This technical note investigates some formulae used for estimating the variance of fatigue damage in Gaussian narrowband random loadings. A simple approximation is proposed and compared with the exact closed-form solution based on the Gaussian hypergeometric function. The approximation estimates the coefficient of variation with an error that is about 2% for an S-N inverse slope of m = 4 and below 10% for m = 6.
Variance of fatigue damage in narrowband Gaussian random loadings: Exact solution and approximations
Benasciutti D.Primo
;Marques Enzveiler
Ultimo
2021
Abstract
This technical note investigates some formulae used for estimating the variance of fatigue damage in Gaussian narrowband random loadings. A simple approximation is proposed and compared with the exact closed-form solution based on the Gaussian hypergeometric function. The approximation estimates the coefficient of variation with an error that is about 2% for an S-N inverse slope of m = 4 and below 10% for m = 6.File in questo prodotto:
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