An active-passive nonlinear vibration isolation method based on optimal time-delay feedback control

摘要: The effective frequency of nonlinear vibration isolation is generally greater than the jump-down frequency, i. e. the jumping frequency range due to the multiple solutions of the nonlinear dynamic equations is excluded. However, when the oscillation amplitude is on the non-resonance branch of the response curve, the nonlinear isolator is capable of reducing the transmitted force efficiently. How to make the response amplitude be on the non-resonance branch by control strategy is the key for isolator design in the jumping frequency range. In this paper, an optimal time-delay feedback control method is proposed to shift the amplitude from resonance branch to non-resonance branch, when the amplitude is on the resonance branch due to certain initial conditions or variation of excitation frequency. Although the control makes system chaotic, the oscillation amplitude is reduced significantly. Furthermore, the control is …