With proper external vibrations, the dynamic behavior of a high-temperature superconducting levitation system will show interesting bifurcation and complex chaos. In order to eliminate the effects of nonlinear vibrations, a larger magnetic force generated by a high-temperature superconductor (HTSC) with strong flux pinning is necessary. However, it provides minimal inherent damping. In this article, we numerically studied the effect of different copper damper arrangements on the superconductive magnetic levitation system in nonlinear vibration by the finite element method. Furthermore, we compared the results with and without a copper damper by analyzing the displacements, temperature differences, and electromagnetic forces (HTSC and copper). The results indicate that adjusting the copper damping can increase the interference rejection capacity of the superconductive magnetic levitation system.

中文翻译：

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铜阻尼器对超导磁悬浮系统中分叉振动的影响

在适当的外部振动的作用下，高温超导悬浮系统的动力学行为将表现出有趣的分叉和复杂的混乱。为了消除非线性振动的影响，由具有强磁通钉扎的高温超导体（HTSC）产生的较大磁力是必要的。但是，它提供了最小的固有阻尼。在本文中，我们通过有限元方法数值研究了不同铜阻尼器布置对非线性振动中超导磁悬浮系统的影响。此外，我们通过分析位移，温度差和电磁力（HTSC和铜），比较了有铜阻尼器和无铜阻尼器的结果。