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Linear frequency domain and harmonic balance predictions of dynamic derivatives

Linear frequency domain and harmonic balance predictions of dynamic derivatives
Linear frequency domain and harmonic balance predictions of dynamic derivatives
Dynamic derivatives are used to represent the influence of the aircraft motion rates on the aerodynamic forces and moments needed for studies of flight dynamics. The use of computational fluid dynamics has potential to supplement costly wind-tunnel testing. The paper considers the problem of the fast computation of forced periodic motions using the Euler equations. Three methods are evaluated. The first is computation in the time domain, which provides the benchmark solution in the sense that the time-accurate solution is obtained. Two acceleration techniques in the frequency domain are compared. The first uses a harmonic solution of the linearized problem, referred to as the linear frequency-domain approach. The second uses the harmonic balance method, which approximates the nonlinear problem using a number of Fourier modes. These approaches are compared for the ability to predict dynamic derivatives and for computational cost. The NACA 0012 aerofoil and the DLR-F12 passenger jet wind-tunnel model are the test cases. Compared to time-domain simulations, an order of magnitude reduction in computational costs is achieved and satisfactory predictions are obtained for cases with a narrow frequency spectrum and moderate amplitudes using the frequency-domain methods.
0021-8669
694-707
Da Ronch, A.
a2f36b97-b881-44e9-8a78-dd76fdf82f1a
McCracken, A.
e799c540-89ac-48df-9260-3c5a68761cfb
Badcock, K.J.
f7ae5be8-8140-4e46-81f8-8d1021fd989f
Widhalm, M.
e4813d03-1e0d-41b6-a46e-70e5d4cdebc8
Campobasso, M.S.
24f162ac-6bab-432e-b643-74fab8f9d4a5
Da Ronch, A.
a2f36b97-b881-44e9-8a78-dd76fdf82f1a
McCracken, A.
e799c540-89ac-48df-9260-3c5a68761cfb
Badcock, K.J.
f7ae5be8-8140-4e46-81f8-8d1021fd989f
Widhalm, M.
e4813d03-1e0d-41b6-a46e-70e5d4cdebc8
Campobasso, M.S.
24f162ac-6bab-432e-b643-74fab8f9d4a5

Da Ronch, A., McCracken, A., Badcock, K.J., Widhalm, M. and Campobasso, M.S. (2013) Linear frequency domain and harmonic balance predictions of dynamic derivatives. Journal of Aircraft, 50 (3), 694-707. (doi:10.2514/1.C031674).

Record type: Article

Abstract

Dynamic derivatives are used to represent the influence of the aircraft motion rates on the aerodynamic forces and moments needed for studies of flight dynamics. The use of computational fluid dynamics has potential to supplement costly wind-tunnel testing. The paper considers the problem of the fast computation of forced periodic motions using the Euler equations. Three methods are evaluated. The first is computation in the time domain, which provides the benchmark solution in the sense that the time-accurate solution is obtained. Two acceleration techniques in the frequency domain are compared. The first uses a harmonic solution of the linearized problem, referred to as the linear frequency-domain approach. The second uses the harmonic balance method, which approximates the nonlinear problem using a number of Fourier modes. These approaches are compared for the ability to predict dynamic derivatives and for computational cost. The NACA 0012 aerofoil and the DLR-F12 passenger jet wind-tunnel model are the test cases. Compared to time-domain simulations, an order of magnitude reduction in computational costs is achieved and satisfactory predictions are obtained for cases with a narrow frequency spectrum and moderate amplitudes using the frequency-domain methods.

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More information

Published date: May 2013
Organisations: Aerodynamics & Flight Mechanics Group

Identifiers

Local EPrints ID: 353426
URI: http://eprints.soton.ac.uk/id/eprint/353426
ISSN: 0021-8669
PURE UUID: 92808557-ff0f-4f4d-a64b-94a492d3f58f

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Date deposited: 06 Jun 2013 13:19
Last modified: 09 Nov 2021 00:01

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Contributors

Author: A. Da Ronch
Author: A. McCracken
Author: K.J. Badcock
Author: M. Widhalm
Author: M.S. Campobasso

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