Stochastic Process Model For Engineering Structural Time-Dependent Reliability Analysis

This paper constructs out two all stochastic process models of the stress-strength(S-S) structural reliability to research the question of the time-dependent engineering struc-tural reliability. In this paper, we mainly consider it as follow:i)Researching the problem of time-dependent structural reliability with strength ag-ing deterioration process.An all stochastic process model of the time-dependent structural reliability is Pro-posed. Here, in structural engineering, the deterioration of structure’s strength should be the total of the internal deterioration owing to direct wear and the external deterioration due to randomly variable loads. Meanwhile, the load process is given as poisson square wave process. The reliability is derived by stress-strength(S-S) structural reliability theo-ry.ii)Researching the problem of time-dependent structural systems reliability with strength aging deterioration process.We give out an all stochastic process model of the time-dependent structural systems reliability. Then, we obtain respectively the reliability expression of series system and parallel system. At last, we give out the example analysis.iii)Researching the problem of structural reliability with compound stochastic load process.We consider that the load process of engineering structure is a compound stochastic load process which is compounded of a variety of loads. Meanwhile, the number of the load process is given as Homogeneous Poisson Process. Here, in order for the stochas-tic deterioration process to be monotonic and gradual deterioration, the deterioration of structural strength should be modelled as a gamma process. Based on these characteristic-s of strength and load, we present a time-dependent structural reliability model. Finally, the reliability expression of this model is derived by stress-strength(S-S) structural relia-bility theory. Here, the Generalized Extreme Value distribution (GEV) is used to replace approximately the extreme value distribution of the maximum load effect which results from a mixture of loading events.