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EN
Theoretical and numerical research concerned of stability and free vibrations of slender system subjected to active and passive specific load is presented in the paper. Column supported at the one end by spring with nonlinear characteristics. The boundary problem was formulated one the basis of Hamilton's principle and of the small parameters method. Solution of boundary problem permitted carry out numerical simulations.
EN
This paper concerns the issue of stability and free vibrations of discrete, two-part planar frame, built of frame bolt and frame column. Frame column is loaded by the follower force directed towards the positive pole. The loading and receiving head are built of the circular elements. Theoretical considerations are made concerning analysis of the system geometry and determination of relations for the potential energy and kinetic energy of the considered system. Adequate relationships describing stability of the considered frame are obtained taking into account energetic method or vibration method. An influence of geometrical parameters of loading head and rigidity of rotational springs modeling the finite stiffness of structural constraints on the critical load is analyzed. The courses of natural vibration frequencies in relation to the external load are determined.
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