Parameterized mathematical model of viscoelastic material under temperature and frequency variation

HOU Hong GAO Xing SUN Liang YANG Jianhua

Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (21) : 209-214.

PDF(1196 KB)
PDF(1196 KB)
Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (21) : 209-214.
论文

Parameterized mathematical model of viscoelastic material under temperature and frequency variation

  • HOU Hong GAO Xing SUN Liang YANG Jianhua
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Abstract

The complex modulus and the loss factor of viscoelastic material vary with the temperature and frequency. To illustrate the variation relationship, the so-called five-parameters Zener model is proposed in this paper based on fractional derivative model and temperature-frequency superposition principle. The parameters of the Zener model are estimated by curve fitting from the dynamic mechanical thermal analyzer (DMA) tested data. The results show that the proposed model well reflects the variation relationship of the dynamic constitutive behaviour of viscoelastic material with temperatures and frequencies.



Key words

viscoelastic material / temperature-frequency superposition principle / five-parameters Zener model / Dynamic mechanical property

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HOU Hong GAO Xing SUN Liang YANG Jianhua. Parameterized mathematical model of viscoelastic material under temperature and frequency variation[J]. Journal of Vibration and Shock, 2013, 32(21): 209-214
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