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Optimal sensor and actuator placement for structural health monitoring via an efficient convex cost-benefit optimization

Cantero-Chinchilla, Sergio and Beck, James L. and Chiachío, Manuel and Chiachío, Juan and Chronopoulos, Dimitrios and Jones, Arthur (2020) Optimal sensor and actuator placement for structural health monitoring via an efficient convex cost-benefit optimization. Mechanical Systems and Signal Processing, 144 . Art. No. 106901. ISSN 0888-3270. https://resolver.caltech.edu/CaltechAUTHORS:20200427-094252410

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Abstract

The number and position of sensors and actuators are key decision variables that dictate the performance of any structural health monitoring system. This paper proposes choosing them optimally by using an objective function that combines a measure of parameter uncertainty, the expected information entropy, along with the cost of both sensors and actuators. The resulting optimization problem over discrete decision variables is computationally challenging, but here it is convexified by relaxing them into continuous variables, thus obtaining a significant reduction of the computational cost. The proposed approach is applied to ultrasonic guided-wave based inspection and is illustrated using two case studies with arbitrary geometries and different materials. The results demonstrate the high efficiency and accuracy of the convex optimization in trading-off uncertainty and cost in order to provide optimal sensor configurations in complex structures. As a key contribution, the proposed methodology allows us to include the actuators with the sensors in the optimization problem while still maintaining the efficiency of the minimization process. In the application to ultrasonic guided-waves, the optimal configurations lead to set-ups where the sensors and actuators are coincident in number and position.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.ymssp.2020.106901DOIArticle
ORCID:
AuthorORCID
Cantero-Chinchilla, Sergio0000-0002-6235-5304
Chiachío, Manuel0000-0003-4577-9380
Chiachío, Juan0000-0003-1243-8694
Chronopoulos, Dimitrios0000-0003-0186-8314
Additional Information:© 2020 Elsevier Ltd. Received 1 November 2019, Revised 6 April 2020, Accepted 11 April 2020, Available online 25 April 2020.
Subject Keywords:Optimal sensor configuration; Optimal actuator configuration; Entropy; Time of flight; Structural health monitoring; Guided waves
Record Number:CaltechAUTHORS:20200427-094252410
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200427-094252410
Official Citation:Sergio Cantero-Chinchilla, James L. Beck, Manuel Chiachío, Juan Chiachío, Dimitrios Chronopoulos, Arthur Jones, Optimal sensor and actuator placement for structural health monitoring via an efficient convex cost-benefit optimization, Mechanical Systems and Signal Processing, Volume 144, 2020, 106901, ISSN 0888-3270, https://doi.org/10.1016/j.ymssp.2020.106901. (http://www.sciencedirect.com/science/article/pii/S0888327020302879)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:102794
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:27 Apr 2020 16:59
Last Modified:27 Apr 2020 16:59

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