橡胶阻尼材料分数微分模型研究

Study on rubber damping materials fractional derivative model

推导了橡胶阻尼材料的Zener四参数分数微分模型以及五参数分数微分模型,并分析了微分阶数对于各模型的影响。通过动态力学热分析实验,拟合出两种分数微分模型的参数值,并与实验值进行对比分析,发现五参数分数微分模型能够较好地描述耗能模量关于频率对数非对称的橡胶阻尼材料的频率特性,而Zener四参数分数微分模型则仅仅适用于耗能模量关于频率对数光滑对称的橡胶阻尼材料。

This paper deduced the Zener four-parameter fractional derivative model and the five-parameter fractional derivative model, and the analysis of the effect of the derivative number on these two models had been made. By the DMTA test, the parameters of both two models were easy to fit, and the comparison showed that the five-parameter fractional derivative model could describe the rubber damping materials with asymmetric peak of loss modulus, while the Zener four-parameter fractional derivative model could only describe the rubber damping materials with symmetric peak of loss modulus.