矩谱法求磁性体质心的若干问题

SOME PROBLEMS ON CALCULATING THE CENTROID OF MAGNETIC BODIES

B K Bhattachryya(1975)推导的求磁性体质心的矩谱公式理论严谨,计算速度快,并且有不需要预先知道磁性体磁化率的特点。在该公式的基础上,本文对求质心的各种影响因素作了细致讨论,推导出了提高求解质心精度的改正公式。

The algorithm developed by Bhattacharyya is strict in theory and rapid in the. calculation of centroid of magnetic bodies.Furthermore, it is of the characteristics that knowing the magnetization of the magnetic bodies in advance is not needed.It is useful to calculate the below magnetic interface. But when this method is used in practice, it has some problems. Therefore, based on the achivements of the predecessors, the author studies carefully and further the following problems, the length of profiles,the distance between the center of the profile and the center of the magnetic bodies, the error disturbance, the approximate calculation of 3-D bodies by 2-D Moment Spectum Methods, and the error correction. In this way, he comes to the following conclusions. 1 ) Calculating the lengthening profiles of the magnetic bodies should be satisfying to L>32a ( Lx>24a; Ly>24b ) . 2) The distance X0 between the center of the magnetic body and the center of the profile should consist in X0<L/4 ( X<Lx/4; Y0<Ly/4 ) . 3 ) The Moment Spectrum Method may come over error disturbance, and in the anomalies not processed in advance calculating the centroid of magnetic bodies directly can gain the better results by using this method. 4 ) The calculation of 3-D magnetic bodies by using 2-D Moment Spectrum Method is not only accurate but reliable. 5 ) The author put forward the correct formula of increasing the precision of the calculation of the centroid and the correcting method. In this way,this Method can be perfected in practice.