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

Y. S. Lee, A. F. Vakakis, D. M. McFarland, L. A. Bergman

Research output: Contribution to journalArticle

Abstract

We revisit our earlier study of targeted energy transfer (TET) mechanisms for aeroelastic instability suppression by employing timedomain 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 eigenfrequencies 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.

Original languageEnglish (US)
Pages (from-to)61-62
Number of pages2
JournalAeronautical Journal
Volume114
Issue number1152
DOIs
StatePublished - Feb 2010

ASJC Scopus subject areas

  • Aerospace Engineering

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