Line element for efficient computation of the magnetic field created by thin iron plates
Line element for efficient computation of the magnetic field created by thin iron plates
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DOI：
10.1109/20.104667
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发表时间：
1990-04
期刊：
影响因子：
--
通讯作者：
X. Brunotte;Gérard Meunier
中科院分区：
文献类型：
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作者：
X. Brunotte;Gérard Meunier
研究了铁船在地球磁场中产生的磁异常计算问题。从建模的角度来看，该问题的主要特征之一是外部均匀磁源（地球磁场）。考虑到这一点的一个好方法是模拟无穷大，并使用简化的标量势作为状态函数。船舶建模的主要困难是由于船舶的整体尺寸与铁板的厚度之间的不比例而存在复杂的三维几何形状。对铁板薄板的建模进行了研究，提出了二维线元法和三维面元法的有效方法。作者提出了所使用的有限元公式，适用于标量势（减少或总）。使用线元的配方已成功应用，甚至在磁导率较小的磁区。给出了二维结果，并与解析解和实际测量结果进行了比较。>
The problem of computing the magnetic anomaly created by iron ships in the Earth's field is considered. From a modeling point of view, one of the major characteristics of this problem is the external and uniform magnetic source (the Earth's field). A good way of taking this into account is to simulate infinity and to use the reduced scalar potential as the state function. The major difficulty in modeling ships is the presence of sophisticated 3-D geometries due to the disproportion between the global size of a ship and the thickness of the iron plates. The modeling of the thin iron plates is examined, and it is shown that an efficient method is to use line elements in 2-D and surface elements in 3-D. The authors present the finite-element formulations used, applied to scalar potentials (reduced or total). The formulations using line elements have been successfully applied, even to a magnetic region with small permeability values. Results in 2-D and comparisons with analytical solutions and actual measurements are presented. >