狭帯域不規則励振を受けるDuffing系の確率論的ジャンプ現象の各種統計量(機械力学,計測,自動制御)

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Statistics of stochastic jump phenomena in the random responses of a Duffing oscillator subjected to narrow band random excitation are investigated. The deterministic jump phenomena of the Duffing oscillator which is subjected to harmonic excitation correspond to the existence of two stationary responses in some frequency range. These responses differ in the phase angle between the excitation and the response, as well as the amplitude. In the case of the stochastic excitation, there are two states of the response, and the jump between two states occurs suddenly and multiple times in the long sample function. These two states correspond to two stationary responses to the harmonic excitation. In the time histories, two states of the response are quite different when the stochastic excitation is narrow band, but the difference becomes obscurer when the band width of the excitation becomes broader. In our previous research, the product of each wavelet transforms of the excitation and the response is proposed as the frequency decomposed phase angle. It was shown that the product successfully identified the states of the responses in the stochastic jump phenomena. In this paper, the rate of the stochastic jump, the ratio and the duration of each state are chosen as the representative statistics of the stochastic jump, and the relation between these statistics and parameters of the narrow band random excitation is studied.
一般社団法人日本機械学会の論文
2009-06-25

狭帯域不規則励振を受けるDuffing系の確率論的ジャンプ現象の各種統計量(機械力学,計測,自動制御)

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