分数阶导数沥青胶浆低温黏弹性损伤蠕变模型
发布时间：2019-06-12 02:50
【摘要】：基于分数阶导数理论,建立了幂函数经验蠕变模型与分数阶导数Abel黏壶蠕变模型之间的关系,明确了幂函数各参数的物理意义.引入Weibull分布函数构建了新的分数阶导数幂函数经验黏弹性损伤蠕变模型.通过对粉胶比分别为0.82、1.02、1.22和1.42的沥青胶浆进行在-6℃、-12℃和-18℃温度条件下的弯曲梁流变试验,对新的损伤蠕变模型参数进行了辩识与比较分析.结果表明:新构建的分数阶导数幂函数经验黏弹性损伤蠕变模型能够更加精确地描述沥青胶浆在低温条件下的弯曲蠕变劲度曲线.
[Abstract]:Based on the theory of fractional derivative, the relationship between the empirical creep model of power function and the creep model of fractional derivative Abel viscous pot is established, and the physical meaning of each parameter of power function is clarified. A new empirical Viscoelastic damage creep model with fractional derivative power function is constructed by introducing Weibull distribution function. The parameters of the new damage creep model were identified and compared by means of the Rheological tests of the curved beams with powder ratios of 0.82, 1.02, 1.22 and 1.42 at-6 鈩，
本文编号：2497667
[Abstract]:Based on the theory of fractional derivative, the relationship between the empirical creep model of power function and the creep model of fractional derivative Abel viscous pot is established, and the physical meaning of each parameter of power function is clarified. A new empirical Viscoelastic damage creep model with fractional derivative power function is constructed by introducing Weibull distribution function. The parameters of the new damage creep model were identified and compared by means of the Rheological tests of the curved beams with powder ratios of 0.82, 1.02, 1.22 and 1.42 at-6 鈩，
本文编号：2497667
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