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Finite Amplitude Response of Circular Plates Subject to Dynamic Loading

  • W. A. Nash
  • H. Kanematsu
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Abstract

The nonlinear equations describing axisymmetric finite amplitude response of a thin elastic clamped edge circular plate to pulse loading are solved by finite difference techniques for the case of a spatially uniform load which time- wise is represented as a step function. Damping of the plate is considered.

Keywords

Circular Plate Elastic Plate Flexural Vibration Finite Amplitude Finite Difference Technique 
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References

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    Chu, H. N., Herrmann, G.: Influence of large amplitudes on free flexural vibrations of rectangular elastic plates. J. Appl. Mech., Trans. ASME, 23, 532–540 (1956).MathSciNetMATHGoogle Scholar
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    Yamaki, N.: Influence of large amplitudes on flexural vibrations of elastic plates. Z. angew. Math. Mech. 41, 501–510 (1961).MathSciNetMATHGoogle Scholar
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    Nash, W. A., Modeer, J. R.: Certain approximate analyses of the nonlinear behavior of plates and shallow shells. Proc. of the IUTAM Symposium on the Theory of Thin Elastic Shells, Amsterdam: North-Holland Publ. Co. 1960, pp. 331–354.Google Scholar
  4. 4.
    Bauer, H.: Nonlinear response of elastic plates to pulse excitations. J. Appl. Mech., Trans. ASME, 85, 47–52 (1968).CrossRefGoogle Scholar
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    Kornishin, M. S., Isanvaeva, F. S.: Flexible Plates and Shells, Moscow: Izd. “Nauka” 1968, 258 pages.Google Scholar

Copyright information

© Springer-Verlag, Berlin/Heidelberg 1971

Authors and Affiliations

  • W. A. Nash
    • 1
  • H. Kanematsu
    • 1
  1. 1.University of MassachusettsAmherstUSA

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