The investigation of the dynamic response of a shallow arch to harmonic forcing is undertaken. The method of harmonic balance, coupled with a continuation scheme, is used to determine the solutions for an entire range of externally applied loading. Floquet analysis provides the requisite stability i
NON-LINEAR DYNAMICS OF AN AIR FOIL FORCED TO OSCILLATE IN DYNAMIC STALL
β Scribed by S.J. Price; J.P. Keleris
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 544 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
The aeroelastic response of a NACA 0012 airfoil with freedom to move in pitch only, and forced to oscillate through dynamic stall in subsonic flow is simulated numerically using a finite difference method. The unsteady aerodynamic pitching moment is obtained via a semi-empirical dynamic stall model; comparison between the predicted pitching moment and experimental values is reasonable. It is demonstrated that the aerodynamic non-linearities associated with dynamic stall are sufficient to cause a chaotic response. Furthermore, it is suggested that there are at least two different routes to chaos depending on the ratio of the forcing frequency to the structural natural frequency. In the first case, where the forcing frequency is considerably higher than the structural natural frequency, the suggested route to chaos is via a period doubling cascade. For the second, where the frequency of the applied torque is approximately equal to the structural frequency, it is suggested that the response is intermittently chaotic.
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