PSI - Issue 31

Available online at www.sciencedirect.com Structural Integrity Procedia 00 (2021) 000–000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2021) 000–000 Available online at www.sciencedirect.com ScienceDirect

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Procedia Structural Integrity 31 (2021) 98–104

© 2021 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of ICSID 2020 Organizers. Abstract A closed-form explicit solution for statistical fatigue life assessment under broad-band stochastic loading is proposed herein. Obtained solution is valid for stationary, random and ergodic zero mean Gaussian stress process. It is based on Rice/Lalanne peak stress probability distribution function. The solution is given in terms of special Gaussian HyperGeometric function which accurately describes the transcendent error weighting function between the Rayleigh (i.e. narrow-band) and Gaussian (i.e. broad band) contribution of the random vibration fatigue model. HyperGeometric-based solution is more accurate compared to other approximate methods based on the peak distribution from literature. Fatigue benchmark test comparison is performed in time and frequency domains with very good match-up reported. © 2 he Authors. Published by ELSEVIER B.V. This open a cess article under the CC BY- C-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) ie unde responsibility of ICSID 2020 Organizers. Keywords: Spectral fatigue ; Probability density function ; Rice/Lalanne distribution ; HyperGeometric function 1. Introduction A crack may initiate in an engineering structure and further propagate under service loading conditions induced by random vibration mechanisms, Čakmak et al. (2019a,b), Oshmarin et al. (2020), Romanin et al. (2020), Sepe et al. (2019), Kožar et al. (2019), Majidi et al. (2019). In such cases, the most common approach for predicting fatigue life is spectral, i.e. statistical approach, Bishop and Sherratt (2000). Fatigue assessment is then normally performed in the frequency domain, Čakmak et al. (2019c), which is computationally less intensive compared to long term simulations 4th International Conference on Structural Integrity and Durability, ICSID 2020 Explicit solution of Rice/Lalanne peak probability distribution for statistical fatigue assess ent in the frequency do ain Damjan Čakmak a, *, Zvonimir Tomičević a , Hinko Wolf a , Željko Božić a , Damir Semenski a a University of Zagreb, Faculty of Mech. Eng. And Nav. Arch., I. Lu č i ć a 5, 10000 Zagreb, Croatia Abstract A closed-form explicit solution for statistical fatigue life assessment under broad-band stochastic loading is proposed herein. Obtained solution is valid for stationary, random and ergodic zero mean Gaussian stress process. It is based on Rice/Lalanne peak stress probability distribution function. The solution is given in terms of special Gaussian HyperGeometric function which accurately describes the transcendent error weighting function between the Rayleigh (i.e. narrow-band) and Gaussian (i.e. broad band) contribution of the random vibration fatigue model. HyperGeometric-based solution is more accurate compared to other approximate methods based on the peak distribution from literature. Fatigue benchmark test comparison is performed in time and frequency domains with very good match-up reported. © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of ICSID 2020 Organizers. Keywords: Spectral fatigue ; Probability density function ; Rice/Lalanne distribution ; HyperGeometric function 1. Introduction A crack may initiate in an engineering structure and further propagate under service loading conditions induced by random vibration mechanisms, Čakmak et al. (2019a,b), Oshmarin et al. (2020), Romanin et al. (2020), Sepe et al. (2019), Kožar et al. (2019), Majidi et al. (2019). In such cases, the most common approach for predicting fatigue life is spectral, i.e. statistical approach, Bishop and Sherratt (2000). Fatigue assessment is then normally performed in the frequency domain, Čakmak et al. (2019c), which is computationally less intensive compared to long term simulations 4th International Conference on Structural Integrity and Durability, ICSID 2020 Explicit solution of Rice/Lalanne peak probability distribution for statistical fatigue assessment in the frequency domain Damjan Čakmak a, *, Zvonimir Tomičević a , Hinko Wolf a , Željko Božić a , Damir Semenski a a University of Zagreb, Faculty of Mech. Eng. And Nav. Arch., I. Lu č i ć a 5, 10000 Zagreb, Croatia

* Corresponding author. Tel.: +385 1 6168 426; fax: +385 1 6156 940. E-mail address: damjan.cakmak@fsb.hr * Corresponding author. Tel.: +385 1 6168 426; fax: +385 1 6156 940. E-mail address: damjan.cakmak@fsb.hr

2452-3216© 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of ICSID 2020 Organizers. 2452-3216© 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of ICSID 2020 Organizers.

2452-3216 © 2021 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of ICSID 2020 Organizers. 10.1016/j.prostr.2021.03.016