Advertisement

Cantilevered Pipes Conveying Fluid

  • Yoshihiko SugiyamaEmail author
  • Mikael A. Langthjem
  • Kazuo Katayama
Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 255)

Abstract

As to the reality of a follower force in physical systems, it is said that an end thrust caused by a momentum flux discharged from the free end of a cantilevered pipe conveying fluid is a typical follower force. It is known that the pipe loses its stability by flutter. A cantilevered pipe conveying fluid is a nonconservative system that is applicable in practical uses and realizable in laboratories. Many papers have been published that deal with both theory and experiment.

References

  1. 1.
    Benjamin, T. B. (1961). Dynamics of a system of articulated pipes conveying fluid, I. Theory. Proceedings of the Royal Society of London, A, 261, 457–486.MathSciNetzbMATHGoogle Scholar
  2. 2.
    Benjamin, T. B. (1961). Dynamics of a system of articulated pipes conveying fluid, II. Experiments. Proceedings of the Royal Society of London, A, 261, 487–499.MathSciNetzbMATHGoogle Scholar
  3. 3.
    Sugiyama, Y., & Noda, T. (1981). Studies on stability of two-degree-of-freedom articulated pipes conveying fluid (Effect of an attached mass and damping). Bulletin of the Japan Society of Mechanical Engineers, 24(194), 1354–1362.CrossRefGoogle Scholar
  4. 4.
    Sugiyama, Y. (1984). Studies of two-degree-of freedom articulated pipes conveying fluid (The effect of a spring support and a lumped mass). Transactions of the Japan Society of Mechanical Engineers, A, 50(452), 687–693.CrossRefGoogle Scholar
  5. 5.
    Gregory, R. W., & Païdoussis, M. P. (1966). Unstable oscillation of tubular cantilevers conveying fluid, I. Theory. Proceedings of the Royal Society of London, A, 293, 512–527.CrossRefGoogle Scholar
  6. 6.
    Gregory, R. W., & Païdoussis, M. P. (1966). Unstable oscillation of tubular cantilevers conveying fluid, II. Experiments. Proceedings of the Royal Society of London, A, 293, 528–542.CrossRefGoogle Scholar
  7. 7.
    Bishop, R. E. D., & Fawzy, I. (1976). Free and forced oscillation of a vertical tube containing a flowing fluid. Philosophical Transactions of the Royal Society of London, 284, 1–47.CrossRefGoogle Scholar
  8. 8.
    Sällström, J. H. (1992). Fluid-conveying beams in transverse vibration. Doctoral Dissertation, Division of Solid Mechanics, Chalmers University of Technology.Google Scholar
  9. 9.
    Langthjem, M. A. (1996). Dynamics, stability and optimal design of structures with fluid interaction (Ph.D. Thesis). Department of Solid Mechanics, Technical University of Denmark (DTU) (Report No. S71).Google Scholar
  10. 10.
    Païdoussis, M. P. (1998). Fluid-structure interactions: Slender structures and axial flow (Vol. 1). New York: Academic Press.Google Scholar
  11. 11.
    Ibrahim, R. A. (2010). Overview of mechanics of pipes conveying fluid-part I: Fundamental studies. Journal of Pressure Vessel Technology, 132(03400), 1–25.Google Scholar
  12. 12.
    Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. (1992). Numerical recipes in Fortran (2nd ed.). Cambridge: Cambridge University Press.zbMATHGoogle Scholar
  13. 13.
    Seyranian, A. P. (1994). Collision of eigenvalues in linear oscillatory systems. Journal of Applied Mathematics and Mechanics, 58(5), 805–813.MathSciNetCrossRefGoogle Scholar
  14. 14.
    Seyranian, A. P., & Pedersen, P. (1995). On two effects in fluid/structure interaction theory. In P. W. Bearman & A. A. Balkema (Eds.), Proceedings of the 6th International Conference on Flow Induced Vibration, Rotterdam, pp. 565–576.Google Scholar
  15. 15.
    Semler, C., Alighanbari, H., & Païdoussis, M. P. (1998). A physical explanation of the destabilizing effect of damping. Journal of Applied Mechanics, 65, 642–648.CrossRefGoogle Scholar
  16. 16.
    Fawzy, I., & Bishop, R. E. D. (1976). On the dynamics of linear non-conservative systems. Proceedings of the Royal Society of London, A, 352, 25–40.MathSciNetCrossRefGoogle Scholar
  17. 17.
    Mladenov, K. A., & Sugiyama, Y. (1997). Stability of a jointed free-free beam under end rocket thrust. Journal of Sound and Vibration, 199(1), 1–15.CrossRefGoogle Scholar
  18. 18.
    Ryu, S.-U., Sugiyama, Y., & Ryu, B.-J. (2002). Eigenvalue branches and modes for flutter of cantilevered pipes conveying fluid. Computers & Structures, 80, 1231–1241.CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Yoshihiko Sugiyama
    • 1
    Email author
  • Mikael A. Langthjem
    • 2
  • Kazuo Katayama
    • 3
  1. 1.Small Spacecraft Systems Research Center, Osaka Prefecture UniversitySakaiJapan
  2. 2.Department of Mechanical Systems EngineeringYamagata UniversityYonezawaJapan
  3. 3.Daicel CorporationTatsunoJapan

Personalised recommendations