Nonlinear response of a flexible curved panel exhibiting bifurcation to fully developed chaos is demonstrated along with the sensitivity to small perturbations from the initial forcing. The response is determined from the measured time series at two fixed points. The panel is forced by an external nonharmonic multifrequency and monofrequency sound field. Using a low-power time-continuous control, carefully tuned to each initial forcing condition, produces large long-term effects on the dynamics toward taming chaos. Without knowledge of the initial forcing, control may be achieved by destructive interference. In this case, the control power is proportional to the loading power. Calculation of the correlation dimension and the estimation of positive Lyapunov exponents, in practice, are the proof of chaotic response.
Controlling vibrational chaos of a curved structure
Aktive Dämpfung chaotischer Schwingungen eines gekrümmten Schalentragwerks
AIAA Journal ; 39 , 4 ; 581-589
2001
9 Seiten, 9 Bilder, 42 Quellen
Aufsatz (Zeitschrift)
Englisch
Controlling Vibrational Chaos of a Curved Structure
| AIAA | 2001
FLUID DYNAMICS - Controlling Vibrational Chaos of a Curved Structure
| Online Contents | 2001
Vibrational power transmission in curved beams
| Online Contents | 2000
| Online Contents | 1995