Abstract
In this study, on the basis of the SD (smooth and discontinuous) oscillator, we analyze the sliding bifurcations of a two DOF self-excited system driven by the classical conveyor belt friction. In order to elaborate the nonsmooth model named the self-excited SD oscillator, we model the friction of the conveyor belt of this system as Coulomb friction. Switching surfaces and sliding regions of this nonsmooth system are obtained based on the Filippov theory. The numerical simulations are performed to present the various scenarios of sliding bifurcation and chaotic attractors in the system. The results of this study give us an opportunity to understand clearly the bifurcation mechanism of the rich nonlinear frictional dynamics in machinery field.
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