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

Cantero-Chinchilla, Sergio; Beck, James L.; Chiach�o, Manuel; Chiach�o, Juan; Chronopoulos, Dimitrios; Jones, Arthur

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


Authors

Sergio Cantero-Chinchilla

James L. Beck

Manuel Chiach�o

Juan Chiach�o

Dimitrios Chronopoulos

Arthur Jones



Abstract

© 2020 Elsevier Ltd 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.

Citation

Cantero-Chinchilla, S., Beck, J. L., Chiachío, M., Chiachío, J., Chronopoulos, D., & Jones, A. (2020). Optimal sensor and actuator placement for structural health monitoring via an efficient convex cost-benefit optimization. Mechanical Systems and Signal Processing, 144, Article 106901. https://doi.org/10.1016/j.ymssp.2020.106901

Journal Article Type Article
Acceptance Date Apr 11, 2020
Online Publication Date Apr 25, 2020
Publication Date Oct 1, 2020
Deposit Date Apr 30, 2020
Publicly Available Date Mar 29, 2024
Journal Mechanical Systems and Signal Processing
Print ISSN 0888-3270
Electronic ISSN 1096-1216
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 144
Article Number 106901
DOI https://doi.org/10.1016/j.ymssp.2020.106901
Keywords Control and Systems Engineering; Signal Processing; Mechanical Engineering; Civil and Structural Engineering; Aerospace Engineering; Computer Science Applications
Public URL https://nottingham-repository.worktribe.com/output/4366136
Publisher URL https://www.sciencedirect.com/science/article/abs/pii/S0888327020302879
Additional Information This article is maintained by: Elsevier; Article Title: Optimal sensor and actuator placement for structural health monitoring via an efficient convex cost-benefit optimization; Journal Title: Mechanical Systems and Signal Processing; CrossRef DOI link to publisher maintained version: https://doi.org/10.1016/j.ymssp.2020.106901; Content Type: article; Copyright: © 2020 Elsevier Ltd. All rights reserved.