Frequency locking in a nonlinear MEMS oscillator driven by harmonic force and time delay
Artykuł w czasopiśmie
| Status: | |
| Autorzy: | Warmiński Jerzy |
| Rok wydania: | 2015 |
| Wersja dokumentu: | Elektroniczna |
| Arkusze wydawnicze: | 0.8 |
| Język: | angielski |
| Numer czasopisma: | 2 |
| Wolumen/Tom: | 3 |
| Strony: | 122 - 136 |
| Scopus® Cytowania: | 14 |
| Bazy: | Scopus | Web of Science | SCOPUS |
| Efekt badań statutowych | NIE |
| Materiał konferencyjny: | NIE |
| Publikacja OA: | TAK |
| Licencja: | |
| Sposób udostępnienia: | Witryna wydawcy |
| Wersja tekstu: | Ostateczna wersja opublikowana |
| Czas opublikowania: | W momencie opublikowania |
| Abstrakty: | angielski |
| Vibrations of a nonlinear self- and parametrically excited MEMS device driven by external excitation and time delay inputs are analysed in the paper. The model of MEMS resonator includes a nonlinear van der Pol function producing self-excitation, a periodically varied coefficient which represents Mathieu type of parametric excitation and furthermore, periodic force acting on the resonator. Analysis of frequency locking zones is presented with suggestions for a strategy of a closed loop control. Interactions between self- and parametric excitation lead to quasi-periodic oscillations but under specific conditions the motion becomes harmonic. The so called frequency locking, near the resonance zones is observed. This is caused by the second kind Hopf bifurcation (Neimark–Sacker bifurcation). The amplitudes of periodic oscillations are determined analytically by the multiple time scale method (MS) in the second order perturbation. The effect of external force has been observed by the internal loop occurring inside the frequency locking zone. The localisation of the zones and existence of the internal loop can be controlled by a selection of gains and time delay of displacement or velocity feedbacks. |
