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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  • 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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Description

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.

Physical Description

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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Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • July 16, 1999

Added to The UNT Digital Library

  • Dec. 19, 2015, 7:14 p.m.

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  • April 12, 2017, 1:16 p.m.

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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. (digital.library.unt.edu/ark:/67531/metadc793725/: accessed July 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.