Vol. 16, No. 4, 2021

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

Qiang-Qiang Li, Zhao-Dong Xu, Yao-Rong Dong, Zhen-Hua He, Yeshou Xu and Chen Zhu

Vol. 16 (2021), No. 4, 471–486
Abstract

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.

Keywords
viscoelastic dampers, dynamic properties, mathematical model, performance tests, master curve
Milestones
Received: 27 December 2020
Revised: 25 March 2021
Accepted: 10 June 2021
Published: 9 November 2021
Authors
Qiang-Qiang Li
Key Laboratory of C&PC Structures of the Ministry of Education
Southeast University
Si-Pai Lou 2#
Nanjing, 210096
China
Zhao-Dong Xu
Key Laboratory of C&PC Structures of the Ministry of Education
Southeast University
Si-Pai Lou 2#
Nanjing, 210096
China
Yao-Rong Dong
Key Laboratory of C&PC Structures of the Ministry of Education
Southeast University
Si-Pai Lou 2#
Nanjing, 210096
China
Zhen-Hua He
School of Civil Engineering, Xi’an University of Architecture and Technology
Xi’an University of Architecture and Technology
No. 13 Middle Yanta Road, Beilin District
Xi’an, 710055
China
Yeshou Xu
Key Laboratory of C&PC Structures of the Ministry of Education
Southeast University
Si-Pai Lou 2#
Nanjing, 210096
China
Chen Zhu
Key Laboratory of C&PC Structures of the Ministry of Education
Southeast University
Si-Pai Lou 2#
Nanjing, 210096
China