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

Kirillov, Oleg, Bigoni, Davide, Misseroni, Diego, Noselli, Giovanni and Tommasini, Mirko (2018) Detecting singular weak-dissipation limit for flutter onset in reversible systems. Physical Review E (PRE), 97 (2). 023003. ISSN 2470-0045

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Official URL: https://journals.aps.org/pre/abstract/10.1103/Phys...

Abstract

We provide a `flutter machine' for 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. The setup, consisting of a cantilevered viscoelastic rod loaded by a positional force with non-zero curl produced by dry friction, demonstrates high sensitivity of the classical Hopf bifurcation onset to the ratio of the weak air drag and Kelvin-Voigt damping. Thus, we experimentally confirm the Whitney umbrella singularity, responsible for discontinuities accompanying dissipation-induced instabilities in a broad range of physical contexts.

Item Type: Article
Subjects: F300 Physics
H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Related URLs:
Depositing User: Oleg Kirillov
Date Deposited: 09 Jan 2018 09:03
Last Modified: 23 Feb 2018 09:20
URI: http://nrl.northumbria.ac.uk/id/eprint/31130

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