Airfoil motion in subsonic flow with strong cubic nonlinear restoring forces

B. H.K. Lee; L. Liu; K. W. Chung

doi:10.1016/j.jsv.2004.01.034

Airfoil motion in subsonic flow with strong cubic nonlinear restoring forces

B. H.K. Lee, L. Liu, K. W. Chung

Research output: Contribution to journal › Article › peer-review

Abstract

Limit cycle oscillations of a two-degree-of-freedom airfoil motion with cubic nonlinearity in the restoring forces are investigated. The harmonic balance method is used to derive a frequency relation that depends only on airfoil parameters. The amplitudes of the pitch and plunge motions can be computed from analytical expressions once the frequency is known. The method is extended to higher harmonics. Illustrative examples are given and the results are compared with numerical computations.

Original language	English
Pages (from-to)	699-717
Number of pages	19
Journal	Journal of Sound and Vibration
Volume	281
Issue number	3-5
DOIs	https://doi.org/10.1016/j.jsv.2004.01.034
State	Published - Mar 22 2005
Externally published	Yes

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10.1016/j.jsv.2004.01.034

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title = "Airfoil motion in subsonic flow with strong cubic nonlinear restoring forces",

abstract = "Limit cycle oscillations of a two-degree-of-freedom airfoil motion with cubic nonlinearity in the restoring forces are investigated. The harmonic balance method is used to derive a frequency relation that depends only on airfoil parameters. The amplitudes of the pitch and plunge motions can be computed from analytical expressions once the frequency is known. The method is extended to higher harmonics. Illustrative examples are given and the results are compared with numerical computations.",

author = "Lee, \{B. H.K.\} and L. Liu and Chung, \{K. W.\}",

year = "2005",

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AU - Lee, B. H.K.

AU - Liu, L.

AU - Chung, K. W.

PY - 2005/3/22

Y1 - 2005/3/22

N2 - Limit cycle oscillations of a two-degree-of-freedom airfoil motion with cubic nonlinearity in the restoring forces are investigated. The harmonic balance method is used to derive a frequency relation that depends only on airfoil parameters. The amplitudes of the pitch and plunge motions can be computed from analytical expressions once the frequency is known. The method is extended to higher harmonics. Illustrative examples are given and the results are compared with numerical computations.

AB - Limit cycle oscillations of a two-degree-of-freedom airfoil motion with cubic nonlinearity in the restoring forces are investigated. The harmonic balance method is used to derive a frequency relation that depends only on airfoil parameters. The amplitudes of the pitch and plunge motions can be computed from analytical expressions once the frequency is known. The method is extended to higher harmonics. Illustrative examples are given and the results are compared with numerical computations.

UR - https://www.scopus.com/pages/publications/13444274398

U2 - 10.1016/j.jsv.2004.01.034

DO - 10.1016/j.jsv.2004.01.034

M3 - Article

SN - 0022-460X

VL - 281

SP - 699

EP - 717

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 3-5

ER -

Airfoil motion in subsonic flow with strong cubic nonlinear restoring forces

Abstract

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