Abstract
In this paper, a mass spring vibrating system with cubic nonlinear stiffness is studied. The delayed feedback control is applied to control the vibration of the system when the primary resonance occurs. The method of multiple scales is employed to obtain the approximate solution of the system. The effects of damp coefficient, nonlinear stiffness coefficient, gain and time delay on amplitude frequency response curves of the system is analyzed. The stability of the system is analyzed by Routh-Hurwitz Criterion. The results show that the vibration of the system could be suppressed by choosing appropriate values of time delay. The numerical simulation is agreement with the analytical solutions well.
Published Version
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