Skip to main content
Log in

Thermal impact on a circular sandwich plate on an elastic foundation

  • Published:
Mechanics of Solids Aims and scope Submit manuscript

Abstract

Symmetric transverse vibrations of a circular metal-polymer sandwich plate under a thermal impact are studied. The plate is connected with an inertialess Winkler foundation. The facesheets are assumed to satisfy the Kirchhoff hypothesis and the deformed normal in the low-density core is rectilinear and incompressible across thickness. Analytical solutions are obtained and their numerical analysis is given.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

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

    Google Scholar 

  2. E. I. Starovoitov and A. V. Yarovaya, “Viscoelastoplastic Sandwich Bar under Thermoforce Loadings,” Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 109–116 (1998) [Mech. Solids (Engl. Transl.) 33 (3), 87–93 (1998)].

  3. Zhen-Qiang Cheng, A. K. Jemah, and F. W. Williams, “Theory for Multilayered Anisotropic Plates with Weakened Interfaces,” Trans. ASME. J. Appl. Mech. 63(4), 1019–1026 (1996).

    Article  ADS  MATH  Google Scholar 

  4. E. I. Starovoitov, A. V. Yarovaya, and D. V. Leonenko, Local and Pulse Loadings of Structural Sandwich Elements (BelGUT, Gomel, 2003) [in Russian].

    Google Scholar 

  5. A. G. Gorshkov, E. I. Starovoitov, and A. V. Yarovaya, “Harmonic Loading of Laminated Viscoelastoplastic Systems,” Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 6, 91–98 (2000) [Mech. Solids (Engl. Transl.) 35 (6), 75–81 (2000)].

  6. I. K. Ebcioglu, “On the Theory of Sandwich Panels in the ReferenceState,” Int. J. Engng Sci. 2(6), 549–564 (1965).

    Article  MATH  Google Scholar 

  7. E. I. Starovoitov, A. V. Yarovaya, and D. V. Leonenko, Deformation of Three-Layer Structural Elements on Elastic Foundations (Fizmatlit, Moscow, 2006) [in Russian].

    Google Scholar 

  8. D.V. Leonenko and E. I. Starovoitov, “Thermoplastic Strain ofCircular Sandwich Plates on an Elastic Base,” Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 106–119 (2009) [Mech. Solids (Engl. Transl.) 44 (5), 744–755 (2009)].

  9. E. I. Starovoitov, V. D. Kubenko, and D. V. Tarlakovskii, “Vibrations of Circular Sandwich Plates Connected with an Elastic Foundation,” Izv. Vyssh. Uchebn. Zaved. Aviats. Tekhnika, No. 2, 16–19 (2009).

  10. E. Kamke, Handbook on Ordinary Differential Equations (Nauka, Moscow, 1976) [in Russian].

    Google Scholar 

  11. H. Bateman and A. Erdélyi, Higher Transcendental Functions, Vol. 2 (McGraw-Hill, New York, 1953; Nauka, Moscow, 1966).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. V. Leonenko.

Additional information

Original Russian Text © D.V. Leonenko, E.I. Starovoitov, 2012, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2012, No. 1, pp. 141–149.

About this article

Cite this article

Leonenko, D.V., Starovoitov, E.I. Thermal impact on a circular sandwich plate on an elastic foundation. Mech. Solids 47, 111–118 (2012). https://doi.org/10.3103/S0025654412010116

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0025654412010116

Keywords

Navigation