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Stiffness and hysteretic energy losses are calculated for a magneticallylevitating system composed of a type-II superconductor and a permanent magnetwhen a small vibration is produced in the system. We consider a cylindricallysymmetric configuration with only vertical movements and calculate the currentprofiles under the assumption of the critical state model. The calculations,based on magnetic energy minimization, take into account the demagnetizationfields inside the superconductor and the actual shape of the applied field. Thedependence of stiffness and hysteretic energy losses upon the differentimportant parameters of the system such as the superconductor aspect ratio, therelative size of the superconductor-permanent magnet, and the critical currentof the superconductor are all systematically studied. Finally, in view of theresults, we provide some trends on how a system such as the one studied herecould be designed in order to optimize both the stiffness and the hystereticlosses.Comment: 8 pages; 8 figure

Stiffness and energy losses in cylindrically symmetric superconductor levitating systems