CNCS Center for Nonlinear and Complex Systems
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Publications [#282329] of Lawrence N. Virgin

Papers Published

  1. Virgin, LN; George, C; Kini, A, Experiments on a non-smoothly-forced oscillator, Physica D: Nonlinear Phenomena, vol. 313 (December, 2015), pp. 1-10, Elsevier BV, ISSN 0167-2789 [doi]
    (last updated on 2019/09/23)

    © 2015 Elsevier B.V. All rights reserved. This paper describes some typical behavior encountered in the response of a harmonically-excited mechanical system in which a severe nonlinearity occurs due to an impact. Although such systems have received considerable recent attention (most of it from a theoretical viewpoint), the system scrutinized in this paper also involves a discrete input of energy at the impact condition. That is, it is kicked when contact is made. One of the motivations for this work is related to a classic pinball machine in which a ball striking a bumper experiences a sudden impulse, introducing additional unpredictability to the motion of the ball. A one-dimensional analog of a pinball machine was the subject of a detailed mathematical study in Pring and Budd (2011), and the current paper details behavior obtained from a mechanical experiment and describes dynamics not observed in a conventional (passive) impact oscillator.