| 王艳红,郭长青,陈翔瑜.端部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),2023,(6):1~7.[WANG Yanhong,GUO Changqing,CHENG Xiangyu.Stability Analysis of Viscoelastic Cantilever Fluid-conveying Pipes Under the Action of End-following Force[J].Journal of University of South China(Science and Technology),2023,(6):1~7.] |
| 端部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 Fluid-conveying Pipes Under the Action of End-following Force |
| 投稿时间：2023-10-20 |
| DOI： |
| 中文关键词: 端部随从力 黏弹性 输流管道 颤振 稳定性 |
| 英文关键词:end-following force viscoelasticity fluid-conveying pipe fluttering stability |
| 基金项目:国家自然科学基金资助项目(51678286) |
|
| 摘要点击次数: 133 |
| 全文下载次数: 81 |
| 中文摘要: |
| 在端部随从力和黏弹性的共同作用下输流管道可能会表现出更加丰富的动力学特性,研究了端部随从力作用下黏弹性悬臂输流管道的稳定性。管道黏弹性采用Kelvin模型,以Bernoulli-Euler梁模型为基础,建立了流动流体和端部随从力共同作用下管道的运动微分方程,采用Galerkin法对其进行离散。利用特征值分析了端部随从力、黏弹性系数与质量比对系统失稳临界流速的影响。通过计算得到了不同参数下复频率实部、虚部随流速的变化曲线,分析了各参数对管道振动特性与稳定性的影响。结果表明:端部随从力作用下黏弹性悬臂输流管道的失稳方式为颤振失稳;端部随从力的大小和方向对系统失稳临界流速有较大影响,增大端部随从力,系统发生失稳的临界流速会减小;增大管道黏弹性系数,系统发生失稳的临界流速会略微增加;增大质量比,系统发生失稳的临界流速也随之增大。 |
| 英文摘要: |
| The fluid-conveying pipe might exhibit richer dynamics under the combined effect of end-following force and viscoelasticity. The stability of viscoelastic cantilever fluid-conveying pipe under the action of end-following force was investigated. The pipe viscoelasticity was modeled by Kelvin model, and the differential equation of motion of the pipe under the co-action of flowing fluid and end follower force are established on the basis of Bernoulli-Euler beam model, which were discretized by Galerkin method. The effects of end following force, viscoelastic coefficient and mass ratio on the unsteady critical velocity of system for instability were analyzed using eigenvalues. The variation curves of the real and imaginary parts of the complex frequency with the flow velocity under different parameters were given, and the effects of each parameter on the vibration characteristics and stability of the pipe were investigated. The results showed that:under the action of end following force, the instability mode of viscoelastic cantilever flow pipe was fluttering; the magnitude and direction of end follower force have a great influence on the critical velocity of system instability; with increasing end following force, the critical velocity of the system instability decreases; with increasing the pipe viscoelastic coefficient, the critical velocity of the system instability will increase slightly; with increasing the mass ratio, the critical velocity of the system instability will also be increased. |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| 关闭 |
|
|
|