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TsAGI Science Journal

ISSN Imprimer: 1948-2590
ISSN En ligne: 1948-2604

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.2014011291
pages 169-177

FREQUENCY METHOD OF FLUTTER ANALYSIS AND ITS APPLICATION TO CALCULATED AND EXPERIMENTAL STUDY

Stanislav Viktorovich Morgunov
Raduga State Machine-Building Design Bureau, 2a, Zhukovsky str., Dubna, Moscow Region 141980, Russia

RÉSUMÉ

It is shown that the problem of flutter analysis is analogous to the classical problem of stability analysis of the multi-input/multi-output closed-loop control system with cross links. It is also shown that the multi-connected open-loop system corresponding to the closed-loop system can be reduced to a set of simply connected circuits, in which the role of transfer functions is played by the eigenvalues of the transfer matrix of the system. This enables the stability of each of the contours to be analyzed using conventional frequency methods. A computing example illustrating the equivalence of the conventional approach and the approach considered in the paper is shown. It is shown that the method of the computational/experimental investigation of flutter based directly on the experimentally determined frequency structural characteristics can be drawn from the developed assumptions. This method does not require preliminary determination of the frequencies and natural modes of vibration and can become a significant addition to conventional methods of computational/experimental investigations of flutter and aeroelastic stability.

RÉFÉRENCES

  1. Popov, E. P. , Theory of Linear Automatic Control Systems.

  2. Morgunov, S. V., About the method of stability evaluation of aircraft stabilization loop at the presence of cross links.

  3. Wilkinson, J. H. , The Algebraic Eigenvalue Problem.

  4. Gantmaher, F. R. , Theory of Matrices.


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