Flutter instability and active aeroelastic control with time delay for a two-dimensional airfoil
Résumé
This paper studies the stability of a two-dimensional controlled airfoil system with time delay. First of all, a hybrid approach based on the frequency sweep test and the eigenvalue problem approximation using the Taylor series expansion of the delayed term is proposed to predict the critical time delay as well as the angular frequency of flutter instability. The efficiency of the proposed approach is illustrated by numerical examples for the prediction of self-sustaining vibrations of a phenomenological airfoil model with two degrees of freedom. One point of interest is to bring an understanding of the physical phenomena of the dynamic behavior involved in the appearance of flutter for the controlled airfoil system with time delay. Numerical results indicate that although one active controller is effective in suppressing airfoil flutter in a controlled system without time delay, control failure may happen depending on the time delay in control design. Secondly not only the effectiveness but also some drawbacks of two proposed controllers, namely the linear quadratic regulator state-feedback controller and the pole placement approach, are discussed through numerical simulations.
Domaines
Mécanique [physics.med-ph]
Origine : Publication financée par une institution