Generalized Reut’s Column

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


This chapter discusses a generalized Reut’s column, one of the models in the nonconservative problems of structural stability, showing that a mechanical model of the column is realizable in laboratories. A method for realizing the Reut force with a constant line of action, and a generalized Reut force as well, is proposed. The force is produced by an impinging air-jet method. Some experiments with columns under forces with different magnitudes of nonconservativeness are presented. It is experimentally shown that the column under this type of force loses stability by divergence and flutter, depending on the magnitude of nonconservativeness of the applied force.


  1. 1.
    Reut, V. I. (1939). On the theory of elastic stability. Transaction of the Odessa Institute of Civil and Communal Construction Engineers, No. 1 (in Russian).Google Scholar
  2. 2.
    Bolotin, V. V. (1963). Nonconservative problems of the theory of elastic stability. New York: Pergamon Press.zbMATHGoogle Scholar
  3. 3.
    Panovko, Y. G., & Gubanova, I. I. (1965). Stability and oscillations of elastic systems (English translation, Foreword by W. Flügge). New York: Consultants Bureau.Google Scholar
  4. 4.
    Leipholz, H. (1980). Stability of elastic systems. Alphen aan den Rijn: Sijthoff & Noordhoff.zbMATHGoogle Scholar
  5. 5.
    Herrmann, G., Nemat-Nasser, S., & Prasad, S. N. (1966). Models demonstrating instability of nonconservative mechanical systems, Technical Report No. 66–4, National Aeronautics and Space Administration.Google Scholar
  6. 6.
    Feldt, W. T., Nemat-Nasser, S., Prasad, S. N., & Herrmann, G. (1969). Instability of a mechanical system induced by an impinging fluid jet. Journal of Applied Mechanics, 37, 693–701.CrossRefGoogle Scholar
  7. 7.
    Sugiyama, Y., Katayama, T., Ryu, B.-J. (1992). Vibration and stability of columns under nonconservative forces realized by an impinging jet. In Proceedings of Dynamics & Design Conference, the Japan Society of Mechanical Engineers (pp. 920–55(II)), Niseko/Hokkaido, Paper No. 370W.Google Scholar
  8. 8.
    Sugiyama, Y., Katayama, T., Yoshimura, T., & Kawagoe, H. (1991). Stability of Reut’s column having a damper. Transactions of the Japan Society of Mechanical Engineers, 57(537), 1575–1579.CrossRefGoogle Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

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

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