Nonconservative stability problems for cantilever column subjected to subtangential forces

In the present study, the dynamic behavior of cantilever column having a tip rigid body and subjected to the action sub-tangential forces. The solution of the problem is obtained through the Lagrange’s approach and assuming as “CDM” discretization method [1,2]. The procedure, applied to cantilever column, is an alternative method to the usual FEM and Rayleigh-Ritz methodologies used in literature. The structures is reduced to a set of rigid bars linked together by means of elastic constraints. The system is reduced to a discrete problem to many parameters of freedom (MDOF) and you can study it using the usual theorem of classical mechanics. Evaluation schemes for flutter and divergence loads of non-conservative system are described and the static buckling loads and natural frequencies of beam-columns are compared through numerical examples. Finally, the influences of the tip rigid body on the dynamic behavior of the beam. The work ends with the analysis of a few numerical examples and results are compared with the ones obtained from authors mentioned in bibliography.