Skip to main content
SpringerLink
Log in

Phase Plane Analysis for Nonlinear Oscillation of Bodies at High Angles of Attack

  • Conference paper
Fluid Dynamics of High Angle of Attack

Summary

A phase plane analysis is successfully applied to nonlinear angular oscillation and rotation of two-dimensional bodies at high angles of attack to obtain the analytical expression of the moment acting on the bodies in unsteady free rotation tests. The analytical expression of the moment is useful to investigate the energy exchange between the bodies and flow. By integration it reproduces angular motions close to those observed in wind tunnel tests. In the following article the method and results are explained for the autorotation of two-dimensional bodies in a wind tunnel by a free-rotation method at Reω~.3.5 × l04.

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

Access this chapter

Log in via an institution
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

  1. Smith,A. M. O: On the motion of a tumbling body.J.A.S., Vol. 29, (1953) 73–84.

    Google Scholar 

  2. Bustemante, A. C., and Stone, C. W.: The autorotation characteristics of various shapes for subsonic and hypersonic flows. AIAA 69–132, (1969).

    Google Scholar 

  3. Smith, E. H.: Autorotating wings. J. F. M., Vol. 50, (1971) 513–534.

    Article  Google Scholar 

  4. Smith, L. H. and Nunn, R. H.: Aerodynamic characteristics of axisymmetric body undergoing a uniform pitching motion. J.A.S.,Vol. 13, (1976) 8–14.

    Google Scholar 

  5. Iversen, J.D.: Autorotating flat-plate wings: The effect of the moment of inertia, geometry and Reynolds number. J. F. M., Vol. 92, (1979) 327–348.

    Article  Google Scholar 

  6. Lugt, H. J. and Ohring, S.: J. F. M., Vol.79, Part 1, (1977) 127–156.

    Google Scholar 

  7. Lugt, H. J., J. F. M., Vol.99, Part 4, (1980) 817–840.

    Google Scholar 

  8. Ishida, Y, Trans. of Japan Society for Aero. and Space Sciences,Vol. 25, No. 68, pp. 114–125, 1982.

    MathSciNet  Google Scholar 

  9. Oshima, Y.,Izutu, N., Oshima, K., and Kuwahara, K.: Autorotation of elliptic airfoil. AIAA Paper 83–0130, (1983).

    Google Scholar 

  10. Lugt, H. J.: Autorotation, Ann. Rev. Fluid Mech. 15 (1983) 123–147.

    Article  Google Scholar 

  11. Yoshinaga, T., Inoue, K. and Tate, A.: Determination of the pitching characteristics of tumbling bodies by the free-rotation method. J. Spacecraft and Rockets, Vol. 21, No. 1, (1984) 21–28.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Aerodynamics Division, National Aerospace Laboratory, Tokyo, Japan

    T. Yoshinaga & A. Tate

  2. Department of Electrical and Electronics Engineering, Fukui University, Fukui, Japan

    K. Inoue

Authors
  1. T. Yoshinaga
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Tate
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. K. Inoue
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Dept. of Aeronautics Faculty of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku Tokyo 113, Japan

    R. Kawamura  & Y. Aihara  & 

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yoshinaga, T., Tate, A., Inoue, K. (1993). Phase Plane Analysis for Nonlinear Oscillation of Bodies at High Angles of Attack. In: Kawamura, R., Aihara, Y. (eds) Fluid Dynamics of High Angle of Attack. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52460-8_21

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-52460-8_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-52462-2

  • Online ISBN: 978-3-642-52460-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation