Extraction of Substructural Flexibility from Global Frequencies and Mode Shapes

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A computational procedure for extracting substructure-by-substructure flexibility properties from global modal parameters is presented. The present procedure consists of two key features: an element-based direct flexibility method which uniquely determines the global flexibility without resorting to case-dependent redundancy selections; and, the projection of cinematically inadmissible modes that are contained in the iterated substructural matrices. The direct flexibility method is used as the basis of an inverse problem, whose goal is to determine substructural flexibilities given the global flexibility, geometrically-determined substructural rigid-body modes, and the local-to-global assembly operators. The resulting procedure, given accurate global flexibility, extracts the exact element-by-element substructural flexibilities … continued below

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32 p.

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Alvin, K. F. & Park, K. C. July 16, 1999.

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This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by the UNT Libraries Government Documents Department to the UNT Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 55 times. More information about this article can be viewed below.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM, and Livermore, CA (United States)
    Place of Publication: Albuquerque, New Mexico

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A computational procedure for extracting substructure-by-substructure flexibility properties from global modal parameters is presented. The present procedure consists of two key features: an element-based direct flexibility method which uniquely determines the global flexibility without resorting to case-dependent redundancy selections; and, the projection of cinematically inadmissible modes that are contained in the iterated substructural matrices. The direct flexibility method is used as the basis of an inverse problem, whose goal is to determine substructural flexibilities given the global flexibility, geometrically-determined substructural rigid-body modes, and the local-to-global assembly operators. The resulting procedure, given accurate global flexibility, extracts the exact element-by-element substructural flexibilities for determinate structures. For indeterminate structures, the accuracy depends on the iteration tolerance limits. The procedure is illustrated using both simple and complex numerical examples, and appears to be effective for structural applications such as damage localization and finite element model reconciliation.

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32 p.

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OSTI as DE00009028

Medium: P; Size: 32 pages

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  • Journal Name: AIAA Journal; Other Information: Submitted to AIAA Journal

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  • Report No.: SAND99-1808J
  • Grant Number: AC04-94AL85000
  • Office of Scientific & Technical Information Report Number: 9028
  • Archival Resource Key: ark:/67531/metadc793725

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  • July 16, 1999

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  • Dec. 19, 2015, 7:14 p.m.

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  • Dec. 13, 2022, noon

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Alvin, K. F. & Park, K. C. Extraction of Substructural Flexibility from Global Frequencies and Mode Shapes, article, July 16, 1999; Albuquerque, New Mexico. (https://digital.library.unt.edu/ark:/67531/metadc793725/: accessed October 13, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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