Finite Element Model Updating Using Cross-Entrophy

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Title: Finite Element Model Updating Using Cross-Entrophy
Authors: Dowling, Jason
González, Arturo
O'Brien, Eugene J.
Walsh, Brian J.
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Date: 2010
Online since: 2013-03-13T17:20:53Z
Abstract: This paper presents the potential of the cross-entropy method to surmise the properties of a simply supported beam using as input the response of the structure to a moving load. The beam model is discretised into a number of elementary beams with assumed initial statistical distributions of stiffness. Then, an optimisation procedure based on cross-entropy is employed to minimise differences between simulated measurements and the results of the theoretical finite element beam model. The procedure consists of generating a large sample of stiffness distributions for each elementary beam, and selecting those fitting the measured response best. Then, the parameters of the statistical distribution of stiffness assumed for each elementary beam (mean and standard deviation) are updated using the stiffness values of those combinations of elementary beams giving a best solution. It is an iterative procedure where the mean value of each distribution tends towards the true stiffness in successive iterations. The level of accuracy is limited by the quantity and quality of the available measurements. Therefore, the standard deviation of the final stiffness for each beam element (once further iterations do not lead to a reduction of the error) provides an estimation of the reliability of the prediction. Here, the method is demonstrated for the characterisation of the stiffness distribution of a beam from the simulated response to a moving load. First, deflections are calculated using a finite element beam model with assumed initial stiffness properties. There will be a record of simulated responses per measurement point that cross-entropy will try to imitate by adjusting and improving estimations of stiffness in successive iterations. The results show cross-entropy can be used as a valuable tool to estimate structural parameters and it has huge scope for applications in model calibration, bridge weigh-in-motion and monitoring.
Type of material: Conference Publication
Publisher: BCRI
Copyright (published version): 2010, BCRI
Keywords: Finite-Element UpdatingCross-Entropy
Language: en
Status of Item: Not peer reviewed
Is part of: Ni Nualláin, N.A. et al. (eds.) Bridge & Infrastructure Research in Ireland 2010
Conference Details: Bridge & Infrastructure Research in Ireland 2010, Cork Institute of Technology, September 2010
Appears in Collections:Civil Engineering Research Collection

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