The vibrations and the stability of a flat frame type gamma realizing the Euler’s load taking into account the vulnerability of the structural node connecting the pole and the bolt of the system

The paper presents the results of theoretical research and numerical calculations of the vibration and the stability of a twin rod flat frame subjected to the Euler's load. Considering the total mechanical energy of the system and using the kinematic stability criterion (Hamilton's principle) is determined by the equations of motion and boundary conditions considered system. The results of numerical calculations are presented at selected geometrical and physical parameters in the system for selected values of the rotary spring stiffness modeling the structural rigidity of the node connecting bolt with the column of frame.