Nonlinear normal modes of a self-excited system driven by parametric and external excitations
Artykuł w czasopiśmie
| Status: | |
| Autorzy: | Warmiński Jerzy |
| Rok wydania: | 2010 |
| Wersja dokumentu: | Drukowana | Elektroniczna |
| Język: | angielski |
| Numer czasopisma: | 4 |
| Wolumen/Tom: | 61 |
| Strony: | 677 - 689 |
| Impact Factor: | 1,741 |
| Web of Science® Times Cited: | 37 |
| Scopus® Cytowania: | 41 |
| Bazy: | Web of Science | Scopus |
| Efekt badań statutowych | NIE |
| Materiał konferencyjny: | NIE |
| Publikacja OA: | NIE |
| Abstrakty: | angielski |
| Vibrations of a nonlinear coupled parametrically and self-excited oscillators driven by an external harmonic force are presented in the paper. It is shown that if the force excites the system inside the principal parametric resonance then for a small excitation amplitude a resonance curve includes an internal loop. To find the analytical solutions the problem is reduced to one degree of freedom oscillators by applications of Nonlinear Normal Modes (NNMs). The NNMs are formulated on the basis of free vibrations of a nonlinear conservative system as functions of amplitude. The analytical results are validated by numerical simulations and an essential difference between linear and nonlinear modes is pointed out. |
