦合 分布随从力 黏弹性输流管道 稳定性〖PS22-06漆发辉OSID码.tif Y4*4,Y#〗 |
英文关键词:fluid-structure interaction distributed follower force viscoelastic pipeline stability |
基金项目:国家自然科学基金项目(51678286) |
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中文摘要: |
对在流动流体和分布随从力共同作用下的黏弹性输流管道,以Kelvin黏弹性模型和Euler梁模型为基础建立输流管道的运动微分方程,然后采用Galerkin方法对其离散化。通过特征值分析,研究分布随从力、质量比、黏弹性系数对系统失稳临界流速的影响。运用复频率随流速变化的曲线,分析不同的参数作用下系统的振动特性和稳定性。结果表明:分布随从力越大,系统失稳的临界流速越小;随着质量比的增大,临界流速会增大;黏弹性系数增大时,临界流速也会略微增大;悬臂输流管道的失稳方式主要为颤振失稳。 |
英文摘要: |
For a viscoelastic pipe conveying fluid under the combined action of flowing fluid and distributed follower force, the differential equation of motion of the pipe conveying fluid is established based on Kelvin viscoelastic model and Euler beam model, and then discretized by Galerkin method. Through eigenvalue analysis, the influences of distributed follower force, mass ratio and viscoelastic coefficient on the critical velocity of system instability are studied. The vibration characteristics and stability of the system under different parameters are analyzed by using the curves of complex frequencies changing with flow velocity. The results show that the larger the distributed follower force, the lower the critical flow velocity for instability of the system; with the increase of mass ratio, the critical velocity will increase. When the viscoelastic coefficient increases, the critical flow velocity will also increase slightly. The predominant mode of instability for cantilever flow pipelines is flutter. |
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