The destabilizing effect of external damping: Singular flutter boundary for the Pflüger column with vanishing external dissipation

Tommasini, Mirko, Kirillov, Oleg, Misseroni, Diego and Bigoni, Davide (2016) The destabilizing effect of external damping: Singular flutter boundary for the Pflüger column with vanishing external dissipation. Journal of the Mechanics and Physics of Solids, 91. pp. 204-215. ISSN 0022-5096

[img]
Preview
Text
2016-JMPS-accepted.pdf - Accepted Version

Download (671kB) | Preview
Official URL: http://dx.doi.org/10.1016/j.jmps.2016.03.011

Abstract

Elastic structures loaded by non-conservative positional forces are prone to instabilities induced by dissipation: it is well-known that internal viscous damping destabilizes the marginally stable Ziegler's pendulum and Pflüger column (of which the Beck's column is a special case), two structures loaded by a tangential follower force. The result is the so-called ‘destabilization paradox’, where the critical force for flutter instability decreases by an order of magnitude when the coefficient of internal damping becomes infinitesimally small. Until now external damping, such as that related to air drag, is believed to provide only a stabilizing effect, as one would intuitively expect. Contrary to this belief, it will be shown that the effect of external damping is qualitatively the same as the effect of internal damping, yielding a pronounced destabilization paradox. Previous results relative to destabilization by external damping of the Ziegler's and Pflüger's elastic structures are corrected in a definitive way leading to a new understanding of the destabilizating role played by viscous terms.

Item Type: Article
Uncontrolled Keywords: Pflüger column; Beck column; Ziegler destabilization paradox; External damping; Follower force; Mass distribution
Subjects: F300 Physics
G100 Mathematics
H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Oleg Kirillov
Date Deposited: 09 Jan 2017 14:47
Last Modified: 21 May 2017 04:34
URI: http://nrl.northumbria.ac.uk/id/eprint/29026

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics


Policies: NRL Policies | NRL University Deposit Policy | NRL Deposit Licence