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IssuesArchive of Issues2012-1pp.111-118

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D.V. Leonenko and E.I. Starovoitov, "Thermal Impact on a Circular Sandwich Plate on an Elastic Foundation," Mech. Solids. 47 (1), 111-118 (2012)
Year 2012 Volume 47 Number 1 Pages 111-118
DOI 10.3103/S0025654412010116
Title Thermal Impact on a Circular Sandwich Plate on an Elastic Foundation
Author(s) D.V. Leonenko (Belarusian State University of Transport, Kirova 34, Gomel, 246653 Republic of Belarus, leoden@tut.by)
E.I. Starovoitov (Belarusian State University of Transport, Kirova 34, Gomel, 246653 Republic of Belarus, edstar@mail.by)
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.
Keywords thermoelasticity, dynamics, sandwich plate, lightweight core, elastic foundation, natural vibrations
References
1.  A. G. Gorshkov, E. I. Starovoitov and A. V. Yarovaya, Mechanics of Layered Viscoelastoplastic Structural Elements (Fizmatlit, Moscow, 2005) [in Russian].
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).
4.  E. I. Starovoitov, A. V. Yarovaya, and D. V. Leonenko, Local and Pulse Loadings of Structural Sandwich Elements (BelGUT, Gomel, 2003) [in Russian].
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 Reference State," Int. J. Engng Sci. 2 (6), 549-564 (1965).
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].
8.  D. V. Leonenko and E. I. Starovoitov, "Thermoplastic Strain of Circular 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].
11.  H. Bateman and A. Erdélyi, Higher Transcendental Functions, Vol. 2 (McGraw-Hill, New York, 1953; Nauka, Moscow, 1966).
Received 23 September 2009
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