iipp publishingJournal of Applied Engineering Science


Mixed finite element for the dynamic analysis of orthotropic flexible shallow shells
ISSN: 1451-4117     
E-ISSN: 1821-3197    
This is an open access article distributed under the CC BY-NC-ND 4.0 terms and conditions.
Volume 15 article 467 pages: 442 - 446

Leonid Yulianovich Stupishin
Southwest State University, Kursk, Russia

Konstantin Evgenyevich Nikitin
Southwest State University, Kursk, Russia

A finite-element methodology for studying the forced oscillations of orthotropicflexible shallow shells relative to the initial deformed state defined on the basis of a geometrically nonlinear deformation theory is proposed. To derive the finite-element equations, the Galerkin method is used in combination with the mixed formulation of the problem. The final finite-element equations have a simple structure and numerical integration is not required for calculating the matrices and vectors of finite elements. The accuracy and convergence of the mixed finite element is analyzed. Based on the developed methodology, the influence of geometric nonlinearity on the process of shell oscillations is studied.

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