Abstract
The flutter and buckling behavior of a cantilever foil beam, loaded at the tip by a follower force, are addressed in this paper. The beam is internally and externally damped and braced at the tip by a linear spring-damper device, which is located in an eccentric position with respect to beam axis, thus coupling the flexural and torsional behaviors. An exact linear stability analysis is carried out, and the linear stability diagram of the trivial rectilinear configuration is built up in the space of the follower load and spring’s stiffness parameters. The effects of the flexural-torsional coupling, as well as of the damping, on the flutter and buckling critical loads are discussed.
Highlights
Dynamic stability of elastic systems loaded by nonconservative and configuration-dependent loads, such as follower forces [1, 2], has been thoroughly investigated by many researchers in the last century [3,4,5,6,7,8,9,10]
The effects on dynamic stability due to the presence of follower forces are very important in several engineering branches, such as in aerospace [10, 14, 15], in flexible pipes conveying fluid [16,17,18], and in vehicle brakes [19, 20]
Researchers have devoted great attention in the last years to the so-called Beck’s beam, namely, a cantilever beam loaded at the tip by a follower force, and, eventually, in the presence of conservative loads, and/or of distributed as well as lumped forms of damping
Summary
Dynamic stability of elastic systems loaded by nonconservative and configuration-dependent loads, such as follower forces [1, 2], has been thoroughly investigated by many researchers in the last century [3,4,5,6,7,8,9,10]. The flexural-torsional coupling may become important when issues relevant to dynamic stability are addressed In this framework classical examples can be found mainly in aerospace engineering, for example, when the flutter behavior of a wing, immersed in a gas flow, namely, under nonconservative and velocity-dependent loads, is considered [5, 36]. To the best of author’s knowledge, there are no contributions in the literature addressing the flutter and buckling analyses of a spatial Beck’s column, so that the present work is a first step toward the study of the problem To this end, reference will be made to the simplest model as possible, namely, a clamped-free foil beam, loaded at the tip by a tangential follower force, internally and externally damped.
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