Dynamic effects of a hollow cylinder quasi-force-free magnet

This study investigates mechanical stresses induced by a unipolar sinusoidal pulse in a hollow cylindrical conductor, which serves as a key element of the base part of a quasi-force-free configuration pulsed magnet. The aim of the work is to assess transient mechanical effects not accounted for by static models. The applied method determines the system's natural frequencies and solves the dynamic axisymmetric problem of elasticity theory using Laplace transforms. The results include the calculated spectrum
of natural frequencies; it is shown that the stress response exhibits quasistatic behavior for millisecond-duration pulses, whereas dangerous stress magnification requires microsecond pulses which are consistent with the single-degree-of-freedom model predictions. In conclusion, the adequacy of static models
for designing magnets with millisecond-range pulses is confirmed, and the development of a methodology for analyzing complex multilayer magnets is proposed.