Analysis of Natural Frequency and Parameter Sensitivity for a Fluid-structure Interaction Pipe
-
摘要: 根据哈密顿原理推导出了输流管道的横向振动方程,采用伽辽金法对该方程进行离散获得了管道系统的频率方程,并求出了前4阶临界流速、临界压强以及临界简支长度的计算公式。分析了流速、液体压强和简支长度对固有频率以及压强、简支长度对临界流速的影响。最后进行了固有频率对流速、液体压强等参数的灵敏度分析。研究结果表明:1)与简支长度对固有频率的影响来比,流速、液体压强对固有频率的影响要小;2)固有频率对流速的1阶灵敏度要高于固有频率对液体压强的1阶灵敏度。Abstract: In this paper,the transverse vibration equation of a pipe conveying fluid was deduced by the Hamilton's principle.The frequency equation was obtained by Galerkin Method,and expressions of the first four critical flow velocity,pressure and length of simple support were given out.Then,influences of flow velocity,pressure,length of simple support on natural frequencies and flow velocity,pressure on the critical flow velocity were analyzed.Finally,the sensitivity analysis of natural frequencies to flow velocity and pressure was analyzed.The results show: 1) Comparing with influence of length of simple support on natural frequencies,influences of flow velocity,pressure on natural frequencies are smaller;2) the first sensitivity of flow velocity to natural frequencies is higher than the first sensitivity of pressure to natural frequencies.
-
Key words:
- fluid- structure interaction /
- sensitivity /
- natural frequency /
- critical flow velocity
-
[1] Paidoussis M P.Flow-induced instability of cylindrical structures[J]. Applied Mechanics Review,1987,40(2):163～l75 [2] Paidoussis M P.Pipes conveying fluid:a model dynamical prob-lem[J]. Journal of Fluids and Structures,1993,7:137～204 [3] 党锡淇,黄幼玲.工程中的管道振动问题[J]. 力学与实践,1993,15(4):12～15 [4] 杨晓东,金基铎.输流管道流-固耦合振动的固有频率分析[J]. 振动与冲击,2008,27(3):80～81 [5] 齐欢欢,徐鉴.Galerkin模态截断对计算悬臂输液管道固有频率的影响[J]. 振动与冲击,2011,30(1):148～151 [6] 黄益民,刘伟.充液管道模态的参数灵敏度及其共振可靠性分析[J]. 2010,29(1):193～195 [7] Qian Q,Wang L,Ni Q.Instability of simply supported pipes con-veying fluid under thermal loads[J]. Mechanics Research Com-munications,2009,36:413～417 [8] Long R H.Experimental and theoretical study of traverse vibrationof a tube containing flowing fluid[J]. Journal of Applied Me-chanics,1995,22(6):65～68 [9] 张立翔,黄文虎.输流管道非线性流固耦合振动的数学建模[J]. 水动力学研究与进展,2000,15(1):116～128 -
点击查看大图
计量
- 文章访问数: 109
- HTML全文浏览量: 16
- PDF下载量: 6
- 被引次数: 0
下载:
