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Error Estimation for General Finite Element Eigenvalue Problems

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Computational Mechanics ’95

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Abstract

The solution to a finite element analysis involving an eigenvalue/eigenvector extrapolation generally requires the eigenvalue solution as the design parameter. The eigenvector solution merely gives a visual representation of the deforming structure. Buckling and free vibration analyses are of this type, where the eigenvalue is related to the buckling load factor and natural frequency of the structure respectively. The eigenvector shows the buckled or vibrating shape of the structure.

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References

  1. D. B. STEPHEN AND G.P. STEVEN, Buckling Error Estimation Using a Patch Recovery Technique. Int. J. Num. Methods Engg, Submitted August 1994.

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  2. D. B. STEPHEN AND G. P. STEVEN, Natural Frequency Error Estimation Using a Patch Recovery Technique. Int. J. Num. Methods Engg, Submitted October 1994.

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  6. D. B. STEPHEN AND G. P. STEVEN, Error Estimation for Plate Vibration Elements. Engineering Computations, Submitted October 1994.

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Author information

Authors and Affiliations

  1. The University of Sydney, Australia

    D. B. Stephen & G. P. Steven

Authors
  1. D. B. Stephen
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  2. G. P. Steven
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Editor information

Editors and Affiliations

  1. Computational Modeling Center, Georgia Institute of Technology, Atlanta, GA, 30332-0356, USA

    S. N. Atluri

  2. Department of Quantum Engineering & Systems Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan

    G. Yagawa

  3. Department of Mechanical Engineering, Vanderbilt University, P.O. Box 1592, Station B, Nashville, TN, 37235, USA

    Thomas Cruse

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© 1995 Springer-Verlag Berlin Heidelberg

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Stephen, D.B., Steven, G.P. (1995). Error Estimation for General Finite Element Eigenvalue Problems. In: Atluri, S.N., Yagawa, G., Cruse, T. (eds) Computational Mechanics ’95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79654-8_19

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  • DOI: https://doi.org/10.1007/978-3-642-79654-8_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79656-2

  • Online ISBN: 978-3-642-79654-8

  • eBook Packages: Springer Book Archive

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