Stability Analysis of Beam’s Non-Linear Vibration with Time-Delay Feedback Control
The stability control domain of beam’s non-linear vibration with time-delay feedback controller was investigated. The non-linear dynamic equation of beam was expanded into a series of linear equations by multi-scales method. The equations of the phase trajectory could be gotten from secular terms. The conditions of the negative real roots could be calculated by the method of Routh-Hurwitz. The stable time-delay domain of beam’s non-linear vibration was given.
C. C. Liu and D. H. Zhang, "Stability Analysis of Beam’s Non-Linear Vibration with Time-Delay Feedback Control", Advanced Materials Research, Vols. 383-390, pp. 1090-1094, 2012