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Two examples of instability under follower load
AbstractTwo rather simple and loosely interrelated, but at the same time intriguing, examples of instability of a beam or a column under followed load are examined: (1) a beam-cantilever acted on by a so-called quasitangential or semitangential bending moment at the free end, and (2) a free-standing column loaded, at the free end, by a semitangential follower force accompanied by a displacement-dependent bending moment.The first topic—even if in a straightforward from very well known—serves herein as an introductory example to the intricacies of a consistent large-displacement analysis of flexible space frames with inherently rigid connections at the joints, which is dealt with in referenced literature. The second example offers an opportunity to demonstrate how a smooth equilibrium path of divergence can be drastically cut off by bifurcation of the equilibrium.
Two examples of instability under follower load
AbstractTwo rather simple and loosely interrelated, but at the same time intriguing, examples of instability of a beam or a column under followed load are examined: (1) a beam-cantilever acted on by a so-called quasitangential or semitangential bending moment at the free end, and (2) a free-standing column loaded, at the free end, by a semitangential follower force accompanied by a displacement-dependent bending moment.The first topic—even if in a straightforward from very well known—serves herein as an introductory example to the intricacies of a consistent large-displacement analysis of flexible space frames with inherently rigid connections at the joints, which is dealt with in referenced literature. The second example offers an opportunity to demonstrate how a smooth equilibrium path of divergence can be drastically cut off by bifurcation of the equilibrium.
Two examples of instability under follower load
Dabrowski, Ryszard (author)
Journal of Constructional Steel Research ; 19 ; 153-161
1991-01-01
9 pages
Article (Journal)
Electronic Resource
English
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