Abstract
Model correlation and model calibration using test data are natural ingredients in the process of validating computational models. Here, model calibration for the important sub-class of non-linear systems consisting of structures dominated by linear behavior having presence of local non-linear effects is studied.
The focus is on the selection of uncertain model parameters together with the forming of the objective function to be used for calibration. To give precise estimation of parameters in the presence of measurement noise, the objective function data have to be informative with respect to the parameters chosen. Also, to get useful data the excitation force is here designed to be multi-harmonic since steady-state responses at the side frequencies are shown to contain valuable information for the calibration process.
In this paper, test data from a replica of the Ecole Centrale de Lyon (ECL) nonlinear benchmark together with steady-state solutions stemming from calculations using the Multi-Harmonic Balancing method are used for illustration of the proposed model calibration procedure.
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References
Thouverez F (2003) Presentation of the ECL benchmark. Mech Syst Signal Process 17(1):195–202
Abrahamsson T, Kammer DC (2014) Finite element model calibration using frequency responses with damping equalization. In: Proceeding of the SEM IMAC XXXII conference, Orlando, FL
Chen Y, Linderholt A, Abrahamsson T (2014) Frequency response calculations of a nonlinear structure-a comparison of numerical methods. In: Proceeding of the SEM IMAC XXXII conference, Orlando, FL
Udwadia FE (1997) A finite element model updating formulation using frequency responses and eigenfrequencies. In: NAFEMS international conference on structural dynamics modelling, pp 293–305
Nash SG, Sofer A (1996) Linear and nonlinear programming. McGraw-Hill, New York
Yaghoubi V, Chen Y, Linderholt A, Abrahamsson T (2013) Locally non-linear model calibration using multi harmonic responses -applied on Ecole de Lyon non linear Benchmark structure. In: Proceeding of the SEM IMAC XXXII conference
MSC Nastran version 2012
McKay MD, Beckman RJ, Conover WJ (1979) A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21(2):239–245
Acknowledgement
We gratefully acknowledge the Swedish National Aviation Engineering Program (NFFP) for their kind support of this work.
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© 2014 The Society for Experimental Mechanics, Inc.
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Chen, Y., Yaghoubi, V., Linderholt, A., Abrahamsson, T. (2014). Model Calibration of a Locally Non-linear Structure Utilizing Multi Harmonic Response Data. In: Kerschen, G. (eds) Nonlinear Dynamics, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-04522-1_9
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DOI: https://doi.org/10.1007/978-3-319-04522-1_9
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