Abstract
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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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).
Bolotin, V. V. (1963). Nonconservative problems of the theory of elastic stability. New York: Pergamon Press.
Panovko, Y. G., & Gubanova, I. I. (1965). Stability and oscillations of elastic systems (English translation, Foreword by W. Flügge). New York: Consultants Bureau.
Leipholz, H. (1980). Stability of elastic systems. Alphen aan den Rijn: Sijthoff & Noordhoff.
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.
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.
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.
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.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Sugiyama, Y., Langthjem, M.A., Katayama, K. (2019). Generalized Reut’s Column. In: Dynamic Stability of Columns under Nonconservative Forces. Solid Mechanics and Its Applications, vol 255. Springer, Cham. https://doi.org/10.1007/978-3-030-00572-6_9
Download citation
DOI: https://doi.org/10.1007/978-3-030-00572-6_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-00571-9
Online ISBN: 978-3-030-00572-6
eBook Packages: EngineeringEngineering (R0)