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Mason, JF,Humphries, N,Piiroinen, PT
2014
January
Mathematics and Computers in Simulation
Numerical analysis of codimension-one, -two and -three bifurcations in a periodically-forced impact oscillator with two discontinuity surfaces
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Optional Fields
Impact oscillator Bifurcation analysis Nonsmooth folds Discontinuity geometry MATHEMATICAL-MODELS GEAR DYNAMICS SYSTEMS STIFFNESS BACKLASH RATTLE
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98
110
We analyse a model of a periodically-forced impact oscillator with two discontinuity surfaces. This model describes a pair of meshing gears, where the discontinuities arise from impacts between the gear teeth. A classical approach of basin-of-attraction computations and bifurcation diagrams is used in conjunction with the recently developed discontinuity-geometry methodology to provide new insights into the extremely rich dynamical behaviour observed. In particular, we show that all periodic solutions with impacts emanate from a codimension-three bifurcation. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.
DOI 10.1016/j.matcom.2012.08.010
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