Stateczność i drgania swobodne kolumny poddanej obciążeniu czynnemu i biernemu siłą śledzącą skierowaną do bieguna dodatniego oraz podpartej sprężyną nieliniową

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.