Analytical and Experimental Investigation of Magnetic Support Systems. Part I: Analysis

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Abstract
The present and its companion papers [6] offer analytical and experimental studies on the fundamental relationships governing the forces in an axially active, transversely passive electro-magnetic support system. By the use of some simplifying assumptions regarding the boundary conditions, solutions were obtained by means of a Schwarz-Christoffel transformation, which provides the field forces as a function of the relevant geometric and magnetic parameters. The existence of optimum geometric configurations for stiffness and tangential force per given surface area has been established and the analysis provides criteria for determining these configurations. The form of the solution is such that their application to actual magnetic bearing geometry can be performed with reasonable facility.

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