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  

Distribution Reconstruction of 3D Magnetic Charge of Double Layer Structure

作　　者：李红梅[1,2] 李云飞[1] 陈振茂[1] 李勇[1] 

机构地区：[1]西安交通大学强度与振动国家重点实验室,西安710049 [2]宁夏职业技术学院机电工程系,银川750021

出　　处：《无损检测》2011年第9期33-36,39,共5页Nondestructive Testing

基　　金：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)

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。In order to further explore the reconstruction algorithm of three-dimensional natural magnetization, the profile reconstruction of a simplified three-dimensional 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 ill poseness 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 ill posed 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.

关 键 词：磁荷分布重构 双层分布 损伤评价 

分 类 号：TG115.28[金属学及工艺—物理冶金]