Subcritical Limit Cycle in Airfoil Aeroelastic System with Freeplay: Prediction and Mechanism

Chen, Y. M.; Chen, D. H.; Liu, J. K.

doi:10.2514/1.j058522

Cited by 11 publications

(3 citation statements)

References 33 publications

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“…On the one hand, to understand well the nonlinear behaviors of the aeroelastic airfoil model, several approximated analytical techniques have been developed to theoretical analysis of the airfoil system (1), including the harmonic balance method, the incremental harmonic balance method, multiple scales method, etc. [11][12][13][14][15][16][17][18][19]34,37 Dai et al 11 presented a time-domain collocation method for studying flutter behaviors of a two-dimensional airfoil model with hardening cubic structural nonlinearity. Wei and Mottershead 12 addressed complex dynamical behaviors of a two degrees of freedom rigid rectangular wing through combining a describing function method with a Sherman-Morrison formula, in which softening cubic stiffness nonlinearity in the pitch degree of freedom was considered.…”

Section: Deterministic Case Of the Airfoil Model A Flutter Analysismentioning

confidence: 99%

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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Section: Deterministic Case Of the Airfoil Model A Flutter Analysismentioning

confidence: 99%

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

View full text Add to dashboard Cite

show abstract

“…[5][6][7][8] Free-play has been recognized as a non-negligible inducement of these problems, because it is the most significant source of structural nonlinearity. [9][10][11][12] Various methods have been developed to study nonlinear aeroelastic behaviors induced by free-play. Among them, the harmonic balance (HB) method and its variants are practical tools for predicting and analyzing nonlinear dynamic responses and have been widely applied to aeroelastic systems with free-play nonlinearity in the past decades.…”

Section: Introductionmentioning

confidence: 99%

“…5–8 Free-play has been recognized as a non-negligible inducement of these problems, because it is the most significant source of structural nonlinearity. 9–12…”

Section: Introductionmentioning

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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Nonlinear Aeroelastic Study of an All-Movable Horizontal Tail with Multiple Free-Plays and Angle of Attack

Ai,

Bai,

Qian

et al. 2024

2023 Asia-Pacific International Symposium on Aerospace Technology (APISAT 2023) Proceedings

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Subcritical Limit Cycle in Airfoil Aeroelastic System with Freeplay: Prediction and Mechanism

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Cited by 11 publications

References 33 publications

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

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

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

Nonlinear Aeroelastic Study of an All-Movable Horizontal Tail with Multiple Free-Plays and Angle of Attack

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