In problems of fluid and flexible structure interactions various physical phenomena can be observed and also, because of its catastrophic nature, flutter is an important topic involving aeroelastic stability. This phenomenon is an interaction between the structural dynamics and the aerodynamics that results in divergent and destructive oscillations of motion. The present work describes an alternative methodology for identification of aeroelastic stability in a range of varying parameters. Analysis is performed in time domain based on Lyapunov stability and solved by convex optimization algorithms. The theory is outlined and simulations are carried out on a benchmark system to illustrate the method. The classical methodology with the analysis of the system's eigenvalues is presented for comparing the results and validating the approach. The aeroelastic model is represented in state space format and the unsteady aerodynamic forces are written in time domain using rational function approximation. The problem is formulated as a polytopic differential inclusion system and the conceptual idea can be used in two different applications. In the first application the method verifies the aeroelastic stability in a range of air density (or its equivalent altitude range). In the second one, the stability is verified for a range of velocities. These analyses are in contrast to the classical discrete analysis performed at fixed air density/velocity values. It is shown that this method is efficient to identify stability regions in the flight envelope and it offers promise for robust flutter identification.
Aeroelastic stability analysis using linear matrix inequalities
Journal of the Brazilian Society of Mechanical Sciences and Engineering ; 34 , Special Issue 2 ; 545-551
2012
7 Seiten, 16 Bilder, 1 Tabelle, 19 Quellen
Article (Journal)
English
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