黏弹性材料动态力学性能的分数阶时温等效模型与验证
发布时间：2018-12-15 11:07
【摘要】：为构造一种更加精准的黏弹性时温等效模型,基于黏弹性阻尼材料的分数阶本构关系和Vogel-Fulcher-Tammann黏度方程,结合WLF(Williams-Landel-Ferry)方程,提出了黏弹性阻尼材料动态力学性能的分数阶时温等效模型(fractional time-temperature superposition model,FTTSM),导出频率转化因子,并给出参数识别方法。在DMA(dynamic thermomechanical analysis)试验数据的基础上,对比研究了FTTSM和WLF两种模型,并应用分数阶Kelvin-Voigt模型对二者在参考温度5℃的主曲线进行了验证。结果表明,FTTSM和WLF所表征的频率转化因子在温度范围( 80~80℃)内最大相对误差为0.984 4%,FTTSM主曲线和WLF主曲线相对于Kelvin-Voigt模型理论预测值的均方根误差(RMSE)分别为1.291和1.834 MPa,验证了FTTSM的精确性。另外FTTSM主曲线扩展的最低频域低于WLF主曲线2个数量级,证明FTTSM对黏弹性动态力学特性具有更广泛的预测能力。为黏弹性材料动态性能预测、物理老化、蠕变损伤演化机理等研究提供理论参考。
[Abstract]:In order to construct a more accurate time-temperature equivalent model of viscoelasticity, based on fractional constitutive relation and Vogel-Fulcher-Tammann viscosity equation of viscoelastic damping materials, WLF (Williams-Landel-Ferry) equation is combined. A fractional time-temperature equivalent model (fractional time-temperature superposition model,FTTSM) for the dynamic mechanical properties of viscoelastic damping materials is proposed. The frequency conversion factor is derived and the parameter identification method is given. On the basis of DMA (dynamic thermomechanical analysis) test data, two kinds of models, FTTSM and WLF, are compared and studied, and the main curves of the two models at reference temperature of 5 鈩，
本文编号：2380534
[Abstract]:In order to construct a more accurate time-temperature equivalent model of viscoelasticity, based on fractional constitutive relation and Vogel-Fulcher-Tammann viscosity equation of viscoelastic damping materials, WLF (Williams-Landel-Ferry) equation is combined. A fractional time-temperature equivalent model (fractional time-temperature superposition model,FTTSM) for the dynamic mechanical properties of viscoelastic damping materials is proposed. The frequency conversion factor is derived and the parameter identification method is given. On the basis of DMA (dynamic thermomechanical analysis) test data, two kinds of models, FTTSM and WLF, are compared and studied, and the main curves of the two models at reference temperature of 5 鈩，
本文编号：2380534
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