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Higher order harmonic balance analysis for limit cycle oscillations in an airfoil with cubic restoring forces

Publication ,  Journal Article
Liu, L; Dowell, EH; Thomas, JP
Published in: Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
January 1, 2005

This is a study of a two dimensional airfoil including a cubic spring stiffness placed in an incompressible flow. A new formulation of the harmonic balance method is employed for the aeroelastic airfoil to investigate the amplitude and frequency of the limit cycle oscillations. The results are compared with the results from the classical harmonic balance approach and from the conventional time inarching integration method.

Duke Scholars

Published In

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

DOI

ISSN

0273-4508

Publication Date

January 1, 2005

Volume

3

Start / End Page

1467 / 1476
 

Citation

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Liu, L., Dowell, E. H., & Thomas, J. P. (2005). Higher order harmonic balance analysis for limit cycle oscillations in an airfoil with cubic restoring forces. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, 3, 1467–1476. https://doi.org/10.2514/6.2005-1918
Liu, L., E. H. Dowell, and J. P. Thomas. “Higher order harmonic balance analysis for limit cycle oscillations in an airfoil with cubic restoring forces.” Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 3 (January 1, 2005): 1467–76. https://doi.org/10.2514/6.2005-1918.
Liu L, Dowell EH, Thomas JP. Higher order harmonic balance analysis for limit cycle oscillations in an airfoil with cubic restoring forces. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2005 Jan 1;3:1467–76.
Liu, L., et al. “Higher order harmonic balance analysis for limit cycle oscillations in an airfoil with cubic restoring forces.” Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, vol. 3, Jan. 2005, pp. 1467–76. Scopus, doi:10.2514/6.2005-1918.
Liu L, Dowell EH, Thomas JP. Higher order harmonic balance analysis for limit cycle oscillations in an airfoil with cubic restoring forces. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2005 Jan 1;3:1467–1476.

Published In

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

DOI

ISSN

0273-4508

Publication Date

January 1, 2005

Volume

3

Start / End Page

1467 / 1476