Wang Shizhong, Liu Yulan, Huang Wenhu. Research on Solid-Liquid Coupling Dynamics of Pipe Conveying Fluid[J]. Applied Mathematics and Mechanics, 1998, 19(11): 986-993.
Citation: Wang Shizhong, Liu Yulan, Huang Wenhu. Research on Solid-Liquid Coupling Dynamics of Pipe Conveying Fluid[J]. Applied Mathematics and Mechanics, 1998, 19(11): 986-993.

Research on Solid-Liquid Coupling Dynamics of Pipe Conveying Fluid

  • Received Date: 1997-10-11
  • Publish Date: 1998-11-15
  • 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.
  • loading
  • [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.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2114) PDF downloads(863) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return