Simulation-Based Classification; a Model-Order-Reduction Approach for Structural Health Monitoring

We present a model-order-reduction approach to simulation-based classification, with particular application to structural health monitoring. The approach exploits (1) synthetic results obtained by repeated solution of a parametrized mathematical model for different values of the parameters, (2) mach...

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Bibliographic Details
Main Authors: Yano, M., Taddei, Tommaso, Penn, James Douglass, Patera, Anthony T
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:English
Published: Springer Netherlands 2018
Online Access:http://hdl.handle.net/1721.1/115173
https://orcid.org/0000-0002-3134-3730
https://orcid.org/0000-0001-7882-2483
https://orcid.org/0000-0002-2631-6463
Description
Summary:We present a model-order-reduction approach to simulation-based classification, with particular application to structural health monitoring. The approach exploits (1) synthetic results obtained by repeated solution of a parametrized mathematical model for different values of the parameters, (2) machine-learning algorithms to generate a classifier that monitors the damage state of the system, and (3) a reduced basis method to reduce the computational burden associated with the model evaluations. Furthermore, we propose a mathematical formulation which integrates the partial differential equation model within the classification framework and clarifies the influence of model error on classification performance. We illustrate our approach and we demonstrate its effectiveness through the vehicle of a particular physical companion experiment, a harmonically excited microtruss.