Homopolar oscillating-disc dynamo driven by parametric resonance - Archive ouverte HAL Access content directly
Journal Articles Physics Letters A Year : 2010

Homopolar oscillating-disc dynamo driven by parametric resonance

(1) , (2) , (3)
1
2
3

Abstract

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 rate 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.

Dates and versions

insu-00548854 , version 1 (20-12-2010)

Identifiers

Cite

Jānis Priede, Raúl Avalos-Zuñiga, Franck Plunian. Homopolar oscillating-disc dynamo driven by parametric resonance. Physics Letters A, 2010, 374 (4), pp.584-587. ⟨10.1016/J.PHYSLETA.2009.11.022⟩. ⟨insu-00548854⟩
65 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More