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Fatigue damage assessment for a spectral model of non-Gaussian random loads
Authors:Sofia Aoberg, Krzysztof Podg  rski,Igor Rychlik
Affiliation:aMathematical Sciences, Chalmers University of Technology, SE-412 96, Gothenburg, Sweden;bCentre for Mathematical Sciences, Mathematical Statistics, Lund University, Box 118, SE-221 00 Lund, Sweden
Abstract:In this paper, a new model for random loads–the Laplace driven moving average–is presented. The model is second order, non-Gaussian, and strictly stationary. It shares with its Gaussian counterpart the ability to model any spectrum but has additional flexibility to model the skewness and kurtosis of the marginal distribution. Unlike most other non-Gaussian models proposed in the literature, such as the transformed Gaussian or Volterra series models, the new model is no longer derivable from Gaussian processes. In the paper, a summary of the properties of the new model is given and its upcrossing intensities are evaluated. Then it is used to estimate fatigue damage both from simulations and in terms of an upper bound that is of particular use for narrowband spectra.
Keywords:Fatigue damage   Laplace distribution   Spectral density   Rice’  s formula   Moving average   Non-Gaussian process
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