狭帯域励振を受けるDuffing系のジャンプ現象を伴う不規則応答分布の推定(G10-2 不規則振動・衝突振動,G10 機械力学・計測制御部門)

概要

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An approximate analytical method is developed for estimating the response distribution of a Duffing oscillator subjected to narrow band random excitation when the jump phenomenon occurs. Using the condition of multiple amplitudes of the stationary response under harmonic excitation, the bifurcation condition which divides the response into large and small amplitude state is evaluated and the probability of each state is derived. The local probability density function of each state is obtained by employing the equivalent linearization method, and the probability density function of the overall response is derived by sum of these local probability density functions weighted with the probability of each state. In the illustrative example, the calculated probability density functions are compared with the Monte Carlo simulation results.
社団法人日本機械学会の論文
2004-09-04