The phenomenon of oscillatory instability called 'flutter'was observed in aeroelasticity and
rotor dynamics about a century ago. Driven by a series of applications involving non …

This updated revision gives a complete and topical overview on Nonconservative Stability
which is essential for many areas of science and technology ranging from particles trapping …

A nonlinear model for the dynamics of a Kirchhoff rod in the three-dimensional space is
developed in the framework of a discrete elastic theory. The formulation avoids the use of …

Flutter instability in elastic structures subject to follower load, the most important cases being
the famous Beck's and Pflüger's columns (two elastic rods in a cantilever configuration, with …

The article examines the effect of linear damping and combined linear and nonlinear cubic
damping of an elastic support on the dynamics of a gyroscopic rigid rotor with a non-ideal …

The article deals with the problem of the stability of the equilibrium of a double pendulum
under the action of a follower force. The latter is assumed to be imperfect, that is, the …

In this paper, the effects of linear damping on the post-critical behavior of the Ziegler's
column are discussed. To this end, the well-known double-pendulum, loaded at the free-end …

We consider a linear dynamical system under the action of potential and circulatory forces.
The matrix of potential forces is positive definite, and the main question is when the …

A nonlinear extended regularized model of taut string carrying a moving point mass is
proposed with the intent to contribute to the solution of the paradox of particle's …

A “flutter machine” is introduced for the investigation of a singular interface between the
classical and reversible Hopf bifurcations that is theoretically predicted to be generic in …