论文标题
螺旋振荡器的共振相位滞后
Resonant phase lags of a Duffing oscillator
论文作者
论文摘要
本文重新审视了谐音振荡振荡器的共振行为，并特别注意相互共振及其与振幅共振的关系。为此，使用第一和高阶平均仔细研究了不同的共振家族，即主要的原发性（1：1），超谐波（K：1），亚谐波（1：ν）和Ultra-Subharmonic（K：ν）共振。当计算位移的k-th谐波和谐波强迫之间计算相位滞后时，本研究证明当相位滞后等于π/2（相位正交）或3π/4ν时，相共振发生。
This paper revisits the resonant behavior of a harmonically-forced Duffing oscillator with a specific attention to phase resonance and to its relation with amplitude resonance. To this end, the different families of resonances, namely primary (1:1), superharmonic (k:1), subharmonic (1:ν) and ultra-subharmonic (k:ν) resonances are carefully studied using first and higher-order averaging. When the phase lag is calculated between the k-th harmonic of the displacement and the harmonic forcing, this study evidences that phase resonance occurs when the phase lag is equal to either π/2 (phase quadrature) or 3π/4ν.
