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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 5, Pages 169–176
(Mi pmtf1960)
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This article is cited in 1 scientific paper (total in 1 paper)
Solution of contact problems on the basis of a refined theory of plates and shells
Yu. M. Volchkovab, D. V. Vazhevab a Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
Abstract:
Solutions of contact mixed boundary-value problems for a plate and for a cylindrical shell are given. These solutions are obtained with the use of equations for shells constructed by expanding solutions of elasticity theory equations with respect to the Legendre polynomials. Results of numerical simulations of the stress state in the vicinity of points with changing conditions on the frontal faces of the shell are presented. The results obtained are compared with analytical solutions of elasticity theory problems and with solutions obtained on the basis of the classical equations of the shell theory.
Keywords:
layered shells, Legendre polynomials, contact problems, stress-strain state.
Received: 30.07.2007
Citation:
Yu. M. Volchkov, D. V. Vazheva, “Solution of contact problems on the basis of a refined theory of plates and shells”, Prikl. Mekh. Tekh. Fiz., 49:5 (2008), 169–176; J. Appl. Mech. Tech. Phys., 49:5 (2008), 846–852
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https://www.mathnet.ru/eng/pmtf1960 https://www.mathnet.ru/eng/pmtf/v49/i5/p169
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