The Stability of Geometrically Nonlinear Column Loaded by a Generalized Force Directed to Positive Pole at Stepped Variable of Flexural Rigidity

The results of theoretical and numerical research that aims at determining areas of local and global instability of geometrically non-linear column loaded by a generalized force directed towards a positive pole at stepped variable of flexural rigidity are presented in the paper. Taking into account total potential energy of column, equations of transverse displacements and boundary conditions necessary to solve the issue were obtained. On the basis of the static criterion of stability an influence of variable flexural stiffness and geometrical and physical parameters of system on the value of the bifurcation load of considered structure was determined. The results of numerical calculations were referred to value of critical load of relevant linear column (a comparative column).

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The study has been carried out within the framework of project BS/PB-1-101-3020/11/P realized at Czestochowa University of Technology.