Chaotic motion in the resonant separatrix bands of a Mathieu–Duffing oscillator with a twin-well potential
The ( M:1)-resonant bands in the left and right potential wells are skew-symmetric, and the (2 M:1)-resonant bands of the large orbit motion are symmetric. The analytical conditions for the onset and destruction of a resonant band are developed through the incremental energy approach. The numerical...
Gespeichert in:
Veröffentlicht in: | Journal of sound and vibration 2004-06, Vol.273 (3), p.653-666 |
---|---|
1. Verfasser: | |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | The (
M:1)-resonant bands in the left and right potential wells are skew-symmetric, and the (2
M:1)-resonant bands of the large orbit motion are symmetric. The analytical conditions for the onset and destruction of a resonant band are developed through the incremental energy approach. The numerical predictions of such onset and destruction are also completed by the energy increment spectrum method. The sub-resonance interaction occurs for strong excitations, which needs to be further investigated. These results are applicable to the small- and large-orbit motions of post-buckled structure under a parametric excitation. |
---|---|
ISSN: | 0022-460X 1095-8568 |
DOI: | 10.1016/S0022-460X(03)00564-9 |