输送流体管道的固—液耦合动力学研究

王世忠; 刘玉兰; 黄文虎

输送流体管道的固—液耦合动力学研究

哈尔滨工业大学航天学院, 哈尔滨 150001

详细信息

中图分类号: O353
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出版历程
- 收稿日期: 1997-10-11
- 刊出日期: 1998-11-15

Research on Solid-Liquid Coupling Dynamics of Pipe Conveying Fluid

Astronautics College Harbin Institute of Technology, Harbin 150001, P. R. China

摘要

摘要: 根据Hamilton原理推导输送流体管道固-液耦合振动方程,得到反对称的固-液耦合阻尼矩阵和对称的固-液耦合刚度矩阵；用QR法计算管道固有频率,给出了管道前4阶固有频率-流速曲线；讨论了流体的流速、压强变化以及固-液耦合阻尼和固-液耦合刚度对管道固有频率的影响；用Newmark法计算不同流速时管道对阶跃载荷的动力响应；发现了各阶固有频率都有随流速的提高而降低、再提高、再降低的周而复始现象.
- 有限元法 /
- 输送流体管道 /
- 固—液耦合振动
Abstract: On the basis of Hamilton princlple, the equation of solid-liquid coupling vibration of pipe conveying fluid is deduced. An asymmetrical solid-liquid coupling damp matrix and a symmetrical solid-liquid coupling stiffness matrix are obtained. Using QR method, pipe's nature frequencies are calaculated. The curves of the first four orders of natural frequency-flow velocity of pipe waw given. The influence of flowing velocity, pressure, solid-liquid coupling damp and solid-liquid coupling stiffness on natural frequency are discussed respectively. The dynamic respondence of the pipes for step-load with different flow velocity are calculated by Newmark method. It is found that, with the flow velocity increased, the nature frequency of the pipes reduced, increased, reduced again and so on.
- finite element method /
- pipe conveying fluid /
- solid-fluid coupling vibration

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参考文献(13)

[1]	G.W.Housner,Bending vibration of a pipe line containing flowing fluid,J.Appl.Mech.,19(6)(1952),205-208.
[2]	V.Y.Feodosiev,The vibration and stability of pipe conveying fluid,Han dbook of Engineers,10(3)(1951).(in Russian)
[3]	R.H.L ong,Experimental and theoretical study of Tranverse vibration of a tube containing flowing fluid,J.Appl.Mech.,22(6)(1955),65-68.
[4]	R.W.Gregory and M.P.Paidoussis,Unstable oscillation of Tubular cantilevers conveying fluid-Theory,Proc.,Roy.Soc.,London,Ser.A293(5)(1966),512-527.
[5]	T.B.Benjamin,Dunamics of system of articulated pipes conveying fluid-Ⅱ Experiments,Proc.Roy.Soc.,London,Ser.A 261(5)(1961),457-499.
[6]	J.L.Hill and C.P.Swanson,Effects of lumped masses on the stability of fluid conveying tubes,J.Appl.Mech.,37(4)(1970),494-497.
[7]	A.K.Bajaj,Hopf bifurcation phenomena in pipes carrying fluid,J.Appl.Mech.,47(5)(1980),213-230.
[8]	D.M.Tang and E.H.Dowell,Chaotic oscillations of a cantilevered pipe conveying fluid,J.Fluids and Structures,2(3)(1988),263-283.
[9]	M.P.Paidoussis,G.X.Li and R.H.Rand,Chaotic motion of a constrained pipe conveying fluid comparsion between simulation,anaylsys and experiment,J.Appl.Mech.,58(4)(1991),559-566.
[10]	张悉德、杜涛等,输送流体管道 Housner 方程的修正,应用数学和力学,14(2)(1993),147-149.
[11]	王本利、王世忠等,用有限元法分析导管固液耦合振动,哈尔滨工业大学学报,16(2)(1984),8-14.
[12]	王世忠、王茹,三维管道固液耦合振动分析,哈尔滨工业大学学报,24(4)(1992),43-49.
[13]	G.X.Li and M.P.Paidoussis,Stability double degeneracy and chaos in catilevered pipes conveying fluid,International Journal of Non linear Mechanics,29(1)(1994),83-99.