A model to assess the variance of fatigue damage in high-kurtosis asymmetrical random loadings with narrow-band power spectrum

This paper presents a theoretical model to assess the variance of fatigue damage for non-Gaussian narrow-band processes. The method extends the theory of previous approaches restricted to Gaussian narrow-band processes. The proposed method adopts a transformed Gaussian model to compute the transformed Gaussian joint probability distribution of two peaks. The accuracy of the proposed method is verified through Monte Carlo simulations in time-domain approach. The variance of damage from high-kurtosis asymmetric random loadings (non-Gaussian) is evaluated by a simple case study (ideai unimodal spectrum). The results show a good agreement between the proposed method and Monte Carlo simulations. Moreover, the paper investigates the relationship between the normalised non-Gaussian variance and kurtosis.