分数导数三参数标准固体黏弹性材料的耗散性能  

The Dissipative Properties of Fractional Derivative Three-Parameter Viscoelastic Standard Solid Model

作　　者：吴峰[1] 吕强[1] 刘林超[1] 

机构地区：[1]信阳师范学院建筑与土木工程学院,河南信阳464000

出　　处：《信阳师范学院学报（自然科学版）》2017年第2期336-339,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：河南省科技计划项目(142102210063);河南省高等学校重点科研项目(15A560036)

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.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.

关 键 词：分数导数 三参数固体 本构方程 耗散性能 

分 类 号：TU323.2[建筑科学—结构工程]