International Applied Mechanics

, Volume 46, Issue 1, pp 86–93 | Cite as

Resonant effects of local loads on circular sandwich plates on an elastic foundation


The axisymmetric forced vibrations of a circular sandwich plate on an elastic foundation are studied. The plate is subjected to axisymmetric surface and mechanical loads with frequency equal to one of the natural frequencies of the plate. The foundation reaction is described by the Winkler model. To describe the kinematics of an asymmetric sandwich, the hypothesis of broken normal is used. The core is assumed to be light. The analytical solution of the problem is obtained and numerical results are analyzed


circular sandwich plate axisymmetric forced vibrations Winkler elastic foundation axisymmetric surface mechanical load 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    H. Bateman and A. Erdelyi, Higher Transcendental Functions, McGraw-Hill, New York (1953).Google Scholar
  2. 2.
    E. I. Grigolyuk, A. G. Gorshkov, and F. A. Kogan, “Dynamic bending of circular three-layer plates with a compressible filler,” Int. Appl. Mech., 14, No. 1, 56–67 (1978).Google Scholar
  3. 3.
    E. Kamke, Handbook of Ordinary Differential Equations [in German], Chelsea, New York (1974).Google Scholar
  4. 4.
    V. G. Piskunov, “Problem of nonlinear oscillations of laminated plates,” Int. Appl. Mech., 13, No. 1, 88–91 (1977).Google Scholar
  5. 5.
    E. I. Starovoitov, D. V. Leonenko, and A. V. Yarovaya, “Vibrations of circular sandwich plates under resonance loads,” Int. Appl. Mech., 39, No. 12, 1458–1463 (2003).CrossRefGoogle Scholar
  6. 6.
    E. I. Starovoitov, A. V. Yarovaya, and D. V. Leonenko, Deformation of Sandwich Structures on an Elastic Foundation [in Russian], Fizmatlit, Moscow (2006).Google Scholar
  7. 7.
    E. I. Starovoitov, A. V. Yarovaya, and D. V. Leonenko, Local and Impulsive Loading of Sandwich Structures [in Russian], BelGUT, Gomel (2003).Google Scholar
  8. 8.
    V. D. Kubenko, Yu. V. Pleskachevskii, E. I. Starovoitov, and D. V. Leonenko, “Natural vibrations of a beam on an elastic foundation,” Int. Appl. Mech., 42, No. 5, 541–547 (2006).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.Belarus State University of TransportGomelBelarus246653

Personalised recommendations