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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2024-7pp.3859-3869

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V.V. Myltsin, O.A. Myltsina, D.K. Andreychenko, and I.V. Papkova, "Dynamics of Thermoelastic Geometric Irregular Plate S.P. Timoshenko, Symmetrically Strengthened by Ribs," Mech. Solids. 59 (7), 3859-3869 (2024)
Year 2024 Volume 59 Number 7 Pages 3859-3869
DOI 10.1134/S002565442460661X
Title Dynamics of Thermoelastic Geometric Irregular Plate S.P. Timoshenko, Symmetrically Strengthened by Ribs
Author(s) V.V. Myltsin (Saratov State University, Saratov, 410012 Russia, vova.myltsin@yandex.ru)
O.A. Myltsina (Saratov State University, Saratov, 410012 Russia, omyltcina@yandex.ru)
D.K. Andreychenko (Saratov State University, Saratov, 410012 Russia)
I.V. Papkova (Saratov State University, Saratov, 410012 Russia, ikravzova@mail.ru)
Abstract The paper presents a mathematical model of oscillations of a preheated orthotropic plate reinforced with stiffeners. The paper is based on a continuum model of a geometrically irregular plate. Equations, boundary and initial conditions are derived from the Ostrogradsky-Hamilton variational principle. The kinematic hypothesis of S.P. Timoshenko is used. The analysis of the natural frequencies of plate oscillations is performed for various geometric and thermomechanical parameters.
Keywords orthotropic plate, natural frequencies, S.P. Timoshenko’s hypothesis, thermoelasticity, geometrically irregular plate, symmetrically strengthened by ribs
Received 19 November 2024Revised 02 December 2024Accepted 03 December 2024
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