Uncorrelated Modes Driven Inverse Eigensensitivity Method for Finite Element Model Updating.

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Title: Uncorrelated Modes Driven Inverse Eigensensitivity Method for Finite Element Model Updating.
Authors: Modak, S. V.1
Source: AIAA Journal. Jun2015, Vol. 53 Issue 6, p1468-1476. 9p.
Subjects: Finite element method, Mathematical models, Eigenvalues, Eigenvectors, Iterative methods (Mathematics)
Abstract: The inverse eigensensitivity method is one of the most widely used approaches for finite element model updating. One of the requirements for updating using this approach is that the correspondence between the experimental and the analytical modes must be known. However, at times, it may not always be possible to establish with certainty, for some analytical modes, to which experimental modes they correlate or correspond. Eigenvalues and eigenvectors of such modes cannot be used in the updating process, and this represents a drawback of the inverse eigensensitivity method and other iterative methods based on the modal data. If a finite element model has an excessive modeling error, then the correlated mode pairs may not remain stable during the updating process and may undergo changes. This situation also cannot be handled effectively using the current techniques that implicitly assume stability of the mode pairs. This paper presents a new method, the uncorrelated-modes-driven inverse eigensensitivity method, that allows both the correlated as well as the uncorrelated modes to be used in the updating process and addresses the aforementioned shortcomings. Two numerical studies and an experimental study are presented to show the ability of the proposed method to accurately estimate the updating parameters and identify the correct mode pairs. [ABSTRACT FROM AUTHOR]
Copyright of AIAA Journal is the property of American Institute of Aeronautics & Astronautics 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: The inverse eigensensitivity method is one of the most widely used approaches for finite element model updating. One of the requirements for updating using this approach is that the correspondence between the experimental and the analytical modes must be known. However, at times, it may not always be possible to establish with certainty, for some analytical modes, to which experimental modes they correlate or correspond. Eigenvalues and eigenvectors of such modes cannot be used in the updating process, and this represents a drawback of the inverse eigensensitivity method and other iterative methods based on the modal data. If a finite element model has an excessive modeling error, then the correlated mode pairs may not remain stable during the updating process and may undergo changes. This situation also cannot be handled effectively using the current techniques that implicitly assume stability of the mode pairs. This paper presents a new method, the uncorrelated-modes-driven inverse eigensensitivity method, that allows both the correlated as well as the uncorrelated modes to be used in the updating process and addresses the aforementioned shortcomings. Two numerical studies and an experimental study are presented to show the ability of the proposed method to accurately estimate the updating parameters and identify the correct mode pairs. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of AIAA Journal is the property of American Institute of Aeronautics & Astronautics 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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        Value: 10.2514/1.J053356
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        Text: English
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        PageCount: 9
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    Subjects:
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Mathematical models
        Type: general
      – SubjectFull: Eigenvalues
        Type: general
      – SubjectFull: Eigenvectors
        Type: general
      – SubjectFull: Iterative methods (Mathematics)
        Type: general
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      – TitleFull: Uncorrelated Modes Driven Inverse Eigensensitivity Method for Finite Element Model Updating.
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              Text: Jun2015
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