A high dimensional harmonic balance approach for an aeroelastic airfoil with cubic restoring forces

Liping Liu; E. H. Dowell; J. P. Thomas

doi:10.1016/j.jfluidstructs.2006.09.005

A high dimensional harmonic balance approach for an aeroelastic airfoil with cubic restoring forces

Liping Liu
, E. H. Dowell
, J. P. Thomas

Mathematics and Statistics

University of Texas Pan American
Duke University

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

75 Scopus citations

Abstract

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 marching integration method. © 2006 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	351-363
Number of pages	13
Journal	Journal of Fluids and Structures
Volume	23
Issue number	3
DOIs	https://doi.org/10.1016/j.jfluidstructs.2006.09.005
State	Published - Apr 1 2007

Keywords

Airfoil
Cubic nonlinearity
High dimensional harmonic balance method
Limit cycle oscillations
Secondary bifurcation

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10.1016/j.jfluidstructs.2006.09.005

Cite this

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abstract = "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 marching integration method. {\textcopyright} 2006 Elsevier Ltd. All rights reserved.",

keywords = "Airfoil, Cubic nonlinearity, High dimensional harmonic balance method, Limit cycle oscillations, Secondary bifurcation",

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AU - Dowell, E. H.

AU - Thomas, J. P.

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N2 - 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 marching integration method. © 2006 Elsevier Ltd. All rights reserved.

AB - 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 marching integration method. © 2006 Elsevier Ltd. All rights reserved.

KW - Airfoil

KW - Cubic nonlinearity

KW - High dimensional harmonic balance method

KW - Limit cycle oscillations

KW - Secondary bifurcation

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JO - Journal of Fluids and Structures

JF - Journal of Fluids and Structures

IS - 3

ER -

A high dimensional harmonic balance approach for an aeroelastic airfoil with cubic restoring forces

Abstract

Keywords

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