Research Papers

Theoretical and Experimental Study of Viscoelastic Damper Based on Fractional Derivative Approach and Micromolecular Structures

[+] Author and Article Information
Yeshou Xu

Key Laboratory of C&PC Structures
of the Ministry of Education,
Southeast University,
Nanjing 210096, China
e-mail: xuyeshou@163.com

Zhao-Dong Xu

Key Laboratory of C&PC Structures
of the Ministry of Education,
Southeast University,
Nanjing 210096, China
e-mail: zhdxu@163.com

Ying-Qing Guo

Mechanical and Electronic Engineering School,
Nanjing Forestry University,
Nanjing 210037, China;
Nanjing Dongrui Damping Control
Technology Co., Ltd.,
Nanjing 210096, China
e-mail: gyingqing@126.com

Teng Ge

Key Laboratory of C&PC Structures
of the Ministry of Education,
Southeast University,
Nanjing 210096, China
e-mail: seuergeteng@163.com

Chao Xu

Key Laboratory of C&PC Structures
of the Ministry of Education,
Southeast University,
Nanjing 210096, China
e-mail: xuchaolove11@126.com

Xinghuai Huang

Key Laboratory of C&PC Structures
of the Ministry of Education,
Southeast University,
Nanjing 210096, China
e-mail: huangxh@seu.edu.cn

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 9, 2018; final manuscript received December 29, 2018; published online February 13, 2019. Assoc. Editor: A. Srikantha Phani.

J. Vib. Acoust 141(3), 031010 (Feb 13, 2019) (12 pages) Paper No: VIB-18-1254; doi: 10.1115/1.4042517 History: Received June 09, 2018; Revised December 29, 2018

Viscoelastic dampers are one of the most popular earthquake mitigation devices for building structures with a large number of applications in civil engineering. The seismic performance of viscoelastic dampers is greatly affected by viscoelastic materials. The present paper addresses the theoretical and experimental studies of the viscoelastic damper. The regular polyhedron chain network models for viscoelastic materials are proposed based on the molecular chain network microstructures and the temperature–frequency equivalent principle. Several dynamic property tests for the viscoelastic damper at different temperatures, frequencies, and displacements are carried out, and the proposed models are verified by comparing the numerical and experimental results. The comparisons show that the viscoelastic damper has perfect energy dissipation capacity, and the regular polyhedron chain network models can well describe the mechanical properties of the viscoelastic damper at different environmental temperatures and excitation frequencies.

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Fig. 1

The schematic diagram of chain network microstructures of viscoelastic materials

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Fig. 2

The regular polyhedron molecular chain network structures: (a) regular tetrahedron, (b) regular hexahedron, (c) regular octahedron, (d) regular dodecahedron, and (e) regular icosahedron

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Fig. 3

The fractional mathematical model for the single molecular chain: (a) the fractional Zener model and (b) the fractional Maxwell model

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Fig. 4

Property test description: (a) configuration schematic of the viscoelastic damper, (b) specimen of the viscoelastic damper, and (c) performance tests of the viscoelastic damper

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Fig. 5

Representative hysteresis curves of the viscoelastic damper at different temperatures: (a) d =0.5 mm, f =1.0 Hz and (b) d =1.5 mm, f =0.5 Hz

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Fig. 6

Representative hysteresis curves of the viscoelastic damper at different frequencies: (a) T = −10 °C, d =0.5 mm and (b) T =0 °C, d =1.0 mm

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Fig. 7

Representative hysteresis curves of the viscoelastic damper at different displacements: (a) T = −5 °C, f =0.2 Hz and (b) T =0 °C, f =0.1 Hz

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Fig. 8

Force–displacement hysteresis curve

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Fig. 12

Experimental and numerical result comparisons for different temperatures when d =2.0 mm: (a) G1 and (b) η. The lines with the square symbol denote the results when f =0.1 Hz, and the lines with the circle symbol represent the results when f =0.5 Hz.

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Fig. 11

Dynamic characteristics of the viscoelastic damper at different displacements: (a) G1, f =0.2 Hz, (b) G1, T =30 °C, (c) η, f =0.2 Hz, (d) η, T =30 °C, (e) Ed, f =0.2 Hz, and (f) Ed, T =30 °C

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Fig. 10

Dynamic characteristics of the viscoelastic damper at different frequencies: (a) G1, d =0.5 mm, (b) G1, T =0 °C, (c) η, d =0.5 mm, (d) η, T =0 °C, (e) Ed, d =0.5 mm, and (f) Ed, T =0 °C

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Fig. 9

Dynamic characteristics of the viscoelastic damper at different temperatures: (a) G1, d =1.0 mm, (b) G1, f =0.5 Hz, (c) η, d =1.0 mm, (d) η, f =0.5 Hz, (e) Ed, d =1.0 mm, and (f) Ed, f =0.5 Hz



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