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钢绞线丝间变形与感应加热效果数学模型的研究

程亚平 李志刚 张强

程亚平, 李志刚, 张强. 钢绞线丝间变形与感应加热效果数学模型的研究[J]. 应用数学和力学, 2016, 37(9): 915-923. doi: 10.21656/1000-0887.370010
引用本文: 程亚平, 李志刚, 张强. 钢绞线丝间变形与感应加热效果数学模型的研究[J]. 应用数学和力学, 2016, 37(9): 915-923. doi: 10.21656/1000-0887.370010
CHENG Ya-ping, LI Zhi-gang, ZHANG Qiang. Mathematical Models for Deformation Between Steel Strand Wires and Induction Heating Effects[J]. Applied Mathematics and Mechanics, 2016, 37(9): 915-923. doi: 10.21656/1000-0887.370010
Citation: CHENG Ya-ping, LI Zhi-gang, ZHANG Qiang. Mathematical Models for Deformation Between Steel Strand Wires and Induction Heating Effects[J]. Applied Mathematics and Mechanics, 2016, 37(9): 915-923. doi: 10.21656/1000-0887.370010

钢绞线丝间变形与感应加热效果数学模型的研究

doi: 10.21656/1000-0887.370010
基金项目: 国家自然科学基金(51578208)
详细信息
    作者简介:

    程亚平(1983—),女,博士生(通讯作者. E-mail: chengyaping83@126.com).

  • 中图分类号: O241.2

Mathematical Models for Deformation Between Steel Strand Wires and Induction Heating Effects

Funds: The National Natural Science Foundation of China(51578208)
  • 摘要: 根据Hertz(赫兹)接触理论结合钢绞线的结构特性推导了丝间变形的计算方法,采用该方法计算钢绞线感应加热过程中丝间接触面宽度的大小,为建立精确的钢绞线感应加热有限元模型提供了一种新方法.利用有限元分析法计算钢绞线感应加热温度值,得到不同电流密度和频率下的温度数据.通过对温度数据进行回归分析,采用平均相对误差来评价多个回归模型拟合程度的优劣,建立了感应加热效果的最优数学模型.该模型为应用经典控制理论实现钢绞线感应加热温度控制提供了理论依据.
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出版历程
  • 收稿日期:  2016-01-11
  • 修回日期:  2016-05-10
  • 刊出日期:  2016-09-15

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