Four kinds of viscoelastic vibration isolator models,namely Maxwell model,Zener model,fractional Max-well model and fractional Zener model,are established,which can be used in the modeling of the vibration isolation systems of construction machinery.The constitutive equations and complex stiffness expressions of the four models are given.Based on this,a single-degree-of-freedom model of the base vibration isolation system with simple har-monic excitation is established.By dimensionless parameterization of the motion equation,the frequency response function is derived,and the amplitude-frequency and phase-frequency characteristic curves are obtained.The effects of damping ratio and fractional order on the amplitude and phase angle are discussed.By analyzing the influence of parameter variation trend,it provides certain theoretical basis for designing reasonable parameter value,so as to achieve an expected vibration isolation effect.
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