Drgania i stateczność kolumn spoczywających na podłożu typu Winklera realizujących wybrane przypadki obciążenia konserwatywnego

The results of theoretical and numerical research into the stability and transversal vibrations of columns rested on Winkler type elastic base, are discussed in the paper. Systems realizing load by a force directed towards the positive pole and load by following force directed towards the positive pole are taking into account. The equations of motion and the boundary conditions of the considered columns are determined on the basis of the total mechanical energy. The solution to the problem of the statics and dynamics of the systems leads to the relationships on the basis of which the value of a critical load of the systems and the course of changes in the frequency of free vibrations in relation to the external load are determined. Vibration and stability results show the influence of chosen parameters that characterise the considered columns.