Communications - Scientific Letters of the University of Zilina 2021, 23(4):B278-B287 | DOI: 10.26552/com.C.2021.4.B278-B287

Numerical and Analytical Investigation of Stability of the Reinforced Plate

Gaik A. Manuylov1, Sergey B. Kositsyn ORCID...2, Irina E. Grudtsyna ORCID...2
1 Department of Structural Mechanics, Russian University of Transport (MIIT), Moscow, Russia
2 Department of Theoretical Mechanics, Russian University of Transport (MIIT), Moscow, Russia

The work is aimed at the construction of an algorithm for studying the equilibrium states of a reinforced plate near critical points, using the first (cubic terms) nonlinear terms of the potential energy expansion. Using geometrically nonlinear analysis of displacement, deformation and stress fields, the Eigenforms of buckling were calculated and bifurcation solutions and solutions for equilibrium curves with limit points were constructed depending on the initial imperfections.

Keywords: geometrically nonlinear equilibrium equations; bifurcation points; limit points; interaction of forms; reinforced plate; critical stresses

Received: January 19, 2021; Accepted: March 5, 2021; Prepublished online: August 20, 2021; Published: October 1, 2021  Show citation

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Manuylov, G.A., Kositsyn, S.B., & Grudtsyna, I.E. (2021). Numerical and Analytical Investigation of Stability of the Reinforced Plate. Communications - Scientific Letters of the University of Zilina, 23(4), B278-287. doi: 10.26552/com.C.2021.4.B278-B287
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