Gust Response Computations with Control Surface Freeplay Using Random Input Describing Functions

Padmanabhan, Madhusudan A.; Dowell, Earl H.

doi:10.2514/1.j059218

Cited by 8 publications

(5 citation statements)

References 23 publications

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“…The equivalent linearization stiffness k eq has been derived in some existing works, 14,38 and here it is written aswhere φ=cos−1δ/A.…”

Section: The Developed Describing Function Methodsmentioning

confidence: 99%

Aeroelastic investigation on an all-movable horizontal tail with free-play nonlinearity

Ai,

Bai,

Qian

et al. 2023

Journal of Low Frequency Noise, Vibration and Active Control

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Free-play-induced nonlinear dynamic behavior has been one of the most important topics of aeroelastic research in recent decades. In this paper, the describing function (DF) method is developed to investigate the complex dynamic response of a popular all-movable horizontal tail with free-play. Piecewise expressions for the time history and phase portrait of limit cycle oscillation (LCO) are derived by the developed DF method, which is conducive to understand the mechanism of free-play-induced LCO. Another advantage of the developed DF method is the ability to predict the high-order harmonics, which cannot be realized by the classic DF method. A three-dimensional (3D) all-movable horizontal tail model with torsional free-play was designed and manufactured to implement wind tunnel tests via various initial parameters. A good agreement was found between the numerical and experimental results, which can demonstrate the effectiveness of the proposed method. The influence of the initial parameters of the all-movable horizontal tail on the LCO characteristics is analyzed by both numerical calculations and wind tunnel tests. The method and results in this paper can provide a significant reference for the design of all-movable horizontal tail versus the free-play-induced LCO.

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“…The equivalent linearization stiffness k eq has been derived in some existing works, 14,38 and here it is written aswhere φ=cos−1δ/A.…”

Section: The Developed Describing Function Methodsmentioning

confidence: 99%

Aeroelastic investigation on an all-movable horizontal tail with free-play nonlinearity

Ai,

Bai,

Qian

et al. 2023

Journal of Low Frequency Noise, Vibration and Active Control

View full text Add to dashboard Cite

show abstract

“…Several random fluctuations, such as atmospheric turbulence, gusts, etc., always exist in the practical flight environment, which will affect the performance of an aircraft. [61][62][63][64][65][66][67][68][69][70] As a consequence, it is of extreme importance to consider stochasticity in the design process of an aircraft. The development of random dynamic theory provides us an opportunity to understand the complex dynamic behaviors of the conceptual airfoil system (1) with different random fluctuations.…”

Section: Stochastic Case Of the Airfoil Modelmentioning

confidence: 99%

“…In fact, in complex flight environments, aircrafts are inevitably subject to various random fluctuations, such as atmospheric turbulence, gust, and pressure disturbance. [61][62][63][64][65][66][67][68][69][70] Stochasticity has several remarkable impacts on the dynamical behaviors of nonlinear systems due to the coupling between random fluctuations and nonlinear factors. In particular, for the nonlinear systems with bistable or multistable characteristics, random fluctuation can cause rich and interesting behaviors, including critical transition, [71][72][73][74] stochastic bifurcation, 75,76 stochastic resonance, [77][78][79] etc.…”

Section: Introductionmentioning

confidence: 99%

“…Since then, several researchers have already made great efforts to the nonlinear stochastic dynamics of the conceptual aeroelastic airfoil models. [64][65][66][67][68][69] Although plenty of investigations have been worked on nonlinear stochastic dynamics of two-dimensional aeroelastic airfoil systems during the past few decades, they are still limited.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Complex nonlinear dynamics and vibration suppression of conceptual airfoil models: A state-of-the-art overview

Liu

Kurths

et al. 2022

Chaos: An Interdisciplinary Journal of Nonlinear Science

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During the past few decades, several significant progresses have been made in exploring complex nonlinear dynamics and vibration suppression of conceptual aeroelastic airfoil models. Additionally, some new challenges have arisen. To the best of the author’s knowledge, most studies are concerned with the deterministic case; however, the effects of stochasticity encountered in practical flight environments on the nonlinear dynamical behaviors of the airfoil systems are neglected. Crucially, coupling interaction of the structure nonlinearities and uncertainty fluctuations can lead to some difficulties on the airfoil models, including accurate modeling, response solving, and vibration suppression. At the same time, most of the existing studies depend mainly on a mathematical model established by physical mechanisms. Unfortunately, it is challenging and even impossible to obtain an accurate physical model of the complex wing structure in engineering practice. The emergence of data science and machine learning provides new opportunities for understanding the aeroelastic airfoil systems from the data-driven point of view, such as data-driven modeling, prediction, and control from the recorded data. Nevertheless, relevant data-driven problems of the aeroelastic airfoil systems are not addressed well up to now. This survey contributes to conducting a comprehensive overview of recent developments toward understanding complex dynamical behaviors and vibration suppression, especially for stochastic dynamics, early warning, and data-driven problems, of the conceptual two-dimensional airfoil models with different structural nonlinearities. The results on the airfoil models are summarized and discussed. Besides, several potential development directions that are worth further exploration are also highlighted.

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“…Calderon et al [1] performed sizing on various high aspect ratio wings using geometrically nonlinear beam models, and revealed the optimum wing aspect ratio (𝐴𝑅), where a further increase in 𝐴𝑅 will lead to the reduced aircraft performances due to the significant weight penalty. Many load alleviation techniques rely on active control systems, which manipulates control surfaces or structures in response to the aerodynamics loads [6][7][8][9][10]. For example the active control system employed in the Lockheed L-1011-500 aircraft provided both manoeuvre and gust load alleviation by actively adjusting the horizontal stabiliser and ailerons according to flight data gathered from the sensors installed on the airframe,and a 1.25% reduction in structural weight was achieved [11].…”

Section: Introductionmentioning

confidence: 99%

Sizing of High Aspect Ratio Wings with Folding Wing Tips

Healy

Rezgui

et al. 2022

AIAA SCITECH 2022 Forum

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Gust Response Computations with Control Surface Freeplay Using Random Input Describing Functions

Cited by 8 publications

References 23 publications

Aeroelastic investigation on an all-movable horizontal tail with free-play nonlinearity

Aeroelastic investigation on an all-movable horizontal tail with free-play nonlinearity

Complex nonlinear dynamics and vibration suppression of conceptual airfoil models: A state-of-the-art overview

Sizing of High Aspect Ratio Wings with Folding Wing Tips

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