The equivalent Havriliak–Negami model for characterizing the dynamic properties of viscoelastic dampers

摘要

Viscoelastic (VE) dampers are extensively utilized in the earthquake mitigation of structures in civil engineering. The description of the dynamic properties is an ongoing issue for VE dampers due to their significant temperature, frequency, and strain amplitude dependences. In this paper, a novel mathematical model, the equivalent Havriliak--Negami (EHN) model, is proposed to characterize the dynamic properties of VE dampers by incorporating the time-temperature superposition principle and amplitude-temperature equivalent principle. Performance tests on VE dampers under different temperatures, frequencies, and strain amplitudes are conducted. In conjunction with the test results, the EHN model is validated through comparison with the popular VE models by simulating experiments. Based on the proposed model, a generalized master curve for simultaneously reflecting the dynamic properties of VE dampers at different temperatures, frequencies, and strain amplitudes is finally presented. The results demonstrate that the EHN model is reliable in characterizing the dynamic behaviors of VE dampers with high accuracy.