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)


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.


Nash NASH 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    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
  2. 2.
    Yamaki, N.: Influence of large amplitudes on flexural vibrations of elastic plates. Z. angew. Math. Mech. 41, 501–510 (1961).MathSciNetMATHGoogle Scholar
  3. 3.
    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
  5. 5.
    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

Personalised recommendations