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Title of Article

AUTOMATION OF THE ANALYSIS OF EQUILIBRIUM AND STABILITY OF PURE BENDING OF A NONLINEARLY ELASTIC PANEL


Issue
4
Date
2011

Article type
scientific article
UDC
539.3
Pages
2617-2618
Keywords
 


Authors
Shubchinskaya N.Yu.
Yuzhnyy federalnyy universitet, Rostov-na-Donu

Sukhov D.Yu.
Yuzhnyy federalnyy universitet, Rostov-na-Donu


Abstract
The realization of the main steps of the stability analysis process of bending a panel into a cylindrical sector using the Maple computer algebra system is presented. For two material models with nonlinearly elastic properties, it was found that the bending diagram has an extremum point followed by a falling region. To study the stability based on the bifurcation approach, the Maple-independent block of the code was developed which analytically implements the linearization of the equilibrium equations. Some issues are discussed which are related to the location of bifurcation points on the diagram of loading as well as to the influence of the material parameters on the possibility of buckling when loaded in bending.

File (in Russian)