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Dissipation-induced instabilities and symmetry

Kirillov, O. N. ; Verhulst, F. (2011):
Dissipation-induced instabilities and symmetry.
In: Acta Mechanica Sinica, 27 (1), pp. 2-6. Springer, [Article]

Item Type: Article
Erschienen: 2011
Creators: Kirillov, O. N. ; Verhulst, F.
Title: Dissipation-induced instabilities and symmetry
Language: English
Journal or Publication Title: Acta Mechanica Sinica
Journal volume: 27
Number: 1
Publisher: Springer
Divisions: 16 Department of Mechanical Engineering > Dynamics and Vibrations
16 Department of Mechanical Engineering
Date Deposited: 19 Sep 2012 14:20
Identification Number: doi:10.1007/s10409-011-0409-0
Alternative keywords:
Alternative keywordsLanguage
Dissipation-induced instabilities, Destabilization paradox, Ziegler pendulum, Whitney umbrellaEnglish
Alternative Abstract:
Alternative abstract Language

The paradox of destabilization of a conservative or non-conservative system by small dissipation, or Ziegler's paradox (1952), has stimulated a growing interest in the sensitivity of reversible and Hamiltonian systems with respect to dissipative perturbations. Since the last decade it has been widely accepted that dissipation-induced instabilities are closely related to singularities arising on the stability boundary, associated with Whitney's umbrella. The first explanation of Ziegler's paradox was given (much earlier) by Oene Bottema in 1956. The aspects of the mechanics and geometry of dissipation-induced instabilities with an application to rotor dynamics are discussed.

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