Regularization Methods Applied to Noisy Response from Beams under Static Loading
Publication: Journal of Engineering Mechanics
Volume 146, Issue 6
Abstract
The estimation of flexural stiffness from static loading test data is the basis of many methods assessing the condition of structural elements. These methods are usually developed under the assumption of having sufficiently accurate data available. Hence, their performance deteriorates as the differences between the measured and true values of the response, often denoted as noise, increase. The proposed methodology is specifically designed to mitigate errors derived from noisy static data when estimating flexural stiffness. It relies on the linearization of the equations relating displacements to stiffness through the unit-force theorem, combined with regularization tools such as L-curve and generalized cross-validation. The methodology is tested using theoretical simulations of the static response of a simply supported beam subjected to a 4-point flexural test for several levels of noise, two types of responses (deflections and rotations), and different levels of discretization. Recommendations for selecting the optimal regularization tool and parameter are provided. The use of rotations as inputs for predicting stiffness is shown to outperform deflections. Finally, the methodology is extended to a statically indeterminate beam.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request (MATLAB codes and data).
Acknowledgments
The authors would like to express their gratitude to the Spanish Government for their financial support toward this research under the Grant No. BIA2011-26915.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 146 • Issue 6 • June 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: May 17, 2019
Accepted: Dec 3, 2019
Published online: Mar 17, 2020
Published in print: Jun 1, 2020
Discussion open until: Aug 17, 2020
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