参数共振驱动的单极圆盘发电机
Homopolar oscillating-disc dynamo driven by parametric resonance
摘要：
我们使用一个简单的模型，Bullard型磁盘发电机，其中磁盘的转速受到谐波振荡，分析产生的磁场的参数共振机制。这个问题是由阻尼Mathieu方程。定义磁场增长率的Floquet指数根据振荡的振幅和频率计算。首先，我们表明，发电机可以激发在显着亚临界光盘转速时，后者受到一定频率的谐波振荡。其次，在超临界平均转速，发电机也可以被抑制，但只有在窄频带和足够大的振荡幅度。
英文摘要：
We use a simple model of Bullard-type disc dynamo, in which the disc rotation rate is subject to harmonic oscillations, to analyze the generation of magnetic field by the parametric resonance mechanism. The problem is governed by a damped Mathieu equation. The Floquet exponents, which define the magnetic field growth rates, are calculated depending on the amplitude and frequency of the oscillations. Firstly, we show that the dynamo can be excited at significantly subcritical disc rotation rates when the latter is subject to harmonic oscillations with a certain frequency. Secondly, at supercritical mean rotation rates, the dynamo can also be suppressed but only in narrow frequency bands and at sufficiently large oscillation amplitudes.
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