THE BENDING OF THREE-LAYER ELASTIC CORE WITH VARIABLE STIFF SHELL

Pleskachevsky Yu.M., The A.V. Luikov Heat and Mass Transfer Institute of NAS of Belarus, Minsk, the Republik of Belarus

Starovoytova E.E., the Belarusian State University of Transport, Gomel, the Republik of Belarus

The bending of three-layer elastic core with variable thickness of one of two stiff shells is considered. To describe kinematics of asymmetrical over thickness pack of the core the hypotheses of the broken normal are accepted. A system of equilibrium equations and its general analytical solution in terms of displacements haves been derived.

three-layer elastic core, asymmetrical over thickness pack

• Starovoytov E.I. Vjazkouprugoplasticheskie sloistye plastiny i obolochki [Viscoelasticoplastic layered plates and shells]. Gomel, BelSUT, 2002. 344 p.
• Gorshkov A.G., Starovoytov E.I., Yarovaya A.V. Mehanika sloistyh vjazkouprugoplasticheskih jelementov konstrukcij [Mechanics of viscoelasticoplastic layered elements of designs]. Moscow, FIZMATLIT, 2005. 576 p.
• Pleskachevskiy Y.M., Starovoytov E.I., Yarovaya A.V. Deformirovanie metallopolimernyh sistem [Deformation of Metal-Polymer Systems]. Minsk, Bel. navuka. 2004. 386 p.
• Pleskachevskiy Y.M., Starovoytov E.I., Yarovaya A.V. Dinamika metallopolimernyh sistem [Dynamics of Metal-Polymer Systems]. Minsk, Bel. navuka. 2004. 342 p.
• Starovoytov E.I., Yarovaya A.V., Leonenko D.V. Lokal'nye i impul'snye nagruzhenija trehslojnyh jelementov konstrukcij [Local and pulse loading of sandwich structural elements] Gomel, BelGUT, 2003. 367 p.
• Zhenqiang Cheng, Jemah A.K., Williams F.W. Theory for multilayered anisotropic plates with weakened interfaces. J. Appl. Mech., Trans. ASME, 1996, no. 4, pp. 1019-1026.
• Ebsioglu J.K. On the theory on sandwich panels in the reference state.  Internal. J. Eng-ng Sci., 1996, no. 6, pp. 166-194.
• Starovoytova E.E. Uravnenija ravnovesija uprugogo trehslojnogo sterzhnja s nereguljarnoj granicej [The equilibrium equations of the elastic three-layer bar with irregular boundary]. Dinamicheskie i tehnologicheskie problemy mehaniki konstrukcij i sploshnyh sred: tez. dokl. HIII Mezhdunar. Simpoz. [Dynamic and technological problems in mechanics of structures and continuous medium: theses of XIII Intern. Sympos.], Moscow, Izd-vo MAI, 2007, pp. 234-235.