Phase Plane Analysis for Nonlinear Oscillation of Bodies at High Angles of Attack
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.
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- 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
- 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
- 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
- 9.Oshima, Y.,Izutu, N., Oshima, K., and Kuwahara, K.: Autorotation of elliptic airfoil. AIAA Paper 83–0130, (1983).Google Scholar