Uncovering detached resonance curves in single-degree-of-freedom systems

Abstract In the last decade, the problem of detached resonant curves (DRCs) has received a growing attention. However, most of recent research works seem to ignore papers from the sixties and the seventies, which already investigated the subject. With the aim of recovering this “forgotten” literature, we briefly review the majority of the studies on the topic. Furthermore, implementing singularity theory in conjunction with a classical harmonic balance procedure, we analyze DRCs in a single-degree-of-freedom system, possessing nonlinear damping force. A geometrical interpretation of the phenomenon is provided.

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