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2019 | OriginalPaper | Chapter

9. Generalized Reut’s Column

Authors : Yoshihiko Sugiyama, Mikael A. Langthjem, Kazuo Katayama

Published in: Dynamic Stability of Columns under Nonconservative Forces

Publisher: Springer International Publishing

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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.

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previous chapter Columns under a Follower Force with a Constant Line of Action
next chapter Columns under a Rocket-Based Follower Force
Literature
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).
2.
Bolotin, V. V. (1963). Nonconservative problems of the theory of elastic stability. New York: Pergamon Press.MATH
3.
Panovko, Y. G., & Gubanova, I. I. (1965). Stability and oscillations of elastic systems (English translation, Foreword by W. Flügge). New York: Consultants Bureau.
4.
Leipholz, H. (1980). Stability of elastic systems. Alphen aan den Rijn: Sijthoff & Noordhoff.MATH
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.
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.CrossRef
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.
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.CrossRef
Metadata
Title
Generalized Reut’s Column
Authors
Yoshihiko Sugiyama
Mikael A. Langthjem
Kazuo Katayama
Copyright Year
2019
Book
Dynamic Stability of Columns under Nonconservative Forces

Print ISBN: 978-3-030-00571-9

Electronic ISBN: 978-3-030-00572-6

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-00572-6_9

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