Solution the problem of deformation thermoelastic plate by rapid expansions
https://doi.org/10.20914/2310-1202-2013-2-84-89
Abstract
Consider a mathematical model for thermoelastic plate with free support edges. It is shown that the problem with the rapid degradation is reduced to a closed algebraic system of linear equations and thus obtain approximate solutions in analytical form, which is used to calculate the stresses in the thermoelastic plate.
About the Authors
A. D. Chernyshov
Воронеж. гос. ун-т. инж. технол.
Russian Federation
профессор, кафедра высшей математики
Russian Federation
профессор, кафедра высшей математики
A. N. Marchenko
Воронеж. гос. ун-т. инж. технол.
Russian Federation
аспирант, кафедра высшей математики
Russian Federation
аспирант, кафедра высшей математики
V. V. Goryaynov
Воронеж. гос. архитектурно-строительный ун-т
Russian Federation
доцент, кафедра высшей математики
Russian Federation
доцент, кафедра высшей математики
References
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2. 2 Chernyshov, A. D. Fast Fourier series [Text] / A. D. Chernyshov // Actual problems of applied mathematics, informatics and mechanics. Proceedings of the international conference, Voronezh, VSU. - 2010 – P. 388 – 394.
3. 3 Chernyshov, A. D. The improved Fourier series and и boundary functions [Text] / A. D. Chernyshov // Actual problems of applied mathematics, informatics and mechanics. Proceedings of the international conference, Voronezh, VSU. – 2009. - Part 2. – P. 236 – 238.
4. 4 .Chernyshov, A. D. Heat conduction problem in an angular domain with the inner source [Text] / A. D. Chernyshov // Engineering-physical journal. – 2003. – V.76. - № 4. – P. 150-155.
Review
For citations:
Chernyshov A.D., Marchenko A.N., Goryaynov V.V. Solution the problem of deformation thermoelastic plate by rapid expansions. Proceedings of the Voronezh State University of Engineering Technologies. 2013;(2):84-89. (In Russ.) https://doi.org/10.20914/2310-1202-2013-2-84-89
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