Abstract
A review of current efforts towards developing a non-linear system identification (NSI) methodology of broad applicability [1-4] is provided in this article. NSI possess distinct challenges, since, even the task of identifying a set of (linearized) modal matrices modified ('perturbed') by non-linear corrections might be an oversimplification of the problem. In that context, the integration of diverse analytical, computational, and post-processing methods, such as slow flow constructions, empirical mode decompositions, and wavelet/Hilbert transforms to formulate a methodology that holds promise of broad availability, especially to systems with non-smooth non-linearities such as clearances, dry friction and vibro-impacts is proposed. In particular, the proposed methodology accounts for the fact that, typically, non-linear systems are energy- and initial condition-dependent, and has both global and local components. In the global aspect of NSI, the dynamics is represented in a frequency-energy plot (FEP), whereas in the local aspect of the methodology, sets of intrinsic modal oscillators are constructed to model specific non-linear transitions on the FEP. The similarity of the proposed methodology to linear experimental modal analysis is discussed, open questions are outlined, and some applications providing a first demonstration of the discussed concepts and techniques are provided.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2497-2515 |
| Number of pages | 19 |
| Journal | Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science |
| Volume | 225 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 2011 |
Fingerprint
Keywords
- Empirical mode decomposition
- Frequency-energy plot
- Intrinsic modal oscillator
- Nonlinear system identification
- Vibro-impact dynamics
ASJC Scopus subject areas
- Mechanical Engineering
Cite this
Current efforts towards a non-linear system identification methodology of broad applicability. / Vakakis, Alexander F; Bergman, Lawrence; McFarland, D. M.; Lee, Y. S.; Kurt, M.
In: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 225, No. 11, 11.2011, p. 2497-2515.Research output: Contribution to journal › Review article
}
TY - JOUR
T1 - Current efforts towards a non-linear system identification methodology of broad applicability
AU - Vakakis, Alexander F
AU - Bergman, Lawrence
AU - McFarland, D. M.
AU - Lee, Y. S.
AU - Kurt, M.
PY - 2011/11
Y1 - 2011/11
N2 - A review of current efforts towards developing a non-linear system identification (NSI) methodology of broad applicability [1-4] is provided in this article. NSI possess distinct challenges, since, even the task of identifying a set of (linearized) modal matrices modified ('perturbed') by non-linear corrections might be an oversimplification of the problem. In that context, the integration of diverse analytical, computational, and post-processing methods, such as slow flow constructions, empirical mode decompositions, and wavelet/Hilbert transforms to formulate a methodology that holds promise of broad availability, especially to systems with non-smooth non-linearities such as clearances, dry friction and vibro-impacts is proposed. In particular, the proposed methodology accounts for the fact that, typically, non-linear systems are energy- and initial condition-dependent, and has both global and local components. In the global aspect of NSI, the dynamics is represented in a frequency-energy plot (FEP), whereas in the local aspect of the methodology, sets of intrinsic modal oscillators are constructed to model specific non-linear transitions on the FEP. The similarity of the proposed methodology to linear experimental modal analysis is discussed, open questions are outlined, and some applications providing a first demonstration of the discussed concepts and techniques are provided.
AB - A review of current efforts towards developing a non-linear system identification (NSI) methodology of broad applicability [1-4] is provided in this article. NSI possess distinct challenges, since, even the task of identifying a set of (linearized) modal matrices modified ('perturbed') by non-linear corrections might be an oversimplification of the problem. In that context, the integration of diverse analytical, computational, and post-processing methods, such as slow flow constructions, empirical mode decompositions, and wavelet/Hilbert transforms to formulate a methodology that holds promise of broad availability, especially to systems with non-smooth non-linearities such as clearances, dry friction and vibro-impacts is proposed. In particular, the proposed methodology accounts for the fact that, typically, non-linear systems are energy- and initial condition-dependent, and has both global and local components. In the global aspect of NSI, the dynamics is represented in a frequency-energy plot (FEP), whereas in the local aspect of the methodology, sets of intrinsic modal oscillators are constructed to model specific non-linear transitions on the FEP. The similarity of the proposed methodology to linear experimental modal analysis is discussed, open questions are outlined, and some applications providing a first demonstration of the discussed concepts and techniques are provided.
KW - Empirical mode decomposition
KW - Frequency-energy plot
KW - Intrinsic modal oscillator
KW - Nonlinear system identification
KW - Vibro-impact dynamics
UR - http://www.scopus.com/inward/record.url?scp=81255143199&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=81255143199&partnerID=8YFLogxK
U2 - 10.1177/0954406211417217
DO - 10.1177/0954406211417217
M3 - Review article
AN - SCOPUS:81255143199
VL - 225
SP - 2497
EP - 2515
JO - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
JF - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
SN - 0954-4062
IS - 11
ER -