Abstract
This paper presents the identification of the local nonlinear effects on the essential dynamics of distributed parameter systems. The system considered is a simple cantilever beam with an attached cubic nonlinear spring at its tip. Nonlinear system identification (NSI) method applied in this work uses numerical simulation results and combines slow-flow dynamic analysis and empirical mode decomposition (EMD) to reconstruct the dynamics in modal coordinates as reducedorder models. The reduced-order models are single-degree-of freedom linear oscillators, which are termed intrinsic modal oscillators (IMOs), with a forcing computed through slow-flow analysis. These forced oscillators are capable of reproducing the modal dynamics, and their forcing amplitudes provide essential information about modal interactions and energy transfer. The proposed NSI method was applied to 3 main cases, corresponding to weakly nonlinear, strongly nonlinear and linear dynamics, respectively. A discrete model of the original system is used to investigate the internal resonances and nonlinearity effects in the original system, by making use of Frequency-Energy plots (FEPs).
| Original language | English (US) |
|---|---|
| Title of host publication | ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012 |
| Pages | 247-252 |
| Number of pages | 6 |
| DOIs | |
| State | Published - Dec 1 2012 |
| Event | ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012 - Chicago, IL, United States Duration: Aug 12 2012 → Aug 12 2012 |
Publication series
| Name | Proceedings of the ASME Design Engineering Technical Conference |
|---|---|
| Volume | 6 |
Other
| Other | ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012 |
|---|---|
| Country | United States |
| City | Chicago, IL |
| Period | 8/12/12 → 8/12/12 |
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ASJC Scopus subject areas
- Modeling and Simulation
- Mechanical Engineering
- Computer Science Applications
- Computer Graphics and Computer-Aided Design
Cite this
Nonlinear system identification of a cantilever beam with attached cubic nonlinear spring at its free end. / Kurt, Mehmet; Eriten, Melih; Vakakis, Alexander F; Michael McFarland, D.; Bergman, Lawrence.
ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012. 2012. p. 247-252 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 6).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Nonlinear system identification of a cantilever beam with attached cubic nonlinear spring at its free end
AU - Kurt, Mehmet
AU - Eriten, Melih
AU - Vakakis, Alexander F
AU - Michael McFarland, D.
AU - Bergman, Lawrence
PY - 2012/12/1
Y1 - 2012/12/1
N2 - This paper presents the identification of the local nonlinear effects on the essential dynamics of distributed parameter systems. The system considered is a simple cantilever beam with an attached cubic nonlinear spring at its tip. Nonlinear system identification (NSI) method applied in this work uses numerical simulation results and combines slow-flow dynamic analysis and empirical mode decomposition (EMD) to reconstruct the dynamics in modal coordinates as reducedorder models. The reduced-order models are single-degree-of freedom linear oscillators, which are termed intrinsic modal oscillators (IMOs), with a forcing computed through slow-flow analysis. These forced oscillators are capable of reproducing the modal dynamics, and their forcing amplitudes provide essential information about modal interactions and energy transfer. The proposed NSI method was applied to 3 main cases, corresponding to weakly nonlinear, strongly nonlinear and linear dynamics, respectively. A discrete model of the original system is used to investigate the internal resonances and nonlinearity effects in the original system, by making use of Frequency-Energy plots (FEPs).
AB - This paper presents the identification of the local nonlinear effects on the essential dynamics of distributed parameter systems. The system considered is a simple cantilever beam with an attached cubic nonlinear spring at its tip. Nonlinear system identification (NSI) method applied in this work uses numerical simulation results and combines slow-flow dynamic analysis and empirical mode decomposition (EMD) to reconstruct the dynamics in modal coordinates as reducedorder models. The reduced-order models are single-degree-of freedom linear oscillators, which are termed intrinsic modal oscillators (IMOs), with a forcing computed through slow-flow analysis. These forced oscillators are capable of reproducing the modal dynamics, and their forcing amplitudes provide essential information about modal interactions and energy transfer. The proposed NSI method was applied to 3 main cases, corresponding to weakly nonlinear, strongly nonlinear and linear dynamics, respectively. A discrete model of the original system is used to investigate the internal resonances and nonlinearity effects in the original system, by making use of Frequency-Energy plots (FEPs).
UR - http://www.scopus.com/inward/record.url?scp=84884625029&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84884625029&partnerID=8YFLogxK
U2 - 10.1115/DETC2012-70739
DO - 10.1115/DETC2012-70739
M3 - Conference contribution
AN - SCOPUS:84884625029
SN - 9780791845059
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 247
EP - 252
BT - ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012
ER -