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Revista Facultad de Ingeniería Universidad de Antioquia
Print version ISSN 0120-6230
Abstract
ARBOLEDA MONSALVE, Luis G.; ZAPATA MEDINA, David G. and ARISTIZABAL OCHOA, J. Darío. Reut and Beck columns: effects of end gravity force, translational and rotational inertias. Rev.fac.ing.univ. Antioquia [online]. 2012, n.65, pp.191-200. ISSN 0120-6230.
The stability of Reut and Beck columns subjected to any combination of gravity and non-conservative (fixed-line or follower) compressive axial forces is presented using the dynamic formulation. The proposed method is general capturing the static (or divergence) buckling as well as the dynamic (flutter) instability of cantilever columns. Special attention is given to the effects of the end gravity force, translational and rotational inertias along the member. Analytical results are intended to capture the limit on the range of applicability of the static or Euler's method in the stability analysis of slender cantilever columns, and to define the transition from static instability (with zero frequency) to dynamic instability (''flutter''). Finally, the comparison between the characteristic stability equations of slender Reut and Beck columns is presented.
Keywords : Columns; buckling; dynamic stability; static stability; flutter; non-conservative loads; Beck and Reut columns.