一定条件下结构可靠度的有界性质与随机许用应力

The Bounded Properties of the Structural Reliability and Random Allowable Stress under Some Conditiones

在结构材料抗力和工作应力均为高斯分布的情况下,证明了结构可靠度存在上确界,且得到它的表达式。在引入结构的真实可靠度和随机许用应力概念后,导出了以材料抗力和工作应力的均值、方差与随机许用应力表示的结构真实可靠度表达式,当结构真实可靠度预先给出时,还导出了随机许用应力表达式。

Under the conditions that both the material resistance and structuralresponse are Gaussian processes,we prove the existence of the structuralreliable supremum and give an expression for this supremum.After intro-ducing the concepts of the realistic reliability and the allowable stress,wedevelope a formula for calculating the realistic reliability through the randomallowable stress and the mean value and variance of the material resistanceand the working resistance.Also a formula for the random allowable stressis given when the realistic reliability is known.