Generic behaviour of grazing impact oscillators

J.G. Weger, de; D.J. Binks; J. Molenaar; W. Water, van de

doi:10.1103/PhysRevLett.76.3951

Generic behaviour of grazing impact oscillators

J.G. Weger, de
, D.J. Binks
, J. Molenaar
, W. Water, van de

Research output: Contribution to journal › Article › Academic › peer-review

76 Citations (Scopus)

185 Downloads (Pure)

Abstract

We give experimental evidence for a new bifurcation structure that arises when smooth dynamical systems cross a boundary. Our experiment concerns a driven impacting leaf-spring oscillator with a very precise control of the driving amplitude. The results are in surprisingly good agreement with the predictions of a simple nonlinear mapping that is valid near grazing impact (i.e., impact with zero velocity). The agreement is surprising because a multitude of vibration modes of the spring is excited upon impact whereas the mapping is two dimensional. These findings point to the universality of the observed bifurcation structure.

Original language	English
Pages (from-to)	3951-3954
Number of pages	4
Journal	Physical Review Letters
Volume	76
Issue number	21
DOIs	https://doi.org/10.1103/PhysRevLett.76.3951
Publication status	Published - 1996

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title = "Generic behaviour of grazing impact oscillators",

abstract = "We give experimental evidence for a new bifurcation structure that arises when smooth dynamical systems cross a boundary. Our experiment concerns a driven impacting leaf-spring oscillator with a very precise control of the driving amplitude. The results are in surprisingly good agreement with the predictions of a simple nonlinear mapping that is valid near grazing impact (i.e., impact with zero velocity). The agreement is surprising because a multitude of vibration modes of the spring is excited upon impact whereas the mapping is two dimensional. These findings point to the universality of the observed bifurcation structure.",

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AB - We give experimental evidence for a new bifurcation structure that arises when smooth dynamical systems cross a boundary. Our experiment concerns a driven impacting leaf-spring oscillator with a very precise control of the driving amplitude. The results are in surprisingly good agreement with the predictions of a simple nonlinear mapping that is valid near grazing impact (i.e., impact with zero velocity). The agreement is surprising because a multitude of vibration modes of the spring is excited upon impact whereas the mapping is two dimensional. These findings point to the universality of the observed bifurcation structure.

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DO - 10.1103/PhysRevLett.76.3951

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Generic behaviour of grazing impact oscillators

Abstract

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