基于分数阶模型的纱线蠕变性能模拟与预测  

Simulation and prediction of yarn creep performance based on fractional model

作　　者：李杨 彭来湖[1,2] 郑秋扬 胡旭东[1] LI Yang;PENG Laihu;ZHENG Qiuyang;HU Xudong(Key Laboratory of Modern Textile Machinery&Technology of Zhejiang Province,Zhejiang Sci-Tech University,Hangzhou,Zhejiang 310018,China;Longgang Institute of Zhejiang Sci-Tech University,Wenzhou,Zhejiang 325802,China)

机构地区：[1]浙江理工大学浙江省现代纺织装备技术重点实验室,浙江杭州310018 [2]浙江理工大学龙港研究院,浙江温州325802

出　　处：《纺织学报》2022年第11期46-51,共6页Journal of Textile Research

基　　金：浙江省博士后科研项目特别资助项目(ZJ2020004)。

摘　　要：针对现有纱线拉伸力学模型描述不准确问题,以分数阶微积分模型对纱线拉伸行为进行分析。首先,引入分数阶微积分理论改进的黏壶模型建立了分数阶纱线蠕变模型,使用XL-2型纱线强伸度仪对不同线密度及不同张力纱线进行蠕变实验,获得纱线蠕变的全过程曲线。通过对不同线密度下的试验曲线进行回归分析得到了模型参数以及蠕变模型参数与施加张力大小的变化关系。最后,利用不同模型对不同张力的纱线蠕变曲线进行拟合和预测。结果表明:分数阶纱线蠕变模型,相比于三元件模型、整数阶模型和Burgers模型,具有结构简单、参数少的特点,并且对纱线蠕变的拟合和预测也具备较高的精度。Aiming of the inaccuracy in existing yarn stretch mechanics models,the yarn extension behavior is analyzed by the fractional calculus model.The fractional order calculus theory with improved glue-pot model is introduced for the establishment of the fractional order yarn creep model.XL-2 tensile tester was used to measure the yarn elongation for creep with yarns under the same tension and of different linear density and with yarns under different tensions but of the same linear density,obtaining the creep curve for the whole process.The yarn creep test curves for yarns with different linear densities were selected for regression,and the model parameters were obtained.The relationship between creep model parameters and applied tension was also obtained.Finally,different models were used to fit and predict the yarn creep curve under different tension.The results show that the fractional order yarn creep model proposed in this paper is not only simple in structure and involving less parameters than the three-component model,integer order model and Burgers model,but also has high precision in the fit and prediction of yarn creep.

关 键 词：纱线蠕变模型 线密度 分数阶微积分 纱线蠕变性能预测 

分 类 号：TS184.1[轻工技术与工程—纺织材料与纺织品设计]