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Harmonic balance approach for an airfoil with a freeplay control surface

Publication ,  Journal Article
Liu, L; Dowell, EH
Published in: AIAA Journal
January 1, 2005

The nonlinear aeroelastic response of a two-dimensional airfoil, including a control surface with freeplay placed in an incompressible flow, is studied. The model equations are formulated as a set of first-order ordinary differential equations. First, the dynamic response is investigated by a time integration method, and the time integration results are used for the verification of the harmonic balance results. The interesting hysteresis phenomenon and the effect of initial conditions of the subcritical bifurcation are presented. A higher-order harmonic balance method is then derived to investigate the high harmonics of the airfoil motions. The harmonic balance prediction is verified by comparison to the results from a numerical time marching integration and also by comparison to results from a previous experiment. Copyright © 2004 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.

Duke Scholars

Published In

AIAA Journal

DOI

ISSN

0001-1452

Publication Date

January 1, 2005

Volume

43

Issue

4

Start / End Page

802 / 815

Related Subject Headings

  • Aerospace & Aeronautics
  • 4012 Fluid mechanics and thermal engineering
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering
 

Citation

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Liu, L., & Dowell, E. H. (2005). Harmonic balance approach for an airfoil with a freeplay control surface. AIAA Journal, 43(4), 802–815. https://doi.org/10.2514/1.10973
Liu, L., and E. H. Dowell. “Harmonic balance approach for an airfoil with a freeplay control surface.” AIAA Journal 43, no. 4 (January 1, 2005): 802–15. https://doi.org/10.2514/1.10973.
Liu L, Dowell EH. Harmonic balance approach for an airfoil with a freeplay control surface. AIAA Journal. 2005 Jan 1;43(4):802–15.
Liu, L., and E. H. Dowell. “Harmonic balance approach for an airfoil with a freeplay control surface.” AIAA Journal, vol. 43, no. 4, Jan. 2005, pp. 802–15. Scopus, doi:10.2514/1.10973.
Liu L, Dowell EH. Harmonic balance approach for an airfoil with a freeplay control surface. AIAA Journal. 2005 Jan 1;43(4):802–815.
Journal cover image

Published In

AIAA Journal

DOI

ISSN

0001-1452

Publication Date

January 1, 2005

Volume

43

Issue

4

Start / End Page

802 / 815

Related Subject Headings

  • Aerospace & Aeronautics
  • 4012 Fluid mechanics and thermal engineering
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering