Skip to main content
SpringerLink
Log in

Resonance Vibrations of a Circular Composite Plates on an Elastic Foundation

  • Published:
Mechanics of Composite Materials Aims and scope

The axisymmetric resonance vibrations of a circular elastic composite plate on an elastic foundation under the action of periodic local surface loads of rectangular, sinusoidal, and parabolic form are investigated. To describe the kinematics of the package, asymmetric across its thickness, the hypotheses of broken normal are assumed. The response of the foundation is described based on the Winkler model. The filler is light. Analytical solutions of the corresponding initial-boundary-value problems are found, and their numerical-comparative analysis is carried out.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. S. Mirsa and A. V. Singh, “Axisymmetric vibration of circular sandwich plates,” AIAA J., 12, No. 10, 1418-1420 (1974).

    Article  Google Scholar 

  2. E. I. Starovoytov, A. V. Yarovaya, and D. V. Leonenko, Local and Pulse Loading of Sandwich Structural Elements [in Russian], Bel. GUT, Gomel (2003).

  3. N. A. Abrosimov, “Numerical study of the axisymmetric deformation of composite shells of revolution under shock loads,” Mech. Compos. Mater., 23, No. 4, 447-453 (1987).

    Article  Google Scholar 

  4. A. G. Gorshkov, E. I. Starovoytov, and A. V. Yarovaya, Mechanics of Layered Viscoelastoplastic Structural Elements [in Russian], Fizmatgiz, Moscow (2005).

  5. V. K. Prisyazhnyuk and V. G. Piskunov, “Model of composite shallow shells and plates for solving problems of statics, dynamics, and contact interaction,” Mech. Compos. Mater., No. 6, 719-726 (1987).

  6. E. I. Starovoytov, A. V. Yarovaya, and D. V. Leonenko, Deformation of Sandwich Elements of Structures on an Elastic Foundation [in Russian], Fizmatlit, Moscow (2006).

  7. E. I. Starovoytov, D. V. Leonenko, and M. Suleymanov, “Deformation of a composite plate on an elastic foundation by local loads,” Mech. Compos. Mater., 43, No. 1, 75-84 (2007).

    Article  Google Scholar 

  8. E. I. Starovoytov, E. P. Dorovskaya, and S. A. Starovoytov, “Cylindrical bending of an elastic rectangular sandwich plate on a deformable foundation,” Mech. Compos. Mater., 46, No. 1, 57-68 (2010).

    Article  Google Scholar 

  9. E. I. Starovoytov and D. V. Leonenko, “Thermoelastic bending of a circular sandwich plate on an elastic foundation,” Prikl. Mekh., 44, No. 9, 94-103 (2008).

    Google Scholar 

  10. E. I. Starovoytov and D. V. Leonenko, “Impact of thermal and ionizing radiation on a circular sandwich plate on an elastic foundation,” Int. Appl. Mech., 47, Nо. 5, 580-589 (2011).

    Article  Google Scholar 

  11. E. I. Starovoytov and F. B. Nagiyev, Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity, Apple Academic Press, Toronto, New Jersey (2012).

    Google Scholar 

  12. E. Kamke, Differentialgleichungen, Lösungsmethoden und Lösungen, I. Akademishe Verlagsgesellschaf, Leipzig (1961).

  13. H. Bateman and A. Erdelyi, Higher Transcendental Functions. Vol. 2, Nauka, Moscow (1966)

Download references

Acknowledgments

This study was supported by the Russian Scientific Fund (project 14-49-00091).

Author information

Authors and Affiliations

  1. Belarusian State University of Transport, Gomel, Belarus

    E. I. Starovoitov & D. V. Leonenko

  2. Research Institute of Mechanics, Lomonosov Moscow State University, Moscow, Russia

    D. V. Tarlakovsky

Authors
  1. E. I. Starovoitov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. V. Leonenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. V. Tarlakovsky
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. I. Starovoitov.

Additional information

Translated from Mekhanika Kompozitnykh Materialov, Vol. 51, No. 5, pp. 793-806 , September-October, 2015.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Starovoitov, E.I., Leonenko, D.V. & Tarlakovsky, D.V. Resonance Vibrations of a Circular Composite Plates on an Elastic Foundation. Mech Compos Mater 51, 561–570 (2015). https://doi.org/10.1007/s11029-015-9527-2

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11029-015-9527-2

Keywords

Search

Navigation