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 A.
PY - 2012
Y1 - 2012
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).
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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 - 1st Biennial International Conference on Dynamics for Design; 14th International Conference on Advanced Vehicle Technologies
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012
Y2 - 12 August 2012 through 12 August 2012
ER -