Open AccessSolving geometrically nonlinear tasks of the statics of hinged-rod systems basing on finite element method in the form of classical mixed method
Author(s) -
Aleksandr Ignat’ev,
В.К. Игнатьев,
E. A. Onishchenko
Publication year - 2016
Publication title -
vestnik mgsu
Language(s) - English
Resource type - Journals
eISSN - 2304-6600
pISSN - 1997-0935
DOI - 10.22227/1997-0935.2016.2.20-33
Subject(s) - finite element method , statics , nonlinear system , coincidence , mixed finite element method , extended finite element method , set (abstract data type) , mathematics , deformation (meteorology) , limit (mathematics) , mathematical analysis , structural engineering , computer science , engineering , classical mechanics , physics , quantum mechanics , medicine , alternative medicine , pathology , meteorology , programming language
The most widely used numerical method used in linear calculation of building structures is finite element method in traditional form of displacements. Different software is developed on its basis. Though it is only possible to check the certainty of these numerical solutions, especially of non-linear tasks of engineering structures’ deformation by the coincidence of the results obtained by two different methods. The authors solved geometrically nonlinear task of the static deformation of a flat hinged-rod system consisting of five linear elastic rods undergoing great tension-compression strains. The solution was obtained basing on the finite element method in the form of classical mixed method developed by the authors. The set of all equilibrium states of the system, both stable and unstable, and all the limit points were found. The certainty of the solution was approved by the coincidence of the results obtained by other authors basing on traditional finite element method in displacements.