Reference : Asymmetric limit cycle oscillations in systems with symmetric freeplay
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Asymmetric limit cycle oscillations in systems with symmetric freeplay
Dimitriadis, Grigorios mailto [Université de Liège > Département d'aérospatiale et mécanique > Interactions Fluide-Structure - Aérodynamique expérimentale >]
Proceedings of the International Forum on Aeroelasticity and Structural Dynamics, IFASD 2015
Paper IFASD-2015-009
International Forum on Aeroelasticity and Structural Dynamics
from 28-06-2015 to 02-07-2015
Central Aerohydrodynamics Institute (TsAGI)
Saint Petersburg
[en] Nonlinear aeroelasticity ; Freeplay ; Limit Cycle Oscillations ; Bifurcation
[en] In this paper, a simple 2D aeroelastic system with degrees of freedom in pitch, plunge and control surface deflection is investigated with freeplay in the pitch degree of freedom. It is shown that this system features a fixed point at the origin as well as two anti-symmetric fixed points. Asymmetric limit cycles that span only two of the three piecewise linear subdomains of the phase plane can orbit these anti-symmetric fixed points. A single three-domain symmetric cycle and two two-domain cycles appear as a result of a grazing bifurcation occurring at the flutter speed of the underlying linear system. The two-domain cycles can undergo further fold, period doubling and torus bifurcations. They can cause both periodic and aperiodic oscillations, including highly chaotic responses at parameter values where they interact strongly.
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