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Stability of Dynamical Systems with Circulatory Forces: Generalization of the Merkin Theorem

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This paper develops a general result on the stability of undamped linear multi-degree-of-freedom systems that are subjected to potential and circulatory forces. The result is a generalization of Merkin’s celebrated… Click to show full abstract

This paper develops a general result on the stability of undamped linear multi-degree-of-freedom systems that are subjected to potential and circulatory forces. The result is a generalization of Merkin’s celebrated result on flutter instability in stable potential systems that are subjected to circulatory disturbances. Merkin’s result appears as a special case of the generalization obtained herein.

Keywords: generalization; generalization merkin; dynamical systems; circulatory forces; stability dynamical

Journal Title: AIAA Journal
Year Published: 2017

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