Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838508 | Nonlinear Analysis: Real World Applications | 2008 | 19 Pages |
Abstract
The criterion for grazing motions in a friction-induced oscillator with a time-varying transport belt is obtained. The three mappings for such a friction-induced oscillator are introduced for analytical prediction of the grazing motions. The sufficient and necessary conditions of grazing are expressed from mappings. With system parameter variations, the initial and final switching sets of grazing mapping are illustrated. Numerical illustrations of grazing motions are carried out from analytical predictions. This investigation provides a technique for how to determine the grazing on the time-varying boundary in discontinuous dynamical systems.
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Authors
Brandon C. Gegg, Albert C.J. Luo, Steve C. Suh,