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Variance of the fatigue damage in non-Gaussian stochastic processes with narrow-band power spectrum
Highlights Two models for the variance of fatigue damage in non-Gaussian stochastic process. Models include the effect of the skewness and kurtosis of non-Gaussian process. Correctness of both models was checked by Monte Carlo numerical simulations. Study of trends of variance of damage versus skewness, kurtosis, S-N inverse slope.
Abstract This paper presents two theoretical models to assess the variance of the fatigue damage in stationary narrow-band and non-Gaussian stochastic processes. The models extend two solutions existing in the literature and restricted to Gaussian processes. The new models here developed exploit a non-linear transformation that links Gaussian and non-Gaussian domains based on skewness and kurtosis coefficients, which are used to quantify the deviation from the Gaussian distribution. Monte Carlo numerical simulations in time-domain are performed to confirm the correctness of the proposed non-Gaussian models, and to investigate the sensitivity of the variance of the damage to the skewness, kurtosis, and inverse slope of the stress versus life (S-N) curve. An example is finally presented to demonstrate the increase of the failure probability due to non-Gaussian effects in the stochastic loading.
Variance of the fatigue damage in non-Gaussian stochastic processes with narrow-band power spectrum
Highlights Two models for the variance of fatigue damage in non-Gaussian stochastic process. Models include the effect of the skewness and kurtosis of non-Gaussian process. Correctness of both models was checked by Monte Carlo numerical simulations. Study of trends of variance of damage versus skewness, kurtosis, S-N inverse slope.
Abstract This paper presents two theoretical models to assess the variance of the fatigue damage in stationary narrow-band and non-Gaussian stochastic processes. The models extend two solutions existing in the literature and restricted to Gaussian processes. The new models here developed exploit a non-linear transformation that links Gaussian and non-Gaussian domains based on skewness and kurtosis coefficients, which are used to quantify the deviation from the Gaussian distribution. Monte Carlo numerical simulations in time-domain are performed to confirm the correctness of the proposed non-Gaussian models, and to investigate the sensitivity of the variance of the damage to the skewness, kurtosis, and inverse slope of the stress versus life (S-N) curve. An example is finally presented to demonstrate the increase of the failure probability due to non-Gaussian effects in the stochastic loading.
Variance of the fatigue damage in non-Gaussian stochastic processes with narrow-band power spectrum
Marques, Julian Marcell Enzveiler (author) / Benasciutti, Denis (author)
Structural Safety ; 93
2021-07-12
Article (Journal)
Electronic Resource
English
Variance of the fatigue damage due to a Gaussian narrowband process
| British Library Online Contents | 2012
Variance of the fatigue damage due to a Gaussian narrowband process
| Elsevier | 2011
Variance of the fatigue damage due to a Gaussian narrowband process
| Online Contents | 2012
| British Library Conference Proceedings | 2010