Distribution Reconstruction of 3D Magnetic Charge of Double Layer Structure
摘 要
文章就一种简化的典型三维磁化数值计算模型——双层平面分布磁化的反演重构进行了数值研究。重构中采用了最速下降优化算法并选择磁荷作为磁化的表征量,解决了磁化分布反演中的不适定问题。具体内容包括:① 推导了双层平面磁荷分布重构问题的控制方程。② 提出了一种有效的初值选取方法,对双层平面磁荷分布的重构问题进行了正则化,形成了双层磁荷分布重构算法。③ 对多组模拟检测信号,对相应磁荷分布进行了重构计算。数值计算结果验证了所提算法对双层平面磁荷分布重构的有效性。
Abstract
In order to further explore the reconstruction algorithm of threedimensional natural magnetization, the profile reconstruction of a simplified threedimensional distribution, double layer structure, was studied in this paper. Magnetization reconstruction scheme was developed based on the concept of magnetic charge and the optimization algorithm of steepest descent method to cope with the illposeness of this typical inverse problem. In practice, a system of linear equations linking the magnetic charges of double layer structure with the corresponding leakage magnetic field was deduced at first. An initial value assignment method was developed to regularize the illposed inverse problem for magnetic charge reconstruction. Several magnetic charges distributions of double layer structure were reconstructed with the proposed method. The numerical results showed that the method was effective for the reconstruction of magnetic charge in double layer structure.
中图分类号 TG115.28
所属栏目 2011年远东无损检测论坛论文精选
基金项目 国家自然科学基金资助项目(50977070);国家“973计划”资助项目(2007CB707702,2006CB601206,2009GB104002)
收稿日期 2011/4/20
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备注李红梅(1975-),女,博士生,副教授,研究方向为电磁无损检测相关理论及技术研究。
引用该论文: LI HongMei,LI YunFei,CHEN ZhenMao,LI Yong. Distribution Reconstruction of 3D Magnetic Charge of Double Layer Structure[J]. Nondestructive Testing, 2011, 33(9): 33~36
李红梅,李云飞,陈振茂,李勇. 电磁无损检测中的自然磁化分布反演方法——双层平面分布磁荷重构[J]. 无损检测, 2011, 33(9): 33~36
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【6】Takaya S, Preda G, Demachi K, et al. Reconstruction of magnetization from magnetic flux leakage for evaluation of material degradation[J]. Electromagnetic Nondestructive Evaluation(V),2001:291-298.
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