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

Bigoni, Davide, Misseroni, Diego, Tommasini, Mirko, Kirillov, Oleg and Noselli, Giovanni (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://doi.org/10.1103/PhysRevE.97.023003

Abstract

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.

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: 25 Jun 2018 10:15
URI: http://nrl.northumbria.ac.uk/id/eprint/31130

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