论文标题
在空间中任意定向的两个电流携带圆形细丝之间的相应力计算的磁刚度计算
Magnetic stiffness calculation for the corresponding force between two current-carrying circular filaments arbitrarily oriented in the space
论文作者
论文摘要
在本文中，通过使用BABIC的方法和相互感应的方法（Kalantarov-Zeitlin的方法）得出了在空间中任意取向的两个电流携带圆丝之间的相应力磁刚度的九个组分的分析公式。公式是通过积分表达式呈现的，其内核函数是根据第一和第二种椭圆形积分表示的。同样，我们通过分化了格罗弗的两个圆形丝之间相对于适当的坐标，通过分化格罗弗的相互电感公式来计算磁刚度的组分。派生的公式集得到了互证，并计算磁性成分的结果彼此一致。
In this article, sets of analytical formulas for calculation of nine components of magnetic stiffness of corresponding force arising between two current-carrying circular filaments arbitrarily oriented in the space are derived by using Babic's method and the method of mutual inductance (Kalantarov-Zeitlin's method). Formulas are presented through integral expressions, whose kernel function is expressed in terms of the elliptic integrals of the first and second kinds. Also, we obtained an additional set of expressions for calculation of components of magnetic stiffness by means of differentiation of Grover's formula of the mutual inductance between two circular filaments with respect to appropriate coordinates. The derived sets of formulas were mutually validated and results of calculation of components of magnetic stiffness agree well to each other.
