变频变温条件粘弹材料参数化数学模型  

Parameterized mathematical model of a viscoelastic material under variations of temperature and frequency

作　　者：侯宏[1] 高星[1] 孙亮[1] 杨建华[1] 

机构地区：[1]西北工业大学航海学院,西安710072

出　　处：《振动与冲击》2013年第21期209-213,共5页Journal of Vibration and Shock

基　　金：国家自然科学(11204242);西安市科技计划(CXY1125);博士后科学基金(2011M501477)

摘　　要：采用分数导数模型并结合温频等效原理,提出了粘弹性材料的复模量、损耗因子与温度、频率关系的参数化数学模型——五参数Zener模型;结合DMA测试实验数据对模型参数进行了拟合,结果表明:该模型能够很好地反映粘弹性材料在变频、变温条件下的动态力学特性。The complex modulus and the loss factor of a viscoelastic material vary with temperature and frequency. To illustrate the variation relationship, the so-called five-parameter Zener model was proposed here based on the fractional derivative model and the temperature-frequency superposition principle. The parameters of Zener model were estimated with curve-fitting from the dynamic mechanical thermal analyzer （DMA） tested data. The results showed that the proposed model reflects the dynamic mechanical properties of the viscoelastic material under variations of temperature and frequency very well.

关 键 词：粘弹性材料 温频等效原理 五参数Zener模型 动态力学特性 

分 类 号：TB535.1[理学—物理]