No abstract

In this paper the instability and vibration phenomena of columns composed of three elements with different bending and compression stiffnesses are presented. In the internal rod the crack is taken into consideration and is being modeled by means of a rotational spring with linear characteristic. The boundary problem has been formulated on the basis of the Hamilton's principle. The proposed general form of problem formulation allows one to create five different systems on the basis of one mathematical model. The final formulation of the boundary problem has been carried out by means of a small parameter method. The monitoring of the columns is done by the analysis of the characteristic curves and shape modes. The obtained results are compared to the ones calculated for the uncracked columns. The results of numerical calculation are concern on vibration frequency, bifurcation load magnitude and bifurcation load-crack size relationship.

No abstract

No abstract

No abstract