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Computational Mechanics ’88 pp 24–28Cite as

Natural Frequencies of Thin Rectangular Orthotropic Plates Using the Edge Function Method

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Summary

The Edge Function Method is applied to the free vibration analysis of thin rectangularly orthotropic plates. Fundamental frequencies are obtained for a series of rectangular SCSC plates. A sequence of frequencies is presented for rectangular CSFS plates and computed boundary residuals are less than 0.01%.

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References

  1. Quinlan, P.M.; O’Callaghan, M.J.A.: The Edge-Function Method for Cracks, Cavities and Stress Concentrations in Elastostatics. Proc. 6th International Seminar on Boundary Element Methods, Ed. by Brebbia, C.A. (Boundary Elements VI), CMC Publications, Springer-Verlag, 1984

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  2. O’Callaghan, M.J.A.; Studdert, R.P.: The Edge-Function Method for the Free Vibrations of Thin Orthotropic Plates. Proc. 7th International Seminar on Boundary Element Methods, Ed. by Brebbia, C.A. (Boundary Elements VII), CMC Publications, Springer-Verlag, 1985

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  3. Leissa, A.W.: Vibration of Plates. NASA SP-160, 1969

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  4. Hearmon, R.F.S.: The Frequency of Flexural Vibration of Rectangular Orthotropic plates with Clamped or Supported Edges, J.Appl.Mechanics, (Trans. ASME), Vol. 81, Ser. E, 537–540, Dec. 1959

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  5. Huffington, N.J., Jr.; Hoppmann, W.H., II: On the Transverse Vibrations of Rectangular Orthotropic Plates. J.Appl.Mechanics, Vol.25, No.3, 389–395, Sept.1958; and J.Appl.Mechanics (Trans.ASME), Vol.81, Ser.E, 307–309, June, 1959.

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Author information

Authors and Affiliations

  1. University College, Cork, Ireland

    R. P. Studdert & M. J. A. O’Callaghan

Authors
  1. R. P. Studdert
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  2. M. J. A. O’Callaghan
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Editor information

Editors and Affiliations

  1. Center for the Advancement of Computational Mechanics, Georgia Institute of Technology, 30332, Atlanta, GA, USA

    S. N. Atluri

  2. Department of Nuclear Engineering, The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113, Japan

    G. Yagawa

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© 1988 Springer-Verlag Berlin Heidelberg

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Studdert, R.P., O’Callaghan, M.J.A. (1988). Natural Frequencies of Thin Rectangular Orthotropic Plates Using the Edge Function Method. In: Atluri, S.N., Yagawa, G. (eds) Computational Mechanics ’88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61381-4_7

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  • DOI: https://doi.org/10.1007/978-3-642-61381-4_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64818-2

  • Online ISBN: 978-3-642-61381-4

  • eBook Packages: Springer Book Archive

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