Modal decomposition and modal cluster decomposition on two-dimensional frequency domain (sensor placement based realization)

Yuichi Matsumura, Naoki Hosoya

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper describes the basic theory for modal decomposition and modal cluster decomposition on two-dimensional frequency domain, based on the two-dimensional Fourier transform of array sensor outputs. At first, the concept of modal cluster decomposition was introduced. Then, an objective function was derived to determine the sensor placement to place each modal cluster on any selected line in two-dimensional frequency domain. As a numerical example, the optimal sensor placement was computed for a simply supported beam in case the number of sensor is two. It is shown that this decomposition is used for suppressing several selected modal amplitudes, or placing each modal cluster on any selected line. Moreover there exists the sensor placement that is used for suppressing multiple modal cluster simultaneously.

Original languageEnglish
Pages (from-to)2485-2491
Number of pages7
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume72
Issue number8
Publication statusPublished - 2006 Aug
Externally publishedYes

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Decomposition
Sensors
Sensor arrays
Fourier transforms

Keywords

  • Cluster filter
  • Filter
  • Measurement
  • Modal analysis
  • Modal decomposition

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

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abstract = "This paper describes the basic theory for modal decomposition and modal cluster decomposition on two-dimensional frequency domain, based on the two-dimensional Fourier transform of array sensor outputs. At first, the concept of modal cluster decomposition was introduced. Then, an objective function was derived to determine the sensor placement to place each modal cluster on any selected line in two-dimensional frequency domain. As a numerical example, the optimal sensor placement was computed for a simply supported beam in case the number of sensor is two. It is shown that this decomposition is used for suppressing several selected modal amplitudes, or placing each modal cluster on any selected line. Moreover there exists the sensor placement that is used for suppressing multiple modal cluster simultaneously.",
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N2 - This paper describes the basic theory for modal decomposition and modal cluster decomposition on two-dimensional frequency domain, based on the two-dimensional Fourier transform of array sensor outputs. At first, the concept of modal cluster decomposition was introduced. Then, an objective function was derived to determine the sensor placement to place each modal cluster on any selected line in two-dimensional frequency domain. As a numerical example, the optimal sensor placement was computed for a simply supported beam in case the number of sensor is two. It is shown that this decomposition is used for suppressing several selected modal amplitudes, or placing each modal cluster on any selected line. Moreover there exists the sensor placement that is used for suppressing multiple modal cluster simultaneously.

AB - This paper describes the basic theory for modal decomposition and modal cluster decomposition on two-dimensional frequency domain, based on the two-dimensional Fourier transform of array sensor outputs. At first, the concept of modal cluster decomposition was introduced. Then, an objective function was derived to determine the sensor placement to place each modal cluster on any selected line in two-dimensional frequency domain. As a numerical example, the optimal sensor placement was computed for a simply supported beam in case the number of sensor is two. It is shown that this decomposition is used for suppressing several selected modal amplitudes, or placing each modal cluster on any selected line. Moreover there exists the sensor placement that is used for suppressing multiple modal cluster simultaneously.

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