Abstract
A physical model to examine impact oscillators has been developed and analyzed. The model accounts for the viscoelastic impacts and is capable to mimic the dynamics of a bounded progressive motion (a drift), which is important in practical applications. The system moves forward in stick-slip phases, and its behavior may vary from periodic to chaotic motion. A nonlinear dynamic analysis reveals a complex behavior and that the largest drift is achieved when the responses switch from periodic to chaotic, after a cascade of subcritical bifurcations to period one. Based on this fact, a semianalytical solution is constructed to calculate the progression of the system for periodic regimes and to determine conditions when periodicity is lost.
Original language | English |
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Article number | 056224 |
Number of pages | 9 |
Journal | Physical Review. E, Statistical, Nonlinear and Soft Matter Physics |
Volume | 64 |
Issue number | 5 |
Early online date | 25 Oct 2001 |
DOIs | |
Publication status | Published - 1 Nov 2001 |
Keywords
- DRY FRICTION MODEL
- GRAZING BIFURCATIONS
- RATE PREDICTION
- OSCILLATOR
- DYNAMICS
- BEHAVIOR