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• W2334352593 abstract "The paper describes the behaviour of a flexible aircraft in a turbulence field described according to Dryden model. The flexibility degrees of freedom are limited to wing flexion only, but it would be straightforward to extend the analysis to wing torsion dynamics. The model takes into account the statistical distribution of the wind along the wingspan. At first the analysis is developed on a rigid aircraft, using aerodynamic lifting-line theory. A second part takes into account the flexion dynamics, introduced through a modal decomposition, and it is shown an exact equivalence between the rigid and elastic displacements on the resulting rolling moment. The analysis gives a sensitivity criterion of each mode shape to turbulence, which can be used in order to select the appropriate modal decomposition in a real-world simulation. At last, the theoretical results are applied on a tutorial example, where the rolling moment induced by turbulence is computed on a rigid and a flexible aircraft. CONTEXT Analysis of the flight of high capacity transport aircraft in turbulence shows that the low frequency assumption usually adopted, where the aircraft size is neglected with respect to the gust, is no longer valid for such large aircraft. The wind distribution, mainly on the wing, has to be considered. This feature deeply affects the aircraft dynamics along the roll axis : when the wind distribution on the wing is assumed to be uniform, a symmetric loading is observed, and no rolling moment is induced by the wind. A real gust will not affect the right wing in a similar way as the left one, which results in a roll perturbation that is effectively felt on a real aircraft. This context explains the reason why the roll dynamics has been considered herein. Another usual feature of large scale aircraft properties lies in the flexibility of the wing and fuselage, even at low frequency. It is thus a challenging task to describe the full dynamics of the flexible aircraft in a realistic turbulence : such is the objective of the present paper. A first part will analyse, as a starting point, the behaviour of a rigid aircraft in turbulence. Extension to the flexible aircraft will be later developed. The theory described here is a complete analysis of the phenomenon, which has never been previously managed. RIGID AIRCRAFT The model developed subsequently follows and expands the theory proposed by Diederich. Usual models of turbulence describe the wind felt by a point-mass moving in the atmosphere : Dryden and Von Karman spectra are representative of the statistical distribution of the gust kinetic energy when the point-mass moves in a frozen field of turbulence. MIL F8785 handling qualities requirements take into account the wind distribution on the wing by a lateral gradient at C.G., which implies a linear distribution that is only valid for low frequencies of the gust (linear approximation). As soon as the wind model considers the general problem of an aircraft submitted to a realistic field of turbulence, there is no reason to consider any particular point of the aircraft. So Diederich proposed to synthesise the perturbation induced on the aircraft by a single parameter : the rolling moment due to the gust. A proper calculation of this parameter is possible when an aerodynamic model has been defined, however restricted to linear behaviour. The resulting rolling moment generated by any * Copyright © 2000 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved" @default.
• W2334352593 created "2016-06-24" @default.
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• W2334352593 date "2000-08-14" @default.
• W2334352593 modified "2023-09-25" @default.
• W2334352593 title "A theory of the flight of a flexible aircraft in turbulence - Roll dynamics" @default.
• W2334352593 doi "https://doi.org/10.2514/6.2000-3977" @default.
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