Modeling Limit Cycle Oscillation Behavior of the F-16 Fighter Using a Harmonic Balance Approach

Thomas, Jeffrey P.; Dowell, Earl H.; Hall, Kenneth C.; Denegri, Charles M.

doi:10.2514/6.2004-1696

Cited by 36 publications

(32 citation statements)

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“…A completely different approach to computational modeling of dynamic aeroelastic phenomena is the harmonic balance method [69]. The harmonic balance method solves the governing fluid dynamic equations using temporal Fourier transforms coupled with a steady state CFD solver.…”

Section: Time Advancement Schemesmentioning

confidence: 99%

“…Only several structural modes are considered, and the fluid response (which may be nonlinear) is determined by solution in the frequency domain by solving for the driving frequency and up to several harmonics. Thomas et al [69] have shown how an aeroelastic analysis may be performed by providing a desired aero-structural mode response amplitude as an input, then solving for the associated Mach number, altitude, primary mode frequency, and other mode response amplitudes as unknowns using an iterative method. The computational efficiency is enhanced by use of a simplified pitch/plunge airfoil model and by applying the harmonic balance method to compute the required fluid responses.…”

Section: Applicationsmentioning

confidence: 99%

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Methods for simulation-based analysis of fluid-structure interaction.

Barone¹,

Payne²

2005

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Methods for analysis of fluid-structure interaction using high fidelity simulations are critically reviewed. First, a literature review of modern numerical techniques for simulation of aeroelastic phenomena is presented. The review focuses on methods contained within the arbitrary Lagrangian-Eulerian (ALE) framework for coupling computational fluid dynamics codes to computational structural mechanics codes. The review treats mesh movement algorithms, the role of the geometric conservation law, time advancement schemes, wetted surface interface strategies, and some representative applications. The complexity and computational expense of coupled NavierStokes/structural dynamics simulations points to the need for reduced order modeling to facilitate parametric analysis. The proper orthogonal decomposition (POD)/Galerkin projection approach for building a reduced order model (ROM) is presented, along with ideas for extension of the methodology to allow construction of ROMs based on data generated from ALE simulations.3

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Section: Time Advancement Schemesmentioning

confidence: 99%

Section: Applicationsmentioning

confidence: 99%

Methods for simulation-based analysis of fluid-structure interaction.

Barone¹,

Payne²

2005

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“…When nonlinearities are present, the amplitude of oscillations can become limited and limit cycle oscillations are observed. This is a problem of considerable practical interest and is well documented for in-service aircraft [5,6]. When nonlinearities are de-stabilizing (softening) a subcritical limit-cycle exists.…”

Section: Introductionmentioning

confidence: 99%

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

Hayes

Marques

2015

Computers & Structures

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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 nonintrusive 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. Prediction of Limit Cycle Oscillations under Uncertainty using a Harmonic Balance MethodRichard Hayes, Simão P. Marques 1, School of Mechanical and Aerospace EngineeringQueen's University Belfast, Belfast, UK, BT9 5AH AbstractThe 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 nonintrusive 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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“…As far as the authors are aware, only the method proposed by Thomas et al [5] has been able to predict LCOs for fixed wing aircraft using a CFD based HB formulation. This paper presents an alternative method to compute nonlinear aeroelastic instabilities (LCOs) using a coupled CFD-CSD HB formulation.…”

mentioning

confidence: 99%

“…When nonlinearities are present, aeroelastic instabilities can lead to oscillations that become limited and LCOs are observed. This is a problem of considerable practical interest and is well documented for in-service aircraft [4,5].…”

mentioning

confidence: 99%