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缺陷漏磁场磁偶极子模型的若干解析解

时朋朋

时朋朋. 缺陷漏磁场磁偶极子模型的若干解析解[J]. 无损检测, 2015, 37(3): 1-7.
引用本文: 时朋朋. 缺陷漏磁场磁偶极子模型的若干解析解[J]. 无损检测, 2015, 37(3): 1-7.
SHI Peng-peng. Analytical Solutions of Magnetic Dipole Model for Defect Leakage Magnetic Fields[J]. Nondestructive Testing, 2015, 37(3): 1-7.
Citation: SHI Peng-peng. Analytical Solutions of Magnetic Dipole Model for Defect Leakage Magnetic Fields[J]. Nondestructive Testing, 2015, 37(3): 1-7.

缺陷漏磁场磁偶极子模型的若干解析解

基金项目: 

国家自然科学基金资助项目(11472201)

中央高校基本科研业务费专项资金资助项目(JB142001-2)

兰州大学西部灾害与环境力学教育部重点实验室开发基金资助项目(Llmwde201406)

详细信息
    作者简介:

    时朋朋(1987-),男,博士,主要从事结构与介质的多场耦合力学研究.

  • 中图分类号: TG115.28

Analytical Solutions of Magnetic Dipole Model for Defect Leakage Magnetic Fields

  • 摘要: 磁偶极子理论是成功解释缺陷漏磁场的模型之一.缺陷复杂形状直接影响其漏磁信号,目前研究却常将缺陷简化成矩型或环型凹槽.首先给出梯型凹槽漏磁信号的解析表达式,鉴于矩型、V型和组合型凹槽可看作梯型凹槽的变形或组合,获得其余凹槽漏磁信号的解析表达式.得到的矩形凹槽表达式和已有文献一致,梯型和组合型凹槽的表达式为首次获得,V型凹槽表达式与文献存在差异.通过同数值积分结果对比证实解析表达式的正确性.
    Abstract: Magnetic dipole theory is one of the successful models for explaining the defect leakage magnetic fields.The complex shapes of defects are directly influencing the magnetic flux leakage signals,however,the defect is often simplified as a rectangular or a circular notch in the researches at present.The analytical expressions of the magnetic flux leakage signals for ladder notch are given in this paper firstly.The rectangle type,V type and combinational type notches can be regarded as the transformation and combination of ladder notch,then,their analytical expressions of the magnetic flux leakage signals are obtained.In this paper,the analytical expressions for rectangular notch agree well with the results of previous literatures,the analytical expressions for ladder type and combinational type notches are obtained for the first time,and the analytical expressions for V type notch are of a certain difference to the existing literature.The correctness of the expressions is verified by the comparisons of the present analytical expressions and the numerical integral results.
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出版历程
  • 收稿日期:  2014-08-28
  • 刊出日期:  2015-03-09

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