基于分数阶导数的沥青胶浆动态力学特性

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (15) : 46-49.

论文

基于分数阶导数的沥青胶浆动态力学特性

李锐铎1,2，乐金朝1，李瑞霞1，姚立阳2

作者信息 +

Analyses of Dynamic Mechanical Performance of Asphalt Mortar Based on Fractional Derivative

LI Ruiduo1,2, YUE Jinchao1, LI Ruixia1 YAO Liyang2

Author information +

文章历史 +

摘要

通过对粉胶比为0.62、0.82、1.02、1.22和1.42的沥青胶浆在20℃、30℃、40℃和50℃条件下进行动态频率扫描试验，研究了不同粉胶比及试验温度条件下沥青胶浆复模量、抗车辙因子和相位角的变化规律。基于分数阶导数理论，建立了Nutting蠕变方程与经典分数阶导数Abel黏壶蠕变模型之间的关系，从而明确了Nutting蠕变方程各参数的物理意义。对分数阶Riemann-Liouville算子黏弹性蠕变本构模型的动态力学响应进行分析，提出了利用沥青胶浆动态频率扫描试验结果确定蠕变本构模型中参数值和值的新方法。

Abstract

The asphalt mortar were prepared with different ratios of filler bitumen of 0.62、0.82、1.02、1.22 and1.44. Then The dynamic mechanical behavior of asphalt mortar at 20℃, 30℃, 40℃ and 50℃ were studied with dynamic shear rheometer. The relationship among complex modulus, rutting resistance factor, phase angle and different ratio of filler bitumen and test temperature were studied. The relationship between the Nutting creep equation and Abel sticky pot of the classic fractional order derivative creep model was established based on the fractional derivative. The dynamic mechanical response of fractional derivative Riemann-Liouville operator viscoelasticity creep constitutive model with of were analyzed. The model parameter value of and were determined by fitting test results of dynamic shear rheological tests.

导出引用

李锐铎1,2，乐金朝1，李瑞霞1，姚立阳2. 基于分数阶导数的沥青胶浆动态力学特性[J]. 振动与冲击, 2016, 35(15): 46-49

LI Ruiduo1,2, YUE Jinchao1, LI Ruixia1 YAO Liyang2. Analyses of Dynamic Mechanical Performance of Asphalt Mortar Based on Fractional Derivative[J]. Journal of Vibration and Shock, 2016, 35(15): 46-49

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