Efficient vibro-acoustic identification of boundary conditions by low-rank parametric model order reduction
Efficient vibro-acoustic identification of boundary conditions by low-rank parametric model order reduction
A novel method is presented that detects the proper boundary conditions of a test setup in a short time period by combing numerical models with experimental data. This allows for detection and localization of possible anomalies in the assumed boundary conditions of the system. The method works by combining a low-rank parametric model order reduction technique with a model updating strategy, where the boundary conditions of a numerical finite element model are updated by using frequency response function data. This combination makes it possible to update a large amount of parameters, because the assumed low-rank nature of the changes enables the use of non-parametric model order reduction techniques for the calculation of the reduced basis. This is possible, because the system can be rewritten in such a way that the parameter dependencies only show up in the feedforward matrix of the system, thus no a priori sampling of the parameter space is required. Thus, the resulting model can identify a large amount of parameters, including the identification of local changes in the boundary conditions. The method is validated with a test setup in which an aluminum plate is attached to an acoustic cavity and the boundary conditions are varied gradually, by removing the bolts that are clamping the plate. By applying the proposed model updating scheme to the rotational stiffness along the edge in combination with an additional damping term, it is shown that the proposed method can detect which bolts are removed and also leads to a good match in the frequency response functions. Moreover, it is shown that these results are achieved in only a few minutes, in contrast to the same procedure with full order models.
Parametric model order reduction, model updating, Vibro-acoustics, Finite element method, low-rank parametric model order reduction, boundary conditions, Science & Technology, Technology, Engineering, Mechanical, Engineering, Model updating, Low-rank parametric model order reduction, Boundary conditions, SYSTEMS, 0905 Civil Engineering, 0913 Mechanical Engineering, 0915 Interdisciplinary Engineering, Acoustics, 4006 Communications engineering, 4017 Mechanical engineering
23-35
van Ophem, S.
bb3fb37e-577b-4152-86bc-2248943f882d
van de Walle, A.
64a19c30-2a27-4bda-9d85-5cc57d2fa618
Deckers, E.
d71b1075-d044-4486-b7af-9c2ee32f294f
Desmet, W.
deeaf534-7d83-4644-89cb-aa5fcfb5c73a
4 April 2018
van Ophem, S.
bb3fb37e-577b-4152-86bc-2248943f882d
van de Walle, A.
64a19c30-2a27-4bda-9d85-5cc57d2fa618
Deckers, E.
d71b1075-d044-4486-b7af-9c2ee32f294f
Desmet, W.
deeaf534-7d83-4644-89cb-aa5fcfb5c73a
van Ophem, S., van de Walle, A., Deckers, E. and Desmet, W.
(2018)
Efficient vibro-acoustic identification of boundary conditions by low-rank parametric model order reduction.
Mechanical Systems and Signal Processing, 111, .
(doi:10.1016/j.ymssp.2018.03.057).
Abstract
A novel method is presented that detects the proper boundary conditions of a test setup in a short time period by combing numerical models with experimental data. This allows for detection and localization of possible anomalies in the assumed boundary conditions of the system. The method works by combining a low-rank parametric model order reduction technique with a model updating strategy, where the boundary conditions of a numerical finite element model are updated by using frequency response function data. This combination makes it possible to update a large amount of parameters, because the assumed low-rank nature of the changes enables the use of non-parametric model order reduction techniques for the calculation of the reduced basis. This is possible, because the system can be rewritten in such a way that the parameter dependencies only show up in the feedforward matrix of the system, thus no a priori sampling of the parameter space is required. Thus, the resulting model can identify a large amount of parameters, including the identification of local changes in the boundary conditions. The method is validated with a test setup in which an aluminum plate is attached to an acoustic cavity and the boundary conditions are varied gradually, by removing the bolts that are clamping the plate. By applying the proposed model updating scheme to the rotational stiffness along the edge in combination with an additional damping term, it is shown that the proposed method can detect which bolts are removed and also leads to a good match in the frequency response functions. Moreover, it is shown that these results are achieved in only a few minutes, in contrast to the same procedure with full order models.
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More information
Accepted/In Press date: 30 March 2018
e-pub ahead of print date: 4 April 2018
Published date: 4 April 2018
Keywords:
Parametric model order reduction, model updating, Vibro-acoustics, Finite element method, low-rank parametric model order reduction, boundary conditions, Science & Technology, Technology, Engineering, Mechanical, Engineering, Model updating, Low-rank parametric model order reduction, Boundary conditions, SYSTEMS, 0905 Civil Engineering, 0913 Mechanical Engineering, 0915 Interdisciplinary Engineering, Acoustics, 4006 Communications engineering, 4017 Mechanical engineering
Identifiers
Local EPrints ID: 494967
URI: http://eprints.soton.ac.uk/id/eprint/494967
ISSN: 1096-1216
PURE UUID: 9899fdf4-b528-446b-a874-1d001cf173a7
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Date deposited: 24 Oct 2024 16:39
Last modified: 25 Oct 2024 02:08
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Contributors
Author:
S. van Ophem
Author:
A. van de Walle
Author:
E. Deckers
Author:
W. Desmet
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