Studies on Generalized Reut's Problem

Structures loaded with a force acting along a fixed straight line, or the “Reut’s column problem”

“…However, inelastic particles do not exist in practice and, if these remain attached after impact, the mass of the structure changes, so that the proposal by Bolotin is simply unrealistic. Hermann et al [4] and Sugiyama [11,12] used an air jet impinging the a) b) k₁,c₁ k₁,c₁ k₂,c₂ k₂,c₂ Figure 1: An elastic double pendulum loaded by a force constrained to remain coaxial to a fixed straight line, but allowed to freely slide against a rigid blade (sketched dashed/grey in the figure), the so-called 'Reut's column'. This load triggers flutter and divergence instability in the structure which occur at the same values of critical load as in the Ziegler double pendulum.…”

“…However, inelastic particles do not exist in practice and, if these remain attached after impact, the mass of the structure changes, so that the proposal by Bolotin is simply unrealistic. Hermann et al [4] and Sugiyama [11,12] structure to produce the load, a set-up much different from that evisaged by Bolotin. Flutter instability was found by the former research team [4], while Sugiyama was initially unable to find it [11], but succeeded later [12].…”

“…Hermann et al [4] and Sugiyama [11,12] structure to produce the load, a set-up much different from that evisaged by Bolotin. Flutter instability was found by the former research team [4], while Sugiyama was initially unable to find it [11], but succeeded later [12]. In any case, the air jet produces with the structure a complex aeroelastic interaction, leading to a load differing from that idealized by Reut.…”

“…The terms defining the external power in equation (10) and in its linearized version (11) are reported in Table 1 with reference to all four considered loads. Tab.…”