Free vibrations of column built out pipe and rod with two-parametric elastic connector

In this paper the geometrically nonlinear system subjected to compressive external Euler's load has been investigated. The column is composed of pipe and rod. The rod is concentrically installed in the pipe. Between pipe and rod at given distance from the end of the column the two-parametric elastic connector has been placed. The numerical calculations were performed for different parameters of the system on the basis of free vibration boundary problem. The parameters are as follows: spring stiffness (translational and rotational) which models elastic connector, coefficient of asymmetry flexural rigidity, location of the connector.