Aeroelastic Stability Estimation of Control Surfaces with Freeplay Nonlinearity

Aykut Tamer, Pierangelo Masarati


This work discusses the quantitative stability evaluation of aeroelastic problems with
freeplay in the control surfaces. Stability estimation of linear time invariant and linear time
periodic systems rely on eigenanalysis of state transition matrices and implies simplifications on
the problems governed by nonlinear non-autonomous equations. Lyapunov Characteristic Exponents directly provide quantitative information on the stability of nonlinear non-autonomous
dynamical systems. Stability estimation using Lyapunov Characteristic Exponents does not
require a special reference solution and is consistent with the eigensolution of linear time invariant and Floquet-Lyapunov analysis of linear time periodic systems. Thus, they represent
a natural generalization of conventional stability analysis. The Discrete QR method is used to
practically estimate the Lyapunov Characteristic Exponents. The method is applied to a
three-dimensional aeroelastic problems with freeplay in the control surface.


Freeplay; Lyapunov Characteristic Exponents; Nonlinear Aeroelasticity

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