Aeroelastic Stability Analysis Using Linear Matrix Inequalities
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Data
2012-01-01
Autores
Bueno, Douglas D.
Marqui, Clayton R.
Goes, Luiz C. S.
Goncalvez, Paulo J. P. [UNESP]
Título da Revista
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Editor
Springer
Resumo
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.
Descrição
Palavras-chave
flutter analysis, LMI, Lyapunov function, time domain
Como citar
Journal Of The Brazilian Society Of Mechanical Sciences And Engineering. Heidelberg: Springer Heidelberg, v. 34, p. 545-551, 2012.