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arXiv · 1707.03561

Isolated resonances and nonlinear damping

Giuseppe Habib·Giuseppe Ilario Cirillo·Gaetan Kerschen
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Abstract

We analyze isolated resonance curves (IRCs) in a single-degree-of-freedom system with nonlinear damping. The adopted procedure exploits singularity theory in conjunction with the harmonic balance method. The analysis unveils a geometrical connection between the topology of the damping force and IRCs. Specifically, we demonstrate that extremas and zeros of the damping force correspond to the appearance and merging of IRCs.

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Giuseppe Habib, Giuseppe Ilario Cirillo, Gaetan Kerschen. 2017-07-12. Isolated resonances and nonlinear damping. https://arxiv.org/abs/1707.03561

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