A generalization of Merkin’s theorem on the destabilizing effect of circulatory forces
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DOI: 10.1007/s00707-020-02826-0
Abstract: The well-known Merkin’s theorem states that the stability of equilibrium of a potential system with the same natural frequencies is destroyed after the addition of arbitrarily small linear non-conservative positional (circulatory) forces. In the present… read more here.
Keywords: generalization; generalization merkin; circulatory; circulatory forces ... See more keywords
Stability of Dynamical Systems with Circulatory Forces: Generalization of the Merkin Theorem
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DOI: 10.2514/1.j056109
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… read more here.
Keywords: generalization; generalization merkin; dynamical systems; circulatory forces ... See more keywords