平均値を含む不規則外乱を受ける非線形構造物の初通過破壊問題

概要

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This paper presents a new method to gain the structural reliability of a nonlinear single degree of freedom system with the material uncertainty and deteriorating characteristics due to a nonzero mean random excitation, by utilizing the Fokker-Planck equation approach (F-P method). Since the obtained moment equations of nonlinear systems by F-P method are not closed form, some approximations should be taken to get the closed form. In the presented paper, the response moments can be obtained to analyze the closed moment equations which are derived from the approximation of higher-order moments by lower-order moments with the aid of a truncation technique of higher-order cumulants. This paper shows the analysis of a Duffing oscillator subjected to a stationary Gaussian white noise as a typical example, and demonstrates that the resulting statistical values of the response agree well with the Monte Carlo simulation.
一般社団法人日本機械学会の論文
1989-03-25