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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… Click to show full 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 Note, a new generalization of this important and old result is developed. This generalization has an advantage over the previous works because it does not require the commutativity of the potential and circulatory matrices.
Keywords:
generalization;
generalization merkin;
circulatory;
circulatory forces;
merkin theorem
Journal Title: Acta Mechanica
Year Published: 2020
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Journal Title: Acta Mechanica
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!