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Uncertainty of parameter statistics for two nonlinearly damped structures under stationary white noise excitations is considered.The effect on estimating system reliability is analysed.By using Fokker-Planck equation,probability density functions of the re- sponse have been calculated.Reliability is estimated bv two failure mechanism:failure in terrns of first-passage and fatigue failure,Probabilities in terms of first-passage bave been deteimined ty using",second Step momory proccss“.And tbe results demonstrats... Uncertainty of parameter statistics for two nonlinearly damped structures under stationary white noise excitations is considered.The effect on estimating system reliability is analysed.By using Fokker-Planck equation,probability density functions of the re- sponse have been calculated.Reliability is estimated bv two failure mechanism:failure in terrns of first-passage and fatigue failure,Probabilities in terms of first-passage bave been deteimined ty using",second Step momory proccss“.And tbe results demonstrats that nonliear damping has the greatest influcnce on the estimated reliabity. The estimation er-ror is up to three quantitive levels. 阐述了在白噪声特征的稳态随机激励下,两种非线性阻尼结构参数统计的不确定性,分析了它们对系统可靠度估算的影响;运用Fokker-Planck方程,推导了响应的概率密度函数;可靠度估算中考虑了两种失效机理:即超越门槛值失效和疲劳失效,并采用“两步记忆过程”确定超越概率。结果表明,非线性阻尼对可靠度估算的影响极大. The dynamic reponse of fuzzy random time dependent structures subjected to an earthquake is studied.The time dependent outcross probability of Gauss process is given and the time dependent dynamic reliability formula is also proposed in this paper. 研究了模糊随机时变结构在地震荷载作用下的动力响应,提出了Gauss模糊随机过程的模糊时变超越概率,以及模糊时变可靠度计算公式 The dynamic response,the first passage probability,and the time dependent extreme value distribution are analysed,the formula of time dependent reliability based on time dependent extreme value distribution is given also in this paper. 本文研究了时变结构的动力响应,及其首次超越概率,时变极值分布等问题。提出了基于时变极值分布的时变动力可靠度计算公式。
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