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

Liping Liu; Earl H. Dowell; Jeffrey P. Thomas

doi:10.2514/6.2005-1918

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

Liping Liu
, Earl H. Dowell
, Jeffrey P. Thomas

Mathematics and Statistics

University of Texas Pan American
AIAA
Duke University
School of Engineering

Research output: Contribution to journal › Conference article › peer-review

19 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 inarching integration method.

Original language	English
Pages (from-to)	1467-1476
Number of pages	10
Journal	Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Volume	3
DOIs	https://doi.org/10.2514/6.2005-1918
State	Published - Jan 1 2005
Event	46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference - Austin, TX, United States Duration: Apr 18 2005 → Apr 21 2005

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10.2514/6.2005-1918

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

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 inarching integration method.",

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year = "2005",

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note = "46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference ; Conference date: 18-04-2005 Through 21-04-2005",

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Higher order harmonic balance analysis for limit cycle oscillations in an airfoil with cubic restoring forces. / Liu, Liping; Dowell, Earl H.; Thomas, Jeffrey P.
In: Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Vol. 3, 01.01.2005, p. 1467-1476.

Research output: Contribution to journal › Conference article › peer-review

TY - JOUR

T1 - Higher order harmonic balance analysis for limit cycle oscillations in an airfoil with cubic restoring forces

AU - Liu, Liping

AU - Dowell, Earl H.

AU - Thomas, Jeffrey P.

PY - 2005/1/1

Y1 - 2005/1/1

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 inarching integration method.

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 inarching integration method.

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

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

T2 - 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Y2 - 18 April 2005 through 21 April 2005

ER -

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

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