Prediction of limit cycle oscillations under uncertainty using a Harmonic Balance method

Richard Hayes; Simão P. Marques

doi:10.1016/j.compstruc.2014.10.010

Prediction of limit cycle oscillations under uncertainty using a Harmonic Balance method

Richard Hayes, Simão P. Marques

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

13 Citations (Scopus)

437 Downloads (Pure)

Abstract

The Harmonic Balance method is an attractive solution for computing periodic responses and can be an alternative to time domain methods, at a reduced computational cost. The current paper investigates using a Harmonic Balance method for simulating limit cycle oscillations under uncertainty. The Harmonic Balance method is used in conjunction with a non-intrusive polynomial-chaos approach to propagate variability and is validated against Monte Carlo analysis. Results show the potential of the approach for a range of nonlinear dynamical systems, including a full wing configuration exhibiting supercritical and subcritical bifurcations, at a fraction of the cost of performing time domain simulations.

Original language	English
Pages (from-to)	1-13
Journal	Computers & Structures
Volume	148
Early online date	21 Nov 2014
DOIs	https://doi.org/10.1016/j.compstruc.2014.10.010
Publication status	Published - Feb 2015

Keywords

Aeroelasticity
Harmonic Balance
Limit Cycle Oscillations
Uncertainty
nonlinear
Bifurcation

ASJC Scopus subject areas

Engineering(all)
Aerospace Engineering
Computational Mechanics

Access to Document

10.1016/j.compstruc.2014.10.010

Prediction of limit cycle oscillations under uncertainty using a Harmonic Balance method
This is the author’s version of a work that was accepted for publication in Computers & Structures. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computers & Structures, Volume 148, February 2015, doi:10.1016/j.compstruc.2014.10.010
Accepted author manuscript, 1.31 MB

13 Citations
1 Article

Prediction of Transonic Limit-Cycle Oscillations Using an Aeroelastic Harmonic Balance Method
Yao, W. & Marques, S., Jul 2015, In: AIAA Journal. 53, 7, p. 2040-2051 12 p.
Research output: Contribution to journal › Article › peer-review

Open Access
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35 Citations (Scopus)

375 Downloads (Pure)

Cite this

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title = "Prediction of limit cycle oscillations under uncertainty using a Harmonic Balance method",

abstract = "The Harmonic Balance method is an attractive solution for computing periodic responses and can be an alternative to time domain methods, at a reduced computational cost. The current paper investigates using a Harmonic Balance method for simulating limit cycle oscillations under uncertainty. The Harmonic Balance method is used in conjunction with a non-intrusive polynomial-chaos approach to propagate variability and is validated against Monte Carlo analysis. Results show the potential of the approach for a range of nonlinear dynamical systems, including a full wing configuration exhibiting supercritical and subcritical bifurcations, at a fraction of the cost of performing time domain simulations.",

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AU - Marques, Simão P.

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AB - The Harmonic Balance method is an attractive solution for computing periodic responses and can be an alternative to time domain methods, at a reduced computational cost. The current paper investigates using a Harmonic Balance method for simulating limit cycle oscillations under uncertainty. The Harmonic Balance method is used in conjunction with a non-intrusive polynomial-chaos approach to propagate variability and is validated against Monte Carlo analysis. Results show the potential of the approach for a range of nonlinear dynamical systems, including a full wing configuration exhibiting supercritical and subcritical bifurcations, at a fraction of the cost of performing time domain simulations.

KW - Aeroelasticity

KW - Harmonic Balance

KW - Limit Cycle Oscillations

KW - Uncertainty

KW - nonlinear

KW - Bifurcation

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DO - 10.1016/j.compstruc.2014.10.010

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JO - Computers & Structures

JF - Computers & Structures

SN - 0045-7949

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Prediction of limit cycle oscillations under uncertainty using a Harmonic Balance method

Abstract

Keywords

ASJC Scopus subject areas

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Research output

Prediction of Transonic Limit-Cycle Oscillations Using an Aeroelastic Harmonic Balance Method

Cite this