適応フィルタを用いた周波数分析法による係数励振現象の解析 : 振幅および位相スペクトルの時間変化に関する実験解析

概要

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The transient state of parametric resonance can be analyzed using the amplitude equations, which are obtained by the method of multiple scales and the averaging method. Using the analysis, the growth of the amplitude and the time variation of the phase angle have been theoretically clarified. On the other hand, to our knowledge, no experiment has been conducted in order to examine the above state of the parametric resonance. The reason seems to be that FFT, which is widely used in the spectral analysis, is not an appropriate method for transient phenomenon analysis. In this research, we propose a method for analyzing the transient state of the parametric resonance of Duffing type, by applying adaptive spectral analysis. The growth of the amplitude and the time variation of the phase angle are experimentally clarified. By comparing with the theoretical results obtained from the amplitude equations, we show that the adaptive spectral analysis is effective for experimental analysis of the transient state of the parametric resonance of Duffing type.
一般社団法人日本機械学会の論文
1997-01-25