基于分数阶导数的沥青胶浆动态力学特性  

Dynamic performances of asphalt mortar based on fractional derivatives

作　　者：李锐铎[1,2] 乐金朝[1] 李瑞霞[1] 姚立阳[2] 

机构地区：[1]郑州大学水利与环境学院,郑州450002 [2]河南城建学院交通运输工程学院,河南平顶山467036

出　　处：《振动与冲击》2016年第15期46-49,92,共5页Journal of Vibration and Shock

基　　金：河南省科技攻关计划(112102310602);教育部"长江学者和创新团队发展计划"创新团队(IRT1186);水利与交通基础设施安全防护河南省协同创新中心(2012-6)

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A值和γ值的新方法。Asphalt mortars were prepared with different ratios of filler bitumen of 0.62,0.82,1 .02,1 .22 and 1 .44.Then the dynamic behaviors of asphalt mortars at 20℃,30℃,40℃ and 50℃ were studied with a dynamic shear rheometer.The relationships among complex modulus,rutting resistance factor and phase angle udner different ratios of filler bitumen and test temperatures were studied.The relationships between Nutting creep equation and Abel sticky pot creep model of classic fractional order derivatives were established based on the theory of fractional derivatives.The dynamic responses of fractional order Riemann-Liouville operator viscoelastic creep constitutive model were analyzed.The model parameters A and γwere determined using the results of dynamic shear rheological tests.

关 键 词：沥青胶浆 粉胶比 动态剪切流变试验 分数阶导数 Nutting蠕变方程 变形因子 黏弹因子 

分 类 号：U414[交通运输工程—道路与铁道工程]