Effect of subtangential parameter on the stability and dynamic tapered beam subjected to follower forces

This paper deals with dynamic stability of cantilever column subjected to the action of subtangential forces. The eigenfrequency equation I obtained by the generalized Rayleigh-Ritz method. A procedure is illustrated in order to study cantilever beam with variable cross-sections subjected to sub-follower forces. The analysis is based on a variational approach with Orthogonal Polynomials are chosen as trial functions polynomial trial functions. The instability regions by divergence and flutter are examined in some detail, so allowing to determine the range of applicability of the static instability criterion. In the case of applying a follower force, the static criterion is no longer valid and is necessary to use the dynamic criterion. Numerical results are tabulated for different tapered beam whit various subtangential parameters and are compared with other classical results from the bibliography, so confirming the goodness of the proposed approach.