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Orthogonality for Modal Vector Correlation: The Effects of Removing Degrees-of-Freedom

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Topics in Model Validation and Uncertainty Quantification, Volume 5

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Abstract

This paper reviews the weighted orthogonality property of modal vectors, the many Test-Analysis Model (TAM) transforms that have been developed to reduce Finite Element Model (FEM) based mass matrices and the Modal Assurance Criterion (MAC). These associated technologies have all been developed to try and correlate the FEM and experimentally obtained mode shapes. A case study is presented where the Effective Independence method for Degree-of-Freedom (DOF) selection was used to systematically reduce the DOF’s of the FEM and understand the effects of DOF reduction on MAC, the Guyan TAM and the System Equivalent Reduction/Expansion Process (SEREP) TAM.

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Authors and Affiliations

  1. Brüel and Kjær, North America, 8180 Corporate Park Drive, Suite 310, Cincinnati, OH, 45242, USA

    Michael L. Mains

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  1. Michael L. Mains
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Correspondence to Michael L. Mains .

Editor information

Editors and Affiliations

  1. Sandia National Laboratories, Albuquerque, 87185-0557, New Mexico, USA

    Todd Simmermacher

  2. , CNRS, University of Franche-Comte, Besançon, France

    Scott Cogan

  3. , Department of Civil and Envt. Eng., Tufts University, Anderson Hall, Medford, 02155, Massachusetts, USA

    Babak Moaveni

  4. , Department of Mech. & Industrial Eng., University of Thessaly, Leoforos Athinon, Pedion Areos, Volos, GR-383 34, Greece

    Costas Papadimitriou

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© 2013 The Society for Experimental Mechanics, Inc.

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Mains, M.L. (2013). Orthogonality for Modal Vector Correlation: The Effects of Removing Degrees-of-Freedom. In: Simmermacher, T., Cogan, S., Moaveni, B., Papadimitriou, C. (eds) Topics in Model Validation and Uncertainty Quantification, Volume 5. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6564-5_13

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  • DOI: https://doi.org/10.1007/978-1-4614-6564-5_13

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-6563-8

  • Online ISBN: 978-1-4614-6564-5

  • eBook Packages: EngineeringEngineering (R0)

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