Local Loss of Rectilinear Form of Static Equilibrium of Geometrically Nonlinear System with Non-Prismatic Element under Force Directed towards Pole
J. Szmidla, A. Jurczyńska
Częstochowa University of Technology, J.H. Dąbrowskiego 69, 42-201 Częstochowa, Poland
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The paper considers a geometrically non-linear column constructed as an overbraced flat rod system loaded with a force directed towards the positive pole. The analyzed system is characterized by two forms of static equilibrium: rectilinear and curvilinear. It was proved in scientific studies that the loss of rectilinear form can be local and is directly related to the distribution of bending stiffness. In this paper, it is proposed to use elements with a variable cross-section as a way to reduce the phenomenon of local loss of rectilinear static equilibrium. The obtained results allow for the statement that proper shaping of the non-prismatic rod which is a component of the geometrically non-linear system may cause an increase in bifurcation load, and thus limiting the scope of local loss of rectilinear form of static equilibrium.

DOI:10.12693/APhysPolA.138.140
topics: stability, bifurcation load, non-linear system