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Non-linear system identification of the dynamics of aeroelastic instability suppression based on targeted energy transfers

Published online by Cambridge University Press:  03 February 2016

Y. S. Lee ,
A. F. Vakakis ,
D. M. McFarland  and
L. A. Bergman
Y. S. Lee
Affiliation:
younglee@nmsu.edu, Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, USA
A. F. Vakakis
Affiliation:
avakakis@illinois.edu, Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois, USA
D. M. McFarland
Affiliation:
dmmcf@illinois.edu, Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, Urbana, USA
L. A. Bergman
Affiliation:
lbergman@illinois.edu, Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, Urbana, USA
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Abstract

We revisit our earlier study of targeted energy transfer (TET) mechanisms for aeroelastic instability suppression by employing time-domain nonlinear system identification based on the equivalence between analytical and empirical slow flows. Performing multiscale partitions of the dynamics directly on measured (or simulated) time series without any presumptions regarding the type and strength of the system nonlinearity, we derive nonlinear interaction models (NIMs) as sets of intrinsic modal oscillators (IMOs). The eigenfre-quencies of IMOs are characterised by the ‘fast’ dynamics of the problem and their forcing terms represent slowly-varying nonlinear modal interactions across the different time scales of the dynamics. We demonstrate that NIMs not only provide information on modal energy exchanges under nonlinear resonant interactions, but also directly dictate robustness behaviour of TET mechanisms for suppressing aeroelastic instabilities. Finally, we discuss the usefulness of NIMs in constructing frequency-energy plots that reveal global features of the dynamics to distinguish between different TET mechanisms and to study robustness of aeroelastic instability suppression.

Type
Research Article
Information
The Aeronautical Journal , Volume 114 , Issue 1152 , February 2010 , pp. 61 - 82
Copyright
Copyright © Royal Aeronautical Society 2010 

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