Load by a force directed towards a positive pole in the aspect of studies on vibrations of a column with crack

In this paper the results of numerical studies on natural vibration frequency and stability of a slender supporting system loaded by external force directed towards a positive pole are presented. In the investigated structure the failure in the form of crack is present. The boundary problem is formulated on the basis of the principle of minimum action – Hamilton’s principle. The results in the non-dimensional form are plotted as the characteristic curves in the external load – natural vibration frequency plane as well as the maximum loading capacity is discussed.