Fractional order viscoelastic model reflecting correlation between concrete material damping and load frequency based on multi-sample data

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (15) : 201-208.

MEI Shengqi1,2, LI Shaohua1, LI Pengfei3, XU Haoran2, ZHANG Yuanhao2

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Abstract

As a parameter reflecting the energy dissipation characteristics of a structure, damping has an important effect on dynamic response analysis. For the damping frequency coherence of concrete under the condition of forced vibration, there is no unified conclusion. In this paper, the damping data of 152 groups of concrete materials are firstly analyzed. It is found that in the range <3.0Hz, the damping of concrete materials decreases nonlinearly with the increase of frequency, but the statistical results are discrete. Then the classical viscoelastic model and fractional viscoelastic model were used to analyze the frequency correlation of energy dissipation. In order to determine the effectiveness of fractional order model, the test data of ordinary concrete are further compared and analyzed. It is found that the experimental results show that the damping nonlinearity decreases with the increase of frequency, and the fractional-order model can better reflect the energy dissipation characteristics of concrete materials, which provides a reference for the application of fractional-order calculus in the dynamic performance analysis of concrete.
Keyword: Concrete material damping; Frequency correlation; Fractional calculus; Viscoelastic theory

Key words

Concrete material damping / Frequency correlation / Fractional calculus / Viscoelastic theory

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MEI Shengqi1,2, LI Shaohua1, LI Pengfei3, XU Haoran2, ZHANG Yuanhao2. Fractional order viscoelastic model reflecting correlation between concrete material damping and load frequency based on multi-sample data[J]. Journal of Vibration and Shock, 2022, 41(15): 201-208

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