Abstract
For accurate positioning of motion systems having an accurate yet low-order dynamic model from actuators to sensors and to unmeasured performance variables is crucial. A (reduced) Finite Element (FE) dynamic model may be a good candidate. However, a FE model in practice has limited accuracy in describing the dynamic behavior of the system for nano positioning performance. This can be either due to the simplifications in the FE modeling or due to system variations. To improve the dynamic properties of the (reduced) FE model toward dynamic properties of the real system, an Iterative Pole-Zero (IPZ) model updating procedure that updates poles and zeros of a single Frequency Response Function (FRF) was recently proposed. Using more FRFs from different actuator/sensor configurations helps to better improve the dynamic properties of the (reduced) FE model. In this paper, an extension of IPZ model updating to use multiple FRF measurements is presented. The proposed method is verified using a simulated experiment of a pinned-sliding beam structure.
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References
Yang, J., Ouyang, H., Zhang, J.-F.: A new method of updating mass and stiffness matrices simultaneously with no spillover. J. Vib. Control 22 (5), 1181–1189 (2016)
Mottershead, J.E., Link, M., Friswell, M.I.: The sensitivity method in finite element model updating: a tutorial. Mech. Syst. Signal Process. 25, 2275–2296 (2011)
Jaishi, B., Ren, W.-X.: Finite element model updating based on eigenvalue and strain energy residuals using multiobjective optimisation technique. Mech. Syst. Signal Process. 21, 2295–2317 (2007)
Dorosti, M., Fey, R., Heertjes, M., van de Wal, M., Nijmeijer, H.: Finite element model reduction and model updating of structures for control. In: 19th World Congress The International Federation of Automatic Control, Cape Town (2014)
Arora, V., Adhikari, S., Friswell, M.: FRF-based finite element model updating method for non-viscous and non-proportional damped system. In: International Conference on Structural Engineering Dynamics, Lagos (2015)
Dorosti, M., Heck, F., Fey, R., Heertjes, M., van de Wal, M., Nijmeijer, H.: Frequency response sensitivity model updating using generic parameters. In: American Control Conference (ACC) (2016)
Arora, V.: Constrained antiresonance frequencies based model updating method for better matching of FRFs. Inverse Prob. Sci. Eng. 22 (6), 873–888 (2014)
D’Ambrogio, W., Fregolent, A.: Results obtained by minimising natural frequency and antiresonance errors of a beam model. Mech. Syst. Signal Process. 17 (1), 29–37 (2003)
de Kraker, B.: A Numerical-Experimental Approach in Structural Dynamics. Shaker, Maastricht (2013)
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© 2017 The Society for Experimental Mechanics, Inc.
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Dorosti, M., Fey, R.H.B., Heertjes, M.F., van de Wal, M.M.J., Nijmeijer, H. (2017). Iterative Pole-Zero Model Updating Using Multiple Frequency Response Functions. In: Caicedo, J., Pakzad, S. (eds) Dynamics of Civil Structures, Volume 2 . Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-54777-0_8
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DOI: https://doi.org/10.1007/978-3-319-54777-0_8
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