Nonlinear dynamics and gust response of a two-dimensional wing

Zhang, Xiaoyang; Kheiri, Mojtaba; Xie, Wenfang

doi:10.1016/j.ijnonlinmec.2020.103478

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Cited by 16 publications

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“…Zhou et al [39] paid more attention to the boundary layer characteristics near TE. Other nonlinear dynamics [40,41] have also been proved to be related to the generation and evolution of vortices even at transonic flight [42].…”

Section: Nomenclature αmentioning

confidence: 99%

Effects of Pivot Point and Spacing on the Aerodynamic Characteristics of Tilting Biplane Airfoils

et al. 2022

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Section: Nomenclature αmentioning

confidence: 99%

Effects of Pivot Point and Spacing on the Aerodynamic Characteristics of Tilting Biplane Airfoils

et al. 2022

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An Investigation of Dynamical Behavior of a Wing Model

Cheng,

Liu,

et al. 2023

J Nonlinear Math Phys

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Bifurcations of equilibria of a wing model have been investigated in this paper. It is shown that the quintic nonlinear terms in the pitch and the plunge coordinate have affected the bifurcation structure of nontrivial equilibria in different degree. In contrast with the quintic stiffening parameter in plunge, the quintic parameter in pitch has a relatively significant effect, which will affect the number, position and stability of nontrivial equilibria. Therein two pairs of nontrivial equilibria with opposite stability coexist or disappear by two fold bifurcations. If the freestream velocity has been taken as a continuation parameter, it will affect the bifurcation structure of all the equilibria, including the trivial and the nontrivial. Wherein the equilibria vary from a trivial to two nontrivial ones by a pitchfork bifurcation. Then one of nontrivial equilibria experiences a supercritical Hopf bifurcation and the bifurcated limit cycles form an ellipsoidal structure with the limit cycles bifurcated from the trivial equilibrium.

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