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Subcritical flutter in the acoustics of friction.

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

Offizielle URL: http://rspa.royalsocietypublishing.org/content/464/2097/2321...

Kurzbeschreibung (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.

Typ des Eintrags: Artikel
Erschienen: 2008
Autor(en): Kirillov, O. N.
Titel: Subcritical flutter in the acoustics of friction.
Sprache: Englisch
Kurzbeschreibung (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.

Titel der Zeitschrift, Zeitung oder Schriftenreihe: Proceedings of the Royal Society A
Band: 464(20
Verlag: Royal Society
Fachbereich(e)/-gebiet(e): Fachbereich Maschinenbau
Fachbereich Maschinenbau > Dynamik und Schwingungen, Dynamics and Vibrations
Hinterlegungsdatum: 12 Mär 2009 12:54
Offizielle URL: http://rspa.royalsocietypublishing.org/content/464/2097/2321...
Zusätzliche Informationen:

Department of Mechanical Engineering, Dynamics group

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