An Optimal Sensor Layout Using the Frequency Response Function Data within a Wide Range of Frequencies

This study presents iterative optimal sensor placement (OSP) techniques using the modal assurance criterion (MAC) and the effective independence (EI) algorithm. The algorithms use the proper orthogonal mode (POM) extracted from the frequency response functions (FRFs) of dynamic systems within a wide...

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Main Authors: Eun-Taik Lee, Hee-Chang Eun
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/22/10/3778
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author Eun-Taik Lee
Hee-Chang Eun
author_facet Eun-Taik Lee
Hee-Chang Eun
author_sort Eun-Taik Lee
collection DOAJ
description This study presents iterative optimal sensor placement (OSP) techniques using the modal assurance criterion (MAC) and the effective independence (EI) algorithm. The algorithms use the proper orthogonal mode (POM) extracted from the frequency response functions (FRFs) of dynamic systems within a wide range of frequencies. The FRF-based OSP method proposed in this study has the merit of reflecting dynamic characteristics, unlike the mode shape-based method. Evaluating the MAC values and the EI indices at each iteration, the DOFs of low contribution to the objective function of candidate sensor DOFs are deleted from master DOFs and moved to slave DOFs. This process is repeated until the sensor number corresponds with the master DOFs. The validity of the proposed methods is illustrated in an example, the sensor layouts by the proposed methods are compared, and the layout inconsistency between the MAC and the EI techniques is analyzed.
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spelling doaj.art-683785160f76496085e03b468a3738022023-11-23T13:01:01ZengMDPI AGSensors1424-82202022-05-012210377810.3390/s22103778An Optimal Sensor Layout Using the Frequency Response Function Data within a Wide Range of FrequenciesEun-Taik Lee0Hee-Chang Eun1Department of Architectural Engineering, Chung-Ang University, Seoul 06974, KoreaDepartment of Architectural Engineering, Kangwon National University, Chuncheon 24341, KoreaThis study presents iterative optimal sensor placement (OSP) techniques using the modal assurance criterion (MAC) and the effective independence (EI) algorithm. The algorithms use the proper orthogonal mode (POM) extracted from the frequency response functions (FRFs) of dynamic systems within a wide range of frequencies. The FRF-based OSP method proposed in this study has the merit of reflecting dynamic characteristics, unlike the mode shape-based method. Evaluating the MAC values and the EI indices at each iteration, the DOFs of low contribution to the objective function of candidate sensor DOFs are deleted from master DOFs and moved to slave DOFs. This process is repeated until the sensor number corresponds with the master DOFs. The validity of the proposed methods is illustrated in an example, the sensor layouts by the proposed methods are compared, and the layout inconsistency between the MAC and the EI techniques is analyzed.https://www.mdpi.com/1424-8220/22/10/3778optimal sensor placementmodel reductionmodal assurance criterioneffective independenceproper orthogonal decompositionfrequency response function
spellingShingle Eun-Taik Lee
Hee-Chang Eun
An Optimal Sensor Layout Using the Frequency Response Function Data within a Wide Range of Frequencies
Sensors
optimal sensor placement
model reduction
modal assurance criterion
effective independence
proper orthogonal decomposition
frequency response function
title An Optimal Sensor Layout Using the Frequency Response Function Data within a Wide Range of Frequencies
title_full An Optimal Sensor Layout Using the Frequency Response Function Data within a Wide Range of Frequencies
title_fullStr An Optimal Sensor Layout Using the Frequency Response Function Data within a Wide Range of Frequencies
title_full_unstemmed An Optimal Sensor Layout Using the Frequency Response Function Data within a Wide Range of Frequencies
title_short An Optimal Sensor Layout Using the Frequency Response Function Data within a Wide Range of Frequencies
title_sort optimal sensor layout using the frequency response function data within a wide range of frequencies
topic optimal sensor placement
model reduction
modal assurance criterion
effective independence
proper orthogonal decomposition
frequency response function
url https://www.mdpi.com/1424-8220/22/10/3778
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