超分子作用阻尼材料的动态力学模型修正  

Modification of the Dynamic Mechanical Model of Damping Materials in Supramolecular Interaction

作　　者：段宇星[1] 赵苗苗[1] 苏渤[1] 董万元[1] DUAN Yuxing;ZHAO Miaomiao;SU Bo;DONG Wanyuan(Aircraft Strength Rescarch Institute of China Xi'an,710065,China)

机构地区：[1]中国飞机强度研究所,西安710065

出　　处：《振动．测试与诊断》2020年第3期465-471,622,共8页Journal of Vibration,Measurement & Diagnosis

基　　金：航空科学基金资助项目(2017ZF23)。

摘　　要：研究了超分子作用对材料阻尼性能的影响,建立具有超分子修正项的分数阶导数Kelvin-SI模型。采用模型对材料的动态力学性能进行描述,研究其在不同环境条件下的性能变化情况。模型可以准确有效地对材料在不同温度(240~420K)、不同频率(1~100Hz)下的存储模量以及损失模量进行描述。未修正的分数阶Kelvin-Voigt模型计算的损失模量偏小而存储模量偏大,拟合程度较差,拟合度R-squared值仅为0.787 3。修正后的材料模型拟合较好,拟合度R-squared值在0.98以上。材料的存储模量以及损耗因子都随着温度的增加逐渐减小,随频率的增加逐渐增大。模型的各项参数与物理事实相符合,参数的变化可以对材料的动态力学行为的变化进行正确的描述。The effect of damping materials on supramolecular interaction is studied,and a fractional derivative Kelvin-SI model with supramolecular corrected item is established.Then the properties of the materials at various frequenciesand temperature environments are studied by characterizing the dynamic mechanical properties using the new model.Furthermore,the storage and the loss moduli of the materialscanbe accurately described at various temperatures(240~420 K)and different frequencies(1~100 Hz)according to the new model.It is shown that the calculation by using the uncorrected fractional Kelvin-Voigt model is inconsistent with the measured values and the R-squared value is only 0.7873.However,the new corrected model is fitted well and the R-squared value is above 0.98.Finally,the dynamic moduli are both decreasing when the temperature is increasing or the frequency is decreasing.The parameters of the modified model canbe fitted with the physical phenomenon,and the change of the dynamic performance can be precise characterized by varying the parameters of the modified model.

关 键 词：动态力学模型 分数阶导数模型 损失模量 超分子作用 

分 类 号：O326[理学—一般力学与力学基础] TH145.4[理学—力学]