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The Dynamics of a Near-Grazing Oscillator

In: Differential Equations Theory, Numerics and Applications

Author

Listed:
  • J. Molenaar

    (Eindhoven University of Technology, Faculty of Mathematics and Computing Science)

  • J. De Weger

    (Eindhoven University of Technology, Faculty of Physics)

  • D. Binks

    (Eindhoven University of Technology, Faculty of Physics)

  • W. V. D. Water

    (Eindhoven University of Technology, Faculty of Physics)

Abstract

The driven harmonic oscillator in free space is a standard example of linear theory; its solution is explicitly known as a function of the initial values and the system parameters. This drastically changes if the oscillator may have impact with an obstacle. The impact introduces a nonlinearity into the system which gives rise to intricate bifurcations. Impact oscillators are found in mechanical systems such as fittings, railway bogies, motion of ships in a harbour and of suspension bridges. For a list of references, see Ref.(6). Recently, impacting systems are used in atomic force microscopy, with which the shape of surfaces can be measured very accurately from impacting on it on a microscopic level; see Ref.(8).

Suggested Citation

  • J. Molenaar & J. De Weger & D. Binks & W. V. D. Water, 1997. "The Dynamics of a Near-Grazing Oscillator," Springer Books, in: E. van Groesen & E. Soewono (ed.), Differential Equations Theory, Numerics and Applications, pages 325-334, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-5157-3_20
    DOI: 10.1007/978-94-011-5157-3_20
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