中文摘要：

对分数导数三参数黏弹固体性材料的耗散性能进行了研究.基于黏弹性理论和分数阶导数理论,建立了分数导数黏弹性三参数标准固体模型,得到了分数导数黏弹性三参数固体模型的复柔量,并在此基础上得到了其耗损比和内摩擦角,以数值算例的形式分析了耗损比和内摩擦角随频率的变化规律.结果表明：在低频下的材料接近弹性材料;相反,在高频下,在每个周期有一个微小的耗散,并且趋近于一个有限值.频率越高,三参数固体的内耗频谱峰值所对应的横坐标值越接近1.

英文摘要：

The dissipative properties of fractional derivative three-parameter standard solid model were investiga- ted. Fractional derivative three-parameter viscoelastic standard solid model was established base on the viscoelastic the- ory and the theory of fractional derivative, the compliance of fractional derivative three-parameter viscoelastic solid model was calculated, then its loss ratio and angle of internal friction angel were worked out. Finally, in the form of nu- merical calculation, the changing characteristics of loss ratio and internal friction＇ s angle with the frequency were ana- lyzed. The results showed that the materials were close to the elastic material under low frequency. On the contrary, the materials have a tiny dissipation in each cycle and tend to a finite value under high frequency. The abscissa value of three-parameter solid＇ s peak internal friction approximates to one with higher frequency.