Abstract

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.

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