Modification of Wirsching’s Model for Fatigue Reliability Analysis

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First,Wirsching's model,which is widely employed in fatigue reliability anlysis of marine andoffshore structures,is analysed systematically.It is found that the very important random variable △ inWirsching's model can not be directly determined from fatigue experiment because of the irreversibility offatigue test,and in fact,what Wirsching studied from testing results is not △ but α of the statistical Miner'srule.Second,by use of the statistical Miner's rule,a modified Wirsching's model is proposed.Thirdly andmore importantly,based on the two-dimensional probabilistic Miner's rule,a new model is established forfatigue reliability analysis of structural components subjected to specified cyclic loading of variableamplitude or stochastic time history.In the end,an example is presented,from which it will be seen thatthis new model is very convenient to use and feasible to engineering practice. First, Wirsching’s model, which is widely employed in fatigue reliability anlysis of marine andoffshore structures, is analyzed systematically. It is found that the very important random variable △ inWirsching’s model can not be directly determined from fatigue experiment because of the irreversibility off fatigue test, and in fact, what Wirsching studied from testing results is not △ but α of the statistical Miner’s rule. Second, by use of the statistical Miner’s rule, a modified Wirsching’s model is proposed. Thirdly and more importantly, based on the two-dimensional probabilistic Miner’s rule, a new model is established for fatigue reliability analysis of structural components subjected to specified cyclic loading of variable amplitude or stochastic time history. In the end, an example is presented, from which it will be seen thatthis new model is very convenient to use and feasible to engineering practice.
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