Abstract
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. The reason seems to be that because the passage through resonance is a nonstationary resonance, FFT, which is Widely used in spectral analysis for stationary vibrations is not an appropriate method. Recently, the method of experimental spectral analysis for the transient state of a parametric resonance of a Duffing-type oscillator using an adaptive filter is proposed. In this paper, we apply this method for passage through resonance of Duffing type oscillator which has multiple frequencies. The time-varying amplitudes and phase angle which include jumps are experimentally clarified in real-time. By comparison with the theoretical results obtained from the amplitude equations, we show that the adaptive spectral analysis is effective for experimental analysis of the passage through resonance.
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