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 nonconservative reversible systems with vanishing dissipation. In particular, such a singular interface exists for the Pflüger viscoelastic column moving in a resistive medium, which is proven by means of the perturbation theory of multiple eigenvalues with the Jordan block. The laboratory setup, consisting of a cantilevered viscoelastic rod loaded by a positional force with nonzero curl produced by dry friction, demonstrates high sensitivity of the classical Hopf bifurcation onset to the ratio between the weak air drag and Kelvin-Voigt damping in the Pflüger column. Thus, the Whitney umbrella singularity is experimentally confirmed, responsible for discontinuities accompanying dissipation-induced instabilities in a broad range of physical contexts.
Detecting singular weak-dissipation limit for flutter onset in reversible systems / Bigoni, Davide; Misseroni, Diego; Tommasini, Mirko; Kirillov, Oleg; Noselli, Giovanni. - In: PHYSICAL REVIEW. E. - ISSN 2470-0053. - 97:2(2018), pp. 1-15. [10.1103/PhysRevE.97.023003]
|Titolo:||Detecting singular weak-dissipation limit for flutter onset in reversible systems|
|Autori:||Bigoni, Davide; Misseroni, Diego; Tommasini, Mirko; Kirillov, Oleg; Noselli, Giovanni|
|Data di pubblicazione:||2018|
|Numero di Articolo:||023003|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1103/PhysRevE.97.023003|
|Appare nelle tipologie:||1.1 Journal article|