745 高温超電導磁気軸受で支持された回転体の共振点通過現象(時間遅れ系・回転体)(OS.13 : 非線形現象の解明と応用)

概要

論文の詳細を見る
In energy storage flywheel systems using high-temperature superconducting (HTSC) bearings, small damping achieved by noncontact support causes gradual spindown of the rotor. The spindown rate increases during passing through resonance. This research deals with spinning down and passing through resonance of a levitated magnet in free rotation above a HTSC bulk. We analyze whirling and spinning motions coupled nonlinearly in a 3 degree-of-freedom autonomous system with small damping. By applying the method of averaging, the number of dimension of the phase space can reduce from 6 to 3 : the amplitude and the phase of whirl and the rotational speed. Here we regard the present dissipative system as a perturbation of a conservative system. The solutions of the unperturbed system can be given as trajectories in the 2-D reduced phase space in term of a constant of motion. For higher energy level there exists a saddle closely above the critical speed. The rotational speed at the saddle-center bifurcation can be expressed analytically. Passing through resonance of a dissipative system can be understood from the solution of the unperturbed system. Experimental results, agreeing with the theoretical predictions, were obtained.
一般社団法人日本機械学会の論文
2001-08-03