Vibration analysis of a self-excited system with parametric forcing and nonlinear stiffness

Authors
Litak, G Spuz-Szpos, G Szabelski, K Warminski, J
Citation
G. Litak et al., Vibration analysis of a self-excited system with parametric forcing and nonlinear stiffness, INT J B CH, 9(3), 1999, pp. 493-504
Citations number
16
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
02181274 → ACNP
Volume
9
Issue
3
Year of publication
1999
Pages
493 - 504
Database
ISI
SICI code
0218-1274(199903)9:3<493:VAOASS>2.0.ZU;2-0
Abstract
Vibrations of a self-excited oscillator under parametric excitation with no nlinear stiffness were investigated in this paper. Differential equation of motion includes van der Pol, Mathieu and Duffing terms. Vibrations synchro nization, stability of solutions were examined by means of the multiple tim e scale method and Floquet theory. Chaotic solutions were found by means of Lyapunov exponent.