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Application of BEM to the Linear Buckling Problem of Thin Elastic Plates

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Computational Mechanics ’95

Abstract

In recent years, it is very important to investigate the stability of mechanical structures. Thin elastic plates are popularly used as structural components. This paper presents an integral equation formulation for the linear buckling problem of thin elastic plates, and proposes a solution procedure based on the boundary-domain element method.

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References

  1. Tanaka, M., Sladek, V. and Sladek, J., Regularization techniques applied to boundary element methods, Appl. Mech. Rev., Vol.47, No. 10 (1994), pp.457–499.

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  2. Matsumoto, T., Tanaka, M. and Hondoh, K. Some nonsingular direct formulations of boundary integral equations for thin elastic plate bending analysis, Appl. Math. Modeling, Vol.17, (1993), pp.586–594.

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  3. Bezine, G., Cimetiere, A., and Gelbert, J. P., Unilateral buckling of thin elastic plates by the boundary integral equation method, Int. J. Num. Meths. Eng., 21, (1980), 2189–2199.

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  4. Tanaka, M. and Miyazaki, K., A boundary element method for elastic buckling analysis of assembled plate structures, Computational Mechanics, Vol.3, (1988), pp.49–57.

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  5. Timoshenko, S. P., and Gere, J. M., Theory of Elastic Stability, McGraw-Hill, New York, (1961), Chapt. 9.

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Author information

Authors and Affiliations

  1. Faculty of Engineering, Shinshu University, Nagano 380, Japan

    Masa. Tanaka, T. Matsumoto & K. Yamamoto

Authors
  1. Masa. Tanaka
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  2. T. Matsumoto
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  3. K. Yamamoto
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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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Tanaka, M., Matsumoto, T., Yamamoto, K. (1995). Application of BEM to the Linear Buckling Problem of Thin Elastic Plates. 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_449

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  • DOI: https://doi.org/10.1007/978-3-642-79654-8_449

  • 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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