基于截断区域特征函数展开法的金属管材电涡流检测线圈阻抗解析模型  

Analytical modeling of coil impedance based on truncated region eigenfunction expansion method in eddy current tube inspection

作　　者：范孟豹[1] 尹亚丹[1] 曹丙花[2] 

机构地区：[1]中国矿业大学机电工程学院,徐州221116 [2]中国矿业大学信息与电气工程学院,徐州221116

出　　处：《物理学报》2012年第8期476-481,共6页Acta Physica Sinica

基　　金：国家高技术研究发展计划(批准号:2008AA062202);中国博士后科学基金(批准号:20090460086;201003606);中国矿业大学青年自然科学基金(批准号:2009A018)资助的课题~~

摘　　要：针对金属管材电涡流检测线圈阻抗的理论计算问题,通过施加磁绝缘边界条件,应用分离变量法和Cheng矩阵法建立了内穿式和外穿式线圈阻抗解析模型.因模型含有与虚宗量Bessel函数有关的积分,通过研究函数特性,提出基于高斯积分算法的数值计算方法.以铜管管壁减薄为例进行仿真研究,并与Dodd模型、有限元模型进行了对比.比较表明,三种方法的仿真结果基本一致,验证了所建立模型的正确性.与传统的Dodd模型、有限元模型相比,所建立的模型具有效率高、精度调整方便等优点.In order to calculate theoretically the coil impedance, the separation of variables method and the Cheng matrix method are used to establish the analytical model by applying the magnetic insulation condition in eddy current tube detection with encircling probes inside and outside respectively. In the established model, there exists a definite integral related to modified Bessel function. Gaussian integral algorithm is proposed to accurately perform the numerical calculation. Simulations are carried out on the thinning of a copper tube wall thickness using the presented model, traditional Dodd model and finite element model. Their results are in good agreement with each other, demonstrating that the derived analytical model is correct. Compared with the Dodd and finite element models, the improved model has some advantages such as good efficiency, easy adjustment of accuracy and so on.

关 键 词：金属管材 电涡流检测 线圈阻抗 截断区域特征函数展开法 

分 类 号：TG115.28[金属学及工艺—物理冶金]