Numerical and Analytical Investigation of Stability of the Reinforced Plate

https://doi.org/10.26552/com.C.2021.4.B278-B287

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

Abstract

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.

Author Biographies

Gaik A. Manuylov

Department of Structural Mechanics, Russian University of Transport (MIIT), Moscow, Russia

Sergey B. Kositsyn

Department of Theoretical Mechanics, Russian University of Transport (MIIT), Moscow, Russia

Irina E. Grudtsyna

Department of Theoretical Mechanics, Russian University of Transport (MIIT), Moscow, Russia

Published
2021-10-01
How to Cite
Gaik A. Manuylov, Sergey B. Kositsyn, & Irina E. Grudtsyna. (2021). Numerical and Analytical Investigation of Stability of the Reinforced Plate. Communications - Scientific Letters of the University of Zilina, 23(4), B278-B287. https://doi.org/10.26552/com.C.2021.4.B278-B287
Section
Mechanical Engineering in Transport