Papers Published

  1. Todd, M.D. and Virgin, L.N. and Gottwald, J.A., Nonstationary transition through resonance, Nonlinear Dynamics, vol. 10 no. 1 (1996), pp. 31 - 48 .
    (last updated on 2007/03/23)

    Abstract:
    This paper considers the resonant behavior of a mechanical oscillator during a linear frequency sweep. Both numerical and experimental results are presented. The experimental system consisting of a track in the shape of a potential energy surfaces has been used to highlight other types of nonlinear behavior and is here adapted so that the forcing frequency can be evolved continuously in time. The classic linear oscillator (with a parabolic potential well) is used as an introduction to illustrate basic features of the experiment and its response. Then, a track with a double well is used to assess nonstationary frequency effects on certain nonlinear characteristics, specifically amplitude jumps and flip bifurcations.

    Keywords:
    Resonance;Dynamics;Bifurcation (mathematics);Vibrations (mechanical);Mathematical models;Nonlinear systems;Rotating machinery;