基于Kelvin-Voigt分数阶导数模型的有机硅阻尼材料温频特性研究  

Research on Temperature Frequency Characteristics of Silicone Damping Materials Based on Kelvin-Voigt Fractional Derivative Model

作　　者：赵苗苗 段宇星[1,2] 杨利 苏渤[1,2] 林雯 ZHAO Miaomiao;DUAN Yuxing;YANG Li;SU Bo;LIN Wen(Xi′an Ansilex Aviation Technology Co.,Ltd.,Xi′an 710065,Shaanxi;Aircraft strength research institute of China,Xi′an 710065,Shaanxi)

机构地区：[1]西安安思锐科航空科技有限公司,西安710065 [2]中国飞机强度研究所,西安710065

出　　处：《有机硅材料》2023年第3期26-31,共6页Silicone Material

摘　　要：黏弹性阻尼材料具有温频等效特性。基于黏弹性材料的Kelvin-Si分数阶导数模型及Vogel-Fulcher-Tammann黏度方程,提出了一种黏弹性材料的分数阶导数时温等效模型Kelvin-Si-TTS,推导出水平及垂直平移因子表达式;并得出了Kelvin-Si分数阶导数模型下的储存模量、损耗模量表达式。以热动态机械分析仪进行223~343 K扫频试验,采用Kelvin-Si-TTS模型获得了不同温度时材料在参考温度293 K下的平移因子,并对黏弹性阻尼材料进行了频率外推。结果表明:对热动态机械分析仪及Kelvin-Si-TTS模型下的平移因子进行拟合时,两者拟合度较高;采用两种平移因子对223~343 K内数据外推,两者均外推到10^(-4)~10^(7)Hz频率范围内,表明Kelvin-Si-TTS模型具有较好的预测能力,同时表明黏弹性阻尼材料可以较好地应用于高频工况下的减振降噪领域;该研究可为黏弹性阻尼材料的动力学性能的机理研究提供一定理论参考。The viscoelastic damping materials have temperature-frequency equivalent properties.Based on the model of Kelvin-Si fractional derivative and the viscosity equation of Vogel-Fulcher-Tammann,a time-temperature equivalent model of Kelvin-Si-TTS for the fractional derivative of viscoelastic materials was proposed,and the horizontal and vertical translation factors were derived.Thus the storage and loss modulus under Kelvin-Si fractional derivative model were obtained.The thermal dynamic mechanical analyzer was used in the frequency sweep test in(223~343)K.The Kelvin-Si-TTS model was used to obtain the translation factors at different temperatures at the reference temperature of 293K,and the frequency of viscoelastic damping materials was extrapolated.The results showed that the translation factors of the thermal dynamic mechanical analyzer and Kelvin Si TTS models fitted well with a high degree;both translation factors were used to extrapolate the data in the temperature range of(223-343)K,and both were extrapolated to the frequency of 10^(-4)~10^(7),indicating that Kelvin-Si-TTS model has a good prediction ability,and the viscoelastic damping materials can be well applied in the field of vibration and noise reduction under high-frequency.The study provided a theoretical reference for the mechanism research on the dynamic properties of viscoelastic damping materials.

关 键 词：黏弹性 动力学模型 有机硅材料 时温等效 

分 类 号：TQ333.93[化学工程—橡胶工业]