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An analytical method to predict the electromagnetic force in an electromagnetic forming system is presented. A spiral flat coil is approximated by coaxial circular rings carrying the discharge current from a high voltage capacitor bank. The penetration of the magnetic field of the coil into a conductive circular disk is analyzed based on the boundary-value problem for the diffusion equation. The thickness of the disk is assumed to be large compared with the skin depth. Magnetic field, eddy currents and electromagnetic force density in the disk are calculated numerically. Coil current and the magnetic field distribution in the gap between the coil and the disk agree well with the experiment, showing the validity of the analysis.
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Takatsu et al. (1987) studied this question.
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