Ψ(t)R_0──复合非时齐单调Poisson过程模型结构可靠性当量正态设计

Design of Equivalent Normal Random Variable of Structural Reliability for Ψ(t)R_0-Compound Non-homogenous Monotone Poisson Process Model

本文讨论抗力Ψ（t）R0，荷载效应为强度函数λ（t）＝ae－bt，（t≥0，a，b＞0为实数）的复合非时齐单调Poisson过程结构可靠性模型。获得非时齐非增Poisson过程和非时齐非降Poisson过程样本函数最大值概率分布及统计参数估计。同时获得抗力Ψ（t）R0，其中R0～N（μR0，σ2R0）为初始随机变量，Ψ（t）＞0是t的单调递减连续实函数；荷载效应为复合非时齐单调Poisson过程模型结构可靠性当量正态设计表达式。

In this pasper, we discuss design of equivalent normal random variable of structural reliabili-ty for strength (t )R0, the R0 -N (μR0, μ2R0 ), (t) > 0 is monotonically decreasing continuous real func-tion, stress {S (t), t [0, t] obey compound non-homogeneous monotone Poisson process model. Obtainsthe formulas of probability distribution of maximum and statistical parameter estimation, the formulas ofthe structura1 reliability and of design of equivalent normal random variable of structural reliability for(t)R0-compound non-homogeneous monotone Posisson process model, the standard period[O,T]0f the de-sign.