Abstract
We aim to study controlling nonlinear chaotic response in the Jeffcott rotor containing a crack in shaft. Considering the opening and closing of crack in rotation, we derive the motion equations of rotor. Based on the delay feedback control (DFC) method and perturbation of sinusoid periodic excitation, the novel chaos control scheme - sinusoid delay feedback (SDF) method - is presented. By choosing the appropriate coefficients, the chaotic response can be so controlled as to become gradually a periodic motion. By computing the largest Lyapunov exponent, the optimal control coefficients can be selected. From simulation results, it is shown that varying the weight coefficient and amplitude coefficient, the chaotic response of rotor containing a crack can be so controlled as to become gradually a synchronous, periodic-2 or periodic-4 motion.
| Original language | English |
|---|---|
| Pages (from-to) | 572-575 |
| Number of pages | 4 |
| Journal | Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University |
| Volume | 23 |
| Issue number | 5 |
| State | Published - Oct 2005 |
Keywords
- Chaos control
- Rotor containing a crack
- Sinusoid-delay-feedback control scheme