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Levitational end effects in a cylindrical magnetic suspension

 

作者: J. F. Bird,  

 

期刊: Journal of Applied Physics  (AIP Available online 1981)
卷期: Volume 52, issue 10  

页码: 6032-6040

 

ISSN:0021-8979

 

年代: 1981

 

DOI:10.1063/1.328539

 

出版商: AIP

 

数据来源: AIP

 

摘要:

An analytical calculation is presented for the effects of finite length on the magnetic levitation of a cylindrical metal shell encircling an alternating‐current filament, which system was treated previously by ignoring end effects. The levitational end corrections are calculated by analyzing the differences in magnetic‐field distribution between the finite‐length and endless geometries. This approach yields a new eigenvalue equation, and expansion of the magnetic‐field corrections in corresponding eigenfunctions leads, after some reduction, to a compact set of equations determining the expansion coefficients. From this formulation, the levitation force is expressed solely in terms of field coefficients for the region bounded by the shell inner surface and end planes. An approximation for these coefficients is then developed from the basic equations, yielding an anlytical formula for the levitational end corrections. The approximation formula is shown to give satisfactory results for representative cases. The exact solution for the magnetic field in the equilibrium configuration is appended.

 

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