Mass-weighting methods for sensor placement using sensor set expansion techniques

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Title: Mass-weighting methods for sensor placement using sensor set expansion techniques
Authors: Kammer, Daniel C.1 Kammer@engr.wisc.edu, Peck, Jeffrey A.2
Source: Mechanical Systems & Signal Processing. Oct2008, Vol. 22 Issue 7, p1515-1525. 11p.
Subjects: Detectors, Guyan method, Mass measurement, Testing-machines, Business expansion, Statics
Abstract: Abstract: Placement of sensors is one of the most important tasks performed during pretest planning. The purpose of this work was to develop and investigate the use of an iterative Guyan expansion for mass weighting of target modes for sensor placement analogous to the common iterative Guyan reduction technique. The goal was to determine the appropriate mass-weighting approach to use in conjunction with effective independence sensor set expansion. In either sensor set expansion, or reduction, mass weighting requires a reduction of the FEM mass matrix to the current sensor set size Test-Analysis-Model (TAM). A general theory is presented for target mode mass weighting that can accommodate any type of reduction technique. The theory predicts that sensor set expansion using static mass weighting will result in sensor configurations that produce poor static TAMs. In contrast, sensor set expansion using modal mass weighting exactly reproduces the correct mass distribution during the expansion process. The results of a numerical example corroborate the theory. The modal mass sensor set expansion process produced significantly more accurate static TAMs than the static mass expansion. The modal expansion process was not quite as accurate as the iterative static reduction approach, but modal expansion was over 1600 times faster. [Copyright &y& Elsevier]
Copyright of Mechanical Systems & Signal Processing is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Mass-weighting methods for sensor placement using sensor set expansion techniques
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  Data: <searchLink fieldCode="AR" term="%22Kammer%2C+Daniel+C%2E%22">Kammer, Daniel C.</searchLink><relatesTo>1</relatesTo><i> Kammer@engr.wisc.edu</i><br /><searchLink fieldCode="AR" term="%22Peck%2C+Jeffrey+A%2E%22">Peck, Jeffrey A.</searchLink><relatesTo>2</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Mechanical+Systems+%26+Signal+Processing%22">Mechanical Systems & Signal Processing</searchLink>. Oct2008, Vol. 22 Issue 7, p1515-1525. 11p.
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  Data: <searchLink fieldCode="DE" term="%22Detectors%22">Detectors</searchLink><br /><searchLink fieldCode="DE" term="%22Guyan+method%22">Guyan method</searchLink><br /><searchLink fieldCode="DE" term="%22Mass+measurement%22">Mass measurement</searchLink><br /><searchLink fieldCode="DE" term="%22Testing-machines%22">Testing-machines</searchLink><br /><searchLink fieldCode="DE" term="%22Business+expansion%22">Business expansion</searchLink><br /><searchLink fieldCode="DE" term="%22Statics%22">Statics</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Abstract: Placement of sensors is one of the most important tasks performed during pretest planning. The purpose of this work was to develop and investigate the use of an iterative Guyan expansion for mass weighting of target modes for sensor placement analogous to the common iterative Guyan reduction technique. The goal was to determine the appropriate mass-weighting approach to use in conjunction with effective independence sensor set expansion. In either sensor set expansion, or reduction, mass weighting requires a reduction of the FEM mass matrix to the current sensor set size Test-Analysis-Model (TAM). A general theory is presented for target mode mass weighting that can accommodate any type of reduction technique. The theory predicts that sensor set expansion using static mass weighting will result in sensor configurations that produce poor static TAMs. In contrast, sensor set expansion using modal mass weighting exactly reproduces the correct mass distribution during the expansion process. The results of a numerical example corroborate the theory. The modal mass sensor set expansion process produced significantly more accurate static TAMs than the static mass expansion. The modal expansion process was not quite as accurate as the iterative static reduction approach, but modal expansion was over 1600 times faster. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mechanical Systems & Signal Processing is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.ymssp.2008.01.002
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 11
        StartPage: 1515
    Subjects:
      – SubjectFull: Detectors
        Type: general
      – SubjectFull: Guyan method
        Type: general
      – SubjectFull: Mass measurement
        Type: general
      – SubjectFull: Testing-machines
        Type: general
      – SubjectFull: Business expansion
        Type: general
      – SubjectFull: Statics
        Type: general
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      – TitleFull: Mass-weighting methods for sensor placement using sensor set expansion techniques
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            NameFull: Kammer, Daniel C.
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            NameFull: Peck, Jeffrey A.
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            – D: 01
              M: 10
              Text: Oct2008
              Type: published
              Y: 2008
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              Value: 22
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              Value: 7
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