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Subcritical flutter in the acoustics of friction.

Kirillov, O. N. (2008):
Subcritical flutter in the acoustics of friction.
464(20, In: Proceedings of the Royal Society A, Royal Society, pp. 2321-2339, [Online-Edition: http://rspa.royalsocietypublishing.org/content/464/2097/2321...],
[Article]

Abstract

Linearized models of elastic bodies of revolution, spinning about their symmetrical axes, possess the eigenfrequency plots with respect to the rotational speed, which form a mesh with double semi-simple eigenfrequencies at the nodes. At contact with friction pads, the rotating continua, such as the singing wine glass or the squealing disc brake, start to vibrate owing to the subcritical flutter instability. In this paper, a sensitivity analysis of the spectral mesh is developed for the explicit predicting the onset of instability. The key role of the indefinite damping and non-conservative positional forces is clarified in the development and localization of the subcritical flutter. An analysis of a non-self-adjoint boundary-eigenvalue problem for a rotating circular string, constrained by a stationary load system, shows that the instability scenarios, revealed in the general two-dimensional case, are typical also in more complicated finite-dimensional and distributed systems.

Item Type: Article
Erschienen: 2008
Creators: Kirillov, O. N.
Title: Subcritical flutter in the acoustics of friction.
Language: English
Abstract:

Linearized models of elastic bodies of revolution, spinning about their symmetrical axes, possess the eigenfrequency plots with respect to the rotational speed, which form a mesh with double semi-simple eigenfrequencies at the nodes. At contact with friction pads, the rotating continua, such as the singing wine glass or the squealing disc brake, start to vibrate owing to the subcritical flutter instability. In this paper, a sensitivity analysis of the spectral mesh is developed for the explicit predicting the onset of instability. The key role of the indefinite damping and non-conservative positional forces is clarified in the development and localization of the subcritical flutter. An analysis of a non-self-adjoint boundary-eigenvalue problem for a rotating circular string, constrained by a stationary load system, shows that the instability scenarios, revealed in the general two-dimensional case, are typical also in more complicated finite-dimensional and distributed systems.

Journal or Publication Title: Proceedings of the Royal Society A
Volume: 464(20
Publisher: Royal Society
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Dynamics and Vibrations
Date Deposited: 12 Mar 2009 12:54
Official URL: http://rspa.royalsocietypublishing.org/content/464/2097/2321...
Additional Information:

Department of Mechanical Engineering, Dynamics group

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