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- W2048093088 abstract "This paper focuses on examining the global dynamics of a simple model of gear rattle. An impact map is used to describe a pair of meshing gears, where the nonlinearity arises from the backlash clearance between the gear teeth. Despite the model's simplicity, rich and complex dynamics that lead to gear rattle are observed. To gain insight into the underlying dynamics, a combination of basin-of-attraction computations, explicit solution construction, one- and two-parameter bifurcation diagrams, and manifold computations is employed. It is found that there is a complex interplay between both smooth and discontinuity-induced bifurcations, and that two codimension-two bifurcations act as organizing centers for the global dynamics. Additionally, computation of the Floquet multipliers along the grazing curve reveals an interval of robust chaos in between the codimension-two points." @default.
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- W2048093088 date "2009-01-01" @default.
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- W2048093088 title "The Effect of Codimension-Two Bifurcations on the Global Dynamics of a Gear Model" @default.
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- W2048093088 doi "https://doi.org/10.1137/090759641" @default.
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