Based on the arctangent function, this work proposes a parametric model to predict the mechanical behavior of a shear thickening fluid damper. The parameters of this model are a function of the maximum operating velocity of the damper. The validity and accuracy of the model's damping force and displacement relationship under different sinusoidal loads and various seismic wave excitations are verified based on experimental data. On this basis, compared to a viscous damper, the finite element models of a stay-cable and shear thickening fluid damper system are established to evaluate the vibration reduction performance and mechanical advantages of the shear thickening fluid damper. The research shows that a shear thickening fluid damper can significantly reduce the amplitude of the stay-cable's primary resonance and main parametric vibration, with displacement reduction rates of 72.5 and 81.9%, respectively. Importantly, compared to viscous dampers, under the premise that both have the same damping force, the vibration reduction effect of shear thickening fluid dampers is more significant, 1.3 times and 1.15 times that of viscous dampers, and the stroke is only 55.2 and 59.7% of that of viscous dampers. These data indicate that shear thickening fluid dampers can provide a more significant damping force for stay-cable in limited space.
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