Analysis of a piecewise linear aeroelastic system with and without tuned vibration absorber
János Lelkes,Tamás Kalmár-Nagy +1 more
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In this article, a linear tuned vibration absorber is applied to increase stall flutter wind speed and eliminate limit cycle oscillations, and the effect of the absorber parameters on the stability of equilibria is investigated using the Lienard-Chipart criterion.Abstract:
The dynamics of a two-degrees-of-freedom (pitch–plunge) aeroelastic system is investigated. The aerodynamic force is modeled as a piecewise linear function of the effective angle of attack. Conditions for admissible (existing) and virtual equilibria are determined. The stability and bifurcations of equilibria are analyzed. We find saddle-node, border collision and rapid bifurcations. The analysis shows that the pitch–plunge model with a simple piecewise linear approximation of the aerodynamic force can reproduce the transition from divergence to the complex aeroelastic phenomenon of stall flutter. A linear tuned vibration absorber is applied to increase stall flutter wind speed and eliminate limit cycle oscillations. The effect of the absorber parameters on the stability of equilibria is investigated using the Lienard–Chipart criterion. We find that with the vibration absorber the onset of the rapid bifurcation can be shifted to higher wind speed or the oscillations can be eliminated altogether.read more
Citations
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Journal ArticleDOI
The Theory of Matrices. By F R. Gantmacher. Two volumes, pp. 374 and 276. 1959. (Translated from the Russian by K. A. Hirsch; Chelsea Publishing Company, New York)
Journal ArticleDOI
Complex nonlinear dynamics and vibration suppression of conceptual airfoil models: A state-of-the-art overview.
TL;DR: In this article , 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 is presented.
Journal ArticleDOI
Routes to Synchronization in a pitch–plunge aeroelastic system with coupled structural and aerodynamic nonlinearities
TL;DR: In this paper, the synchronization characteristics of a pitch-plunge aeroelastic system subjected to coupled structural free-play and dynamic stall-induced aerodynamic nonlinearities are investigated.
References
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Book
The Theory of Matrices
TL;DR: In this article, the Routh-Hurwitz problem of singular pencils of matrices has been studied in the context of systems of linear differential equations with variable coefficients, and its applications to the analysis of complex matrices have been discussed.
Journal ArticleDOI
The Theory of Matrices. By F R. Gantmacher. Two volumes, pp. 374 and 276. 1959. (Translated from the Russian by K. A. Hirsch; Chelsea Publishing Company, New York)
Book ChapterDOI
Scaling: Self-similarity and intermediate asymptotics
TL;DR: The application of dimensional analysis to the construction of intermediate asymptotic solutions to problems of mathematical physics can be found in this article, where the authors describe the application of similarity analysis to scaling in deformation and fracture in solids.
Book
An introduction to the theory of aeroelasticity
TL;DR: An introduction to the theory of aeroelasticity, An Introduction to the Theory of Aero-Elasticity as mentioned in this paper, An introduction to aero-elasticities,
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