181 citations · 1.2k across the 37 of their papers we have counts for
5 papers · 1 filter
Localizing EP sets in dissipative systems and the self-stability of bicycles
Oleg N. Kirillov
Sets in the parameter space corresponding to complex exceptional points have high codimension and by this reason they are difficult objects for numerical localization. However, com…
Flutter and divergence instability in the Pfluger column: experimental evidence of the Ziegler destabilization paradox
Davide Bigoni, Oleg N. Kirillov, Diego Misseroni +2
Flutter instability in elastic structures subject to follower load, the most important cases being the famous Beck's and Pfluger's columns (two elastic rods in a cantilever configu…
Detecting singular weak-dissipation limit for flutter onset in reversible systems
Davide Bigoni, Oleg N. Kirillov, Diego Misseroni +2
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…
The destabilizing effect of external damping: Singular flutter boundary for the Pfluger column with vanishing external dissipation
Mirko Tommasini, Oleg N. Kirillov, Diego Misseroni +1
Elastic structures loaded by nonconservative positional forces are prone to instabilities induced by dissipation: it is well-known in fact that internal viscous damping destabilize…
Rotating saddle trap as Foucault's pendulum
Oleg N. Kirillov, Mark Levi
One of the many surprising results found in the mechanics of rotating systems is the stabilization of a particle in a rapidly rotating planar saddle potential. Besides the counteri…