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The Ziegler effect in a non-conservative mechanical system

✍ Scribed by A.E. Baikov; P.S. Krasil’nikov

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
448 KB
Volume
74
Category
Article
ISSN
0021-8928

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✦ Synopsis

The destabilization of the stable equilibrium of a non-conservative system under the action of an infinitesimal linear viscous friction force is considered. In the case of low friction, the necessary and sufficient conditions for stability of a system with several degrees of freedom and, as a consequence, the conditions for the existence of the destabilization effect (Ziegler's effect) are obtained. Criteria for the stability of the equilibrium of a system with two degrees of freedom, in which the friction forces take arbitrary values, are constructed. The results of the investigation are applied to the problem of the stability of a two-link mechanism on a plane, and the stability regions and Ziegler's areas are constructed in the parameoter space of the problem.

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