疲劳可靠性计算方法中迈纳理论与概率累加理论之间的关系

Relation between Miner theory and probability accumulation theory in calculation methods of fatigue reliability

针对疲劳可靠性领域中广泛应用而相互关系尚不明确的迈纳(Miner)理论和概率累加理论,在文献[1]的基础上,通过更深入的数学推导和实例计算,证明了在疲劳寿命服从对数正态分布的前提下,迈纳理论是概率累加理论的特例。首次揭示了两大经典理论之间的内在联系,进一步发展了疲劳可靠性理论,完善了计算方法。

There are two classical theories in the field of fatigue reliability the Miner theory and the probability accumulation theory, they are widely used and their correlation is still obscure. On the basis of the literature[l], through the mathematical derivation and the example calculation, it was proved that if the fatigue life obeys the lognormal distribution, the Miner theory is a special case of the probability accumulation theory. It is the first demonstration of the relation between these two theories, being of help to development of the fatigue reliability theory and improvement of its calculation method.