TY - GEN
T1 - Nonlinear model updating methodology with application to the IMAC XXXIII round robin benchmark problem
AU - Kurt, Mehmet
AU - Moore, Keegan J.
AU - Eriten, Melih
AU - McFarland, D. Michael
AU - Bergman, Lawrence
AU - Vakakis, Alexander F.
PY - 2016
Y1 - 2016
N2 - We develop a new nonlinear model updating strategy based on global/local nonlinear system identification of general mechanical systems. The approach relies on analyzing system time series in the frequency-energy domain by constructing Hamiltonian, and forced/damped frequency-energy plots (FEPs). The system parameters are then characterized and updated by matching the backbone branches of the FEPs with the frequency-energy wavelet transforms of experimental and/or computational time series. The main advantage of this method is that no nonlinearity model is assumed a priori, and the system model is updated solely based on simulation and/or experimental results. By matching the frequency-energy plots of the benchmark system and its reduced order model, we show that we are able to retrieve the global dynamics in the frequency and energy ranges of interest, identify bifurcations, characterize local nonlinearities, and accurately reconstruct time series.
AB - We develop a new nonlinear model updating strategy based on global/local nonlinear system identification of general mechanical systems. The approach relies on analyzing system time series in the frequency-energy domain by constructing Hamiltonian, and forced/damped frequency-energy plots (FEPs). The system parameters are then characterized and updated by matching the backbone branches of the FEPs with the frequency-energy wavelet transforms of experimental and/or computational time series. The main advantage of this method is that no nonlinearity model is assumed a priori, and the system model is updated solely based on simulation and/or experimental results. By matching the frequency-energy plots of the benchmark system and its reduced order model, we show that we are able to retrieve the global dynamics in the frequency and energy ranges of interest, identify bifurcations, characterize local nonlinearities, and accurately reconstruct time series.
KW - Frequency-energy plots
KW - Nonlinear model updating
KW - Nonlinear system identification
KW - Reduced-order modelling
UR - http://www.scopus.com/inward/record.url?scp=84967262710&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84967262710&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-15221-9_31
DO - 10.1007/978-3-319-15221-9_31
M3 - Conference contribution
AN - SCOPUS:84967262710
SN - 9783319152202
T3 - Conference Proceedings of the Society for Experimental Mechanics Series
SP - 343
EP - 347
BT - Dynamic Behavior of Materials
A2 - Kerschen, Gaëtan
PB - Springer
T2 - 33rd IMAC, Conference and Exposition on Structural Dynamics, 2015
Y2 - 2 February 2015 through 5 February 2015
ER -