Skip to main content

Experimental Approach to Nonconservative Stability Problems

  • Chapter
Modern Problems of Structural Stability

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 436))

Abstract

The intended aim of this part is to give some experimental supports to nonconservative stability problems. Chapter 1 describes the state of art of dynamic stability of elastic systems subjected to nonconservative follower forces. Experimental works are specially emphasized. Chapter 2 is concerned with flutter of cantilevered pipes conveying fluid. The combined effect of a spring support and a lumped mass on stability of a tubular cantilever conveying fluid is discussed. It is shown theoretically and experimentally that for particular combinations of a spring support and a lumped mass, there exists a flutter peninsula, which juts out locally from the main flutter region. Chapter 3 aims at showing experimental verifications of the reality of follower force. Three experiments are presented on dynamic stability of cantilevered columns subjected to a follower force produced by a solid rocket motor. The first experiment shows that a horizontal cantilevered column subjected to a rocket thrust loses its stability by flutter. The second experiment gives an experimental support to the effect of an attached lumped mass on flutter of horizontal cantilevered column. The third experiment demonstrates the reality of sub-tangential follower force. Chapter 4 discusses the effect of damping configuration on flutter of two-degree-of-freedom mechanical models subjected to a Reut-type nonconservative force. The nonconservative force was produced by an impinging air jet. Damping due to an attached dash-pot is taken into account, as well as internal and external damping. Chapter 5 describes the general concluding remarks. In Appendix are shown some photographs of experiments on dynamic stability of cantilevered columns subjected to a rocket thrust.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Beck, M. (1952). Die Knicklast des einseitig eingespannten, tangential gedrückten Stabes. Zeitschrift fir Angewandte Mathematik and Mechanik 3: 225–228.

    MATH  Google Scholar 

  • Bisplinghoff, R. L., Ashley, H., and Halfman, R.L. (1955). Aeroelasticity. Cambridge, Mass.: Addison-Wesley Publishing Co.

    MATH  Google Scholar 

  • Bolotin, V. V. (1963). Nonconservative problems of the theory of elastic stability. New York: Pergamon Press.

    MATH  Google Scholar 

  • Beal, T. R. (1965). Dynamics stability of a flexible missile under the constant and pulsating thrust. AIAA Journal 3: 486–494.

    Article  Google Scholar 

  • Feodosiev V. I. (1965). On a problem of stability (in Russian). Prikladnaya Matematika I Mekhanika, 29: 391–392.

    Google Scholar 

  • Herrmann, G., Nemat-Nasser, S. and Prasad, S. N. (1966). Models demonstrating instability of nonconservative mechanical systems. Technical Report No. 66–4, Department of Civil Engineering, Structural Mechanics Laboratory, Northwestern University.

    Google Scholar 

  • Koiter, W. T. (1996). Unrealistic follower forces. Journal of Sound and Vibration 194: 636–638.

    Article  Google Scholar 

  • Leipholz, H. (1980). Stability of elastic systems. Alphen aan den Rijn, The Netherlands, Sijthoff & Noordohoff.

    Google Scholar 

  • Langthjem, M. A. and Sugiyama, Y. (2000). Dynamic stability of columns subjected to follower loads: A survey. Journal of Sound and Vibration 238: 809–851.

    Article  Google Scholar 

  • Mottershead, J. E., and Chan, S. N. (1995). Flutter instability of circular discs with frictional follower loads. Transactions of the ASME, Journal of Vibration and Acoustics 117: 161–163.

    Article  Google Scholar 

  • Mladenov, K. A. and Sugiyama, Y. (1997). Stability of a jointed free-free beam under end rocket thrust. Journal of Sound and Vibration 199: 1–15.

    Article  Google Scholar 

  • Nishiwaki, M. (1993). Generalized theory of brake noise. In Proceedings of the Institution of Mechanical Engineers 207: 195–202.

    Google Scholar 

  • Paidoussis, M. P., and Li, G. X. (1993). Pipes conveying fluid: A model dynamical problems. Journal of Fluids and Structures 7: 137–204.

    Article  Google Scholar 

  • Paidoussis, M. P. (1998). Fluid-Structure Interactions; Slender Structures and Axial Flow Volume 1. New York, Academic Press.

    Google Scholar 

  • Panovko, Ya. G., and Gubanova, I. I. (1965). Stability and Oscillations of Elastic Systems, Paradoxes, Fallacies, and New Concept. New York, Consultants Bureau Enterprises, Inc. (see page 63 ).

    Google Scholar 

  • Ryu, B.-J., Katayama, K., and Sugiyama, Y. (1998). Dynamic stability of Timoshenko columns subjected to subtangential forces. Computers and Structures 68: 499–512.

    Article  MATH  Google Scholar 

  • Sugiyama, Y., and Sekiya, T. (1971). Surveys of the experimental studies of instability of the elastic systems subjected to nonconservative forces (in Japanese). Journal of the Japan Society for Aeronautical and Space Sciences 19: 61–68.

    Article  Google Scholar 

  • Sugiyama, Y., Kashima, K., and Kawagoe, H. (1976). On an unduly simplified model in the non-conservative problem of elastic stability. Journal of Sound and Vibration 45: 237–247.

    Article  MATH  Google Scholar 

  • Sugiyama, Y., Tanaka, Y., Kishi, T., and Kawagoe, H. (1985). Effect of a spring support on the stability of pipes conveying fluid. Journal of Sound and Vibration 100: 257–270.

    Article  Google Scholar 

  • Sugiyama, Y. (1987). Experiment on nonconservative problem of elastic stability. ESP 24 . 87035, In 24th Annual Technical Meeting,Society of Engineering Sciences, University of Utah, Salt Lake City, USA.

    Google Scholar 

  • Sugiyama, Y., Katayama, K., and Kinoi, S. (1995). Flutter of cantilevered column under rocket thrust. Journal of Aerospace Engineering, The American Society of Civil Engineers 8: 9–15.

    Google Scholar 

  • Sugiyama, Y., Matsuike, J., Ryu, B.-J., Katayama, K., Kinoi, S., and Enomoto, N. (1995). Effect of concentrated mass on stability of cantilevers under rocket thrust. AIAA Journal 33: 499–503, see also 1996 AIAA Journal 34: 212.

    Article  Google Scholar 

  • Sugiyama, Y., Katayama, T., Kanki, E., Chiba, M., Shiraki, K., and Fujita, K. (1996). Stability of vertical fluid-conveying pipes having the lower end immersed in fluid. JSME International Journal 39: 5765.

    Google Scholar 

  • Sugiyama, Y., Langhtjem, M. A., and Ryu, B.-J. (1999). Realistic follower forces. Journal of Sound and Vibration 225: 779–782.

    Article  Google Scholar 

  • Sugiyama, Y., Katayama, K., Kiriyama, K., and Ryu, B.-J. (2000). Experimental verification of dynamic stability of vertical cantilevered columns subjected to a sub-tangential force. Journal of Sound and Vibration 236: 193–207.

    Article  Google Scholar 

  • Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability. New York: McGraw-Hill Book Co.

    Google Scholar 

  • Yagn, Yu. I., and Parshin, L. K. (1966). Experimental study of stability of a column loaded by follower force. Doklady Academy Nauk 167: 49–50.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Wien

About this chapter

Cite this chapter

Sugiyama, Y. (2002). Experimental Approach to Nonconservative Stability Problems. In: Seyranian, A.P., Elishakoff, I. (eds) Modern Problems of Structural Stability. International Centre for Mechanical Sciences, vol 436. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2560-1_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-2560-1_7

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83697-2

  • Online ISBN: 978-3-7091-2560-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics