圆筒形薄钢壳物体纵向磁化状态的简化建模方法

积分方程法计算过程中,所得到的系数矩阵是稠密矩阵,随着剖分单元的增多,计算资源的需求将快速增长,可能会在一些实际工程问题的计算中造成一些障碍.根据薄钢板的磁化特点,将圆筒形薄钢壳物体的纵向磁化等效为圆环形体磁化强度分布和圆环形线磁荷分布2种形式,可将原有的二维轴对称问题简化为一维形式,用于快速地建立圆筒形薄钢壳物体纵向磁化状态的数学模型.圆环形体磁化强度分布和圆环形线磁荷分布与三维积分方程法相比,可以得到几乎相同的磁化强度和外部磁场分布,只存在很小的误差.计算结果表明,所得到的新方法只需要少量剖分单元就可以满足计算精度要求,且大大减少了计算资源,加快了计算速度,非常适用于工程计算.

Simplifying modeling of longitudinal magnetization of cylindrical steel shells

The coefficient matrix typically used to model magnetization when using the integral equation method is dense.Computational requirements increase rapidly with increasing numbers of elements,making it difficult to generate accurate engineering calculations.Based on an analysis of the magnetic features of thin steel sheets,the longitudinal magnetization of a cylindrical steel shell can be equivalent to the ringed magnetization intensity distribution and the ringed linear magnetic charge distribution.Thus,a 2-D axially symmetrical problem can be simplified as a 1-D problem for fast modeling of the longitudinal magnetic state of a hollow cylindrical shell.The ringed body magnetization distribution and the ringed linear magnetic charge distribution gain almost the same magnetization and external magnetic field as with the 3-D integral equation method,and the error is very small.The results indicate that this simplified method meets the requirements of precision with fewer elements than the original method.Calculation resources decrease greatly,while calculation speed increases.Hence the proposed method is very suitable for engineering calculations.