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On the stability and instability criteria for circulatory systems: A review

Bulatović Ranislav M.

Theoretical and Applied Mechanics · 2020

doi:10.2298/tam201021013b (opens in a new tab)

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Abstract

A survey of the selected published criteria ? expressed by the properties of the system matrices ? for the stability and instability of linear mechanical systems subjected to potential and circulatory forces is presented. In particular, recent generalizations of the well-known Merkin instability theorem are reported. Several simple numerical examples are used to illustrate the usefulness of the presented criteria and also to compare them.

Abstract licence: CC BY-NC-ND

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