Atomic norm minimization for modal analysis

Shuang Li; Dehui Yang; Michael B. Wakin

doi:10.1109/ICMEW.2016.7574693

Atomic norm minimization for modal analysis

Shuang Li, Dehui Yang, Michael B. Wakin

Colorado School of Mines

Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review

2 Citations (Scopus)

Abstract

Maintaining safely operable structures such as buildings and bridges requires periodic assessment of the health of the structure. We study the problem of identifying the characteristic modes and frequencies of a structure from small amounts of vibrational data collected from wireless sensors deployed across the structure. Using the recent technique of atomic norm minimization, we show that under certain conditions exact recovery of the mode shapes and frequencies is possible, and we survey several possible randomized sampling and compression schemes for minimizing the amount of data that is collected and transmitted by the sensors.

Original language	English
Title of host publication	2016 IEEE International Conference on Multimedia and Expo Workshop, ICMEW 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781509015528
DOIs	https://doi.org/10.1109/ICMEW.2016.7574693
Publication status	Published - 22 Sept 2016
Externally published	Yes
Event	2016 IEEE International Conference on Multimedia and Expo Workshop, ICMEW 2016 - Seattle, United States Duration: 11 Jul 2016 → 15 Jul 2016

Publication series

Name	2016 IEEE International Conference on Multimedia and Expo Workshop, ICMEW 2016

Conference

Conference	2016 IEEE International Conference on Multimedia and Expo Workshop, ICMEW 2016
Country/Territory	United States
City	Seattle
Period	11/07/16 → 15/07/16

Keywords

Atomic norm minimization
Modal analysis
Spectral analysis
Structural health monitoring

Access to Document

10.1109/ICMEW.2016.7574693

Cite this

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title = "Atomic norm minimization for modal analysis",

abstract = "Maintaining safely operable structures such as buildings and bridges requires periodic assessment of the health of the structure. We study the problem of identifying the characteristic modes and frequencies of a structure from small amounts of vibrational data collected from wireless sensors deployed across the structure. Using the recent technique of atomic norm minimization, we show that under certain conditions exact recovery of the mode shapes and frequencies is possible, and we survey several possible randomized sampling and compression schemes for minimizing the amount of data that is collected and transmitted by the sensors.",

keywords = "Atomic norm minimization, Modal analysis, Spectral analysis, Structural health monitoring",

author = "Shuang Li and Dehui Yang and Wakin, {Michael B.}",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 IEEE International Conference on Multimedia and Expo Workshop, ICMEW 2016 ; Conference date: 11-07-2016 Through 15-07-2016",

year = "2016",

month = sep,

day = "22",

doi = "10.1109/ICMEW.2016.7574693",

language = "English",

series = "2016 IEEE International Conference on Multimedia and Expo Workshop, ICMEW 2016",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2016 IEEE International Conference on Multimedia and Expo Workshop, ICMEW 2016",

}

Li, S, Yang, D & Wakin, MB 2016, Atomic norm minimization for modal analysis. in 2016 IEEE International Conference on Multimedia and Expo Workshop, ICMEW 2016., 7574693, 2016 IEEE International Conference on Multimedia and Expo Workshop, ICMEW 2016, Institute of Electrical and Electronics Engineers Inc., 2016 IEEE International Conference on Multimedia and Expo Workshop, ICMEW 2016, Seattle, United States, 11/07/16. https://doi.org/10.1109/ICMEW.2016.7574693

Atomic norm minimization for modal analysis. / Li, Shuang; Yang, Dehui; Wakin, Michael B.
2016 IEEE International Conference on Multimedia and Expo Workshop, ICMEW 2016. Institute of Electrical and Electronics Engineers Inc., 2016. 7574693 (2016 IEEE International Conference on Multimedia and Expo Workshop, ICMEW 2016).

Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review

TY - GEN

T1 - Atomic norm minimization for modal analysis

AU - Li, Shuang

AU - Yang, Dehui

AU - Wakin, Michael B.

PY - 2016/9/22

Y1 - 2016/9/22

N2 - Maintaining safely operable structures such as buildings and bridges requires periodic assessment of the health of the structure. We study the problem of identifying the characteristic modes and frequencies of a structure from small amounts of vibrational data collected from wireless sensors deployed across the structure. Using the recent technique of atomic norm minimization, we show that under certain conditions exact recovery of the mode shapes and frequencies is possible, and we survey several possible randomized sampling and compression schemes for minimizing the amount of data that is collected and transmitted by the sensors.

AB - Maintaining safely operable structures such as buildings and bridges requires periodic assessment of the health of the structure. We study the problem of identifying the characteristic modes and frequencies of a structure from small amounts of vibrational data collected from wireless sensors deployed across the structure. Using the recent technique of atomic norm minimization, we show that under certain conditions exact recovery of the mode shapes and frequencies is possible, and we survey several possible randomized sampling and compression schemes for minimizing the amount of data that is collected and transmitted by the sensors.

KW - Atomic norm minimization

KW - Modal analysis

KW - Spectral analysis

KW - Structural health monitoring

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DO - 10.1109/ICMEW.2016.7574693

M3 - Conference Proceeding

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T3 - 2016 IEEE International Conference on Multimedia and Expo Workshop, ICMEW 2016

BT - 2016 IEEE International Conference on Multimedia and Expo Workshop, ICMEW 2016

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T2 - 2016 IEEE International Conference on Multimedia and Expo Workshop, ICMEW 2016

Y2 - 11 July 2016 through 15 July 2016

ER -

Atomic norm minimization for modal analysis

Abstract

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Keywords

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