Effects of an in-plane axisymmetric magnetic field on the vibration of a thin conductive spinning disk
Michalek, Arthur J.
Hasanyan, Davresh J.
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This paper details the derivation and solution of the governing equation for linear transverse vibrations of a thin perfectly conducting rotating disk subjected to an axisymmetric in-plane magnetic field having a circumferential flux pattern. Previous works on plates and shells have hypothesized that the application of a magnetic field is capable of increasing the natural frequency of a thin conductive plate. Analytical results show a significant increase in maximum stable operating speed of a thin disk in the presence of a magnetic field. The effect is dependent on both thickness and magnetic field strength. (c) 2005 American Institute of Physics.