Research on Stress-Strength Model under Random Repeated Cycles

The system leads to fail when the impact of repeated stresses. In some situations there is uncertainty about the stress and the strength random variables at any instant of time and also about the behaviour of the random variables with respect to time and/or cycles. The repeated cycles may occur in known or unknown timings. The terms random fixed and random independent are used to describe these uncertainties. The survival function as the probability of survival of a system beyond any given time has been derived for the impact of repeated stresses and when the number of cycles occur in poisson distribution and geometric distribution when stress and strength follow random independent and also random fixed which follow weibull distribution with different parameters.