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 language | English (US) |
|---|---|
| Pages (from-to) | 61-62 |
| Number of pages | 2 |
| Journal | Aeronautical Journal |
| Volume | 114 |
| Issue number | 1152 |
| State | Published - Feb 1 2010 |
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ASJC Scopus subject areas
- Aerospace Engineering
Cite this
Non-linear system identification of the dynamics of aeroelastic instability suppression based on targeted energy transfers. / Lee, Y. S.; Vakakis, A. F.; McFarland, D. M.; Bergman, L. A.
In: Aeronautical Journal, Vol. 114, No. 1152, 01.02.2010, p. 61-62.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Non-linear system identification of the dynamics of aeroelastic instability suppression based on targeted energy transfers
AU - Lee, Y. S.
AU - Vakakis, A. F.
AU - McFarland, D. M.
AU - Bergman, L. A.
PY - 2010/2/1
Y1 - 2010/2/1
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=77950319313&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:77950319313
VL - 114
SP - 61
EP - 62
JO - Aeronautical Journal
JF - Aeronautical Journal
SN - 0001-9240
IS - 1152
ER -