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A New Direct Method for Updating Mass and Stiffness Matrices with No Spillover

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Vibration Engineering and Technology of Machinery

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 23))

Abstract

A direct method for model updating of mass and stiffness matrices of structures without spillover is presented, which requires the knowledge of only the few eigenpairs to be updated of the original undamped model. Upon a necessary and sufficient condition, proposed previously by authors, for the incremental mass and stiffness matrices that modify some eigenpairs while keeping other eigenpairs unchanged, the finite element model updating problem that preserves symmetry and avoids spillover is formulated as a semi-definite programming problem, which can be efficiently solved by existing semi-definite programming algorithms. Numerical examples are given to demonstrate the accuracy and effectiveness of the presented updating method.

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Author information

Authors and Affiliations

  1. School of Mechanical Engineering, Wuhan Polytechnic University, Wuhan, 430023, China

    Jiafan Zhang & Jun Yang

  2. School of Engineering, University of Liverpool, Liverpool, L69 3GH, UK

    Huajiang Ouyang

Authors
  1. Jiafan Zhang
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  2. Huajiang Ouyang
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  3. Jun Yang
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Corresponding author

Correspondence to Huajiang Ouyang .

Editor information

Editors and Affiliations

  1. School of Mechanical, Aerospace and Civil Engineering (MACE), The University of Manchester, Manchester, United Kingdom

    Jyoti K. Sinha

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© 2015 Springer International Publishing Switzerland

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Zhang, J., Ouyang, H., Yang, J. (2015). A New Direct Method for Updating Mass and Stiffness Matrices with No Spillover. In: Sinha, J. (eds) Vibration Engineering and Technology of Machinery. Mechanisms and Machine Science, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-319-09918-7_54

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  • DOI: https://doi.org/10.1007/978-3-319-09918-7_54

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09917-0

  • Online ISBN: 978-3-319-09918-7

  • eBook Packages: EngineeringEngineering (R0)

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