Divergence of Cantilever Columns Under Combined Conservative and Follower Loads

The regions of flutter and divergence instability of a column subjected to Beck's generalized load, taking into account the torsional flexibility of the loaded end of the column

“…The methods of loading the system which have an influence on the type of stability loss (divergence or flutter) are as follows: Beck's generalized load (a load generated by an under-follower force) (Gajewski, 2001;Herrmann and Bungay, 1964;Ryu et al, 2000;Sato, 1996;Smith and Herrman, 1972;Tomski and Przybylski, 1985;Tomski et al, 2007) and a load generated by the simultaneous performance of a conservative (axial) and non-conservative load (follower -Beck's) (Flax, 1984;Hernández-Urrea and Dario Aristizabal-Ochoa, 2008;Langthjem and Sugiyama, 2000;Ryu et al, 2000;Sugiyama et al, 2000). Beck's generalized load, considered in this paper, is a load for which the direction of the force is determined by the follower coefficient.…”

“…A load generated by the simultaneous performance of a conservative (axial) and non-conservative load (follower) was finally introduced to Beck's generalized load with an appropriately calculated follower coefficient (Flax, 1984;Hernández-Urrea and Dario Aristizabal-Ochoa, 2008;Langthjem and Sugiyama, 2000;Ryu et al, 2000;Sugiyama et al, 2000). Sundararajan (1976) and Kounadis (1983) determined the rigidity ranges of a translational, spring supported, non-conservative, slender system, where the system loses stability through flutter and divergence.…”