Angle-Dependence of the Levitation Force From a Frustum-Shaped Magnet and Recessed Superconducting Bulk

The widespread application of superconducting magnetic levitation bearings is limited by their relatively low stiffness. Recently we investigated a novel thrust bearing geometry comprised conical frustum (or truncated cone) shaped permanent magnet levitating inside matching tapered hole machined into high-temperature superconductor bulk. This configuration was found to produce superior restoring forces and stiffness compared the conventional cylindrical arrangement. Here, using H-formulation finite-element simulations, evaluate angle-dependence on force. We find that optimal angle not universal, but depends mode displacement as well dimensions. Correlations with incident flux are identified for estimating best suited operating regime bearing.