Detecting singular weak-dissipation limit for flutter onset in reversible systems

Авторы: Bigoni D., Misseroni D., Tommasini M., Kirillov O.N., Noselli G.
Журнал: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Том: 97
Номер: 023003
Год издания: 2018
Издательство: American Physical Society
Местоположение издательства: United States
DOI: 10.1103/PhysRevE.97.023003
Аннотация: 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 Pfluger 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 Pfluger column. Thus, the Whitney umbrella singularity is experimentally confirmed, responsible for discontinuities accompanying dissipation-induced instabilities in a broad range of physical contexts.
Добавил в систему: Кириллов Олег Николаевич

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