Real-time analysis of passage through resonance by adaptive spectral analysis (experimental analysis of time-varying amplitudes and phase spectra)

摘要

Passage through resonance of a Duffing-type oscillator can be analyzed using the amplitude equations which are obtained by the method of multiple scales and averaging method. Using the analyses, the growth, which includes jumps of the amplitude and phase angle, has been theoretically clarified. On the other hand, to our knowledge, no experiment has been conducted to examine the above character of passage through resonance of a Duffing-type oscillator which has multiple frequencies.