PSI - Issue 25

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2019) 000–000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2019) 000–000

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

ScienceDirect

Procedia Structural Integrity 25 (2020) 101–111

1st Virtual Conference on Structural Integrity - VCSI1 More on variance of fatigue damage in non-Gaussian random 1st Virtual Conference on Structural Integrity - VCSI1 More on variance of fatigue damage in non-Gaussian random

loadings – effect of skewness and kurtosis Julian Marcell Enzveiler Marques*, Denis Benasciutti Department of Engineering, University of Ferrara, via Saragat 1, 44122, Ferrara, Italy loadings – effect of skewness and kurtosis Julian Marcell Enzveiler Marques*, Denis Benasciutti Department of Engineering, University of Ferrara, via Saragat 1, 44122, Ferrara, Italy

© 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) Peer-review under responsibility of the VCSI1 organizers © 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) Peer-review under responsibility of the VCSI1 organizers Abstract This work investigates the va ianc of fatigue damage in stationary random loadings with non-G ussian probability distribution and narrow-ba d power spectral density. It presents an approach exploiting a non-linear tim -invaria t transformation that links G u sian nd non-Gaussian domains and that is calibrated on the skewness and kurtosis values of the non-Gaussian process. The tr n formati n allows determining the joint probability distrib tion of two peaks a d th ycle amplitude distr bution n the non Gaussian proc ss, f om which variance of dam ge is calculated. Monte Carlo numerical simulations are finally discuss d to demonstrate the correctness of the proposed m del nd to investigate the sensitivity of the damage variance to several parameters (S-N inverse slope, skewness and kurtosis of non-Gaussian loading). © 2020 The Authors. Published by Elsevier B.V. This is an ope acces article under C BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) Abstract This work investigates the variance of fatigue damage in stationary random loadings with non-Gaussian probability distribution and narrow-band power spectral density. It presents an approach exploiting a non-linear time-invariant transformation that links Gaussian and non-Gaussian domains and that is calibrated on the skewness and kurtosis values of the non-Gaussian process. The transformation allows determining the joint probability distribution of two peaks and the cycle amplitude distribution in the non Gaussian process, from which the variance of damage is calculated. Monte Carlo numerical simulations are finally discussed to demonstrate the correctness of the proposed model and to investigate the sensitivity of the damage variance to several parameters (S-N inverse slope, skewness and kurtosis of non-Gaussian loading).

Peer-review under responsibility of the VCSI1 organizers

Keywords: Variance of fatigue damage; non-Gaussian; kurtosis; skewness; random loadings Keywords: Variance of fatigue damage; non-Gaussian; kurtosis; skewness; random loadings

1. Introduction There are many engineering applications in which mechanical components are subjected to loadings inherently random, that is loadings with a random nature. Examples are the loads from road irregularity, wind or sea waves. Assessing the component structural durability usually requires that loading sample records be processed by counting 1. Introduction There are many e ineering applications in which mechanical components are subjected to loadings inherently random, that is loadi gs with a r n om nature. Examples are the l s from road irregularity, wind or sea waves. Assessing the component structural durability usually requires that loading sample records be processed by counting

* Corresponding author. Tel.: +39-0532-974104; fax.: +39-0532-974870 E-mail address: nzvjnm@unife.it * Corresponding author. Tel.: +39-0532-974104; fax.: +39-0532-974870 E-mail address: nzvjnm@unife.it

2452-3216 © 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) Peer-review under responsibility of the VCSI1 organizers 2452-3216 © 2020 The Authors. Published by Elsevier B.V. This is an ope acces article under C BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Peer-review under responsibility of the VCSI1 organizers

2452-3216 © 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) Peer-review under responsibility of the VCSI1 organizers 10.1016/j.prostr.2020.04.014