Angular Dependence of Lateral and Levitation Forces in Asymmetric Small Magnet/Superconducting Systems

The dipole-dipole interaction model is used to calculate the angular dependence of lateral and levitation forces on a small permanent magnet and a cylindrical superconductor in the Meissner state lying laterally off the symmetric axis of the cylinder. Under the assumption that the lateral displacement of the magnet is small compared with the physical dimensions of the system, we obtain analytical expressions for the lateral and levitation forces as functions of geometrical parameters of the superconductor as well as the height, the lateral displacement and the orientation of magnetic moment of the magnet. The effect of thickness and radius of the superconductor on the levitation force is similar to that for a symmetric magnet/superconducting cylinder system, but within the range of lateral displacement. The splitting in the levitation force increases with the increasing angle of orientation of the magnetic moment of the magnet. For a given lateral displacement of the magnet, the lateral force vanishes when the magnetic moment is perpendicular to the surface of the superconductor and has a maximum value when the moment is parallel to the surface. For a given orientation of the magnetic moment, the lateral force has a linear relationship with the lateral displacement. The stability of the magnet above the superconducting cylinder is discussed in detail.

Vibrations in Magnet/Superconductor Levitation Systems

处于 Meissner 状态在一个很薄的超导的磁盘上面升在空中的一个小磁铁的问题被分析。偶极子偶极子相互作用模特儿被雇用为超导的磁盘的特别半径与增加的悬浮高度为小颤动减少的相互作用精力，悬浮力量，磁性的僵硬和频率导出分析表达式，它在对试验性的结果的好同意。然而，频率由为磁铁的特别高度增加磁盘的半径 monotonically 增加直到浸透。另外，当系统比系统在水平配置的那 whrn 在垂直配置时，颤动的频率更高。

Effects of Magnet Size and Geometry on Magnetic Levitation Force

我们作为超导体磁铁系统的尺寸的一个函数为悬浮力量获得分析关系。力量根据 thedipole 偶极子相互作用模型被计算了。悬浮力量上的超导体的厚度的效果被调查。结果证明几何学的影响和磁铁的厚度在小悬浮距离变得显著地大。而且，接近点偶极子导致悬浮力量的一个不精密的评价的永久磁铁。