PSI - Issue 37

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Procedia Structural Integrity 37 (2022) 622–631

ICSI 2021 The 4th International Conference on Structural Integrity On the transmission of non-Gaussian random loading through linear structures ICSI 2021 The 4th International Conference on Structural Integrity On the transmission of non-Gaussian random loading through linear structures

Arvid Trapp*, Fabian Hollweck, Peter Wolfsteiner Munich University of Applied Sciences, Dachauer Str. 98b, 80335 München, Germany Arvid Trapp*, Fabian Hollweck, Peter Wolfsteiner Munich University of Applied Sciences, Dachauer Str. 98b, 80335 München, Germany

Abstract Abstract

© 2022 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 Pedro Miguel Guimaraes Pires Moreira The kurtosis finds popular application for characterizing the non-Gaussianity of random loading. Commonly overseen is that the kurtosis has a spectral representation – the trispectrum, which provides substantial information regarding the specific nature of the non-Gaussianity and the affected frequencies. This becomes crucial when estimating the degree of non-Gaussianity that transfers into structural responses and consequently affects fatigue damage. To shed light on the mechanisms that describe the transmission of the kurtosis into structural responses of linear systems, this paper covers three central aspects. The first is an overview on estimation and visualization techniques of the trispectrum. Secondly, the transfer characteristic of the trispectrum through linear structures is examined. Lastly, on this basis, popular kurtosis control algorithms are employed to demonstrate that mechanical structures with relevant resonances are more sensitive to non-stationary non-Gaussian loading than to stationary non Gaussian loading. © 20 2 The Authors. Published by ELSE IER 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 Pedro Miguel Guimaraes Pires Moreira Keywords: non-Gaussian random loading, higher-order statistics, trispectrum, kurtosis control, linear systems theory, frequency-domain kurtosis 1. Introduction In the design process of highly loaded structures, it is crucial to evaluate the in-service loading of structures in terms of its fatigue damage potential. The relevant load assumptions may be obtained from measurements on existing structures, be approximated by synthetical models, or be specified by test standards. Considering random vibration, stationary Gaussian loading is fully characterized by its corresponding power spectral density (PSD). However, reality The kurtosis finds popular application for characterizing the non-Gaussianity of random loading. Commonly overseen is that the kurtosis has a spectral representation – the trispectrum, which provides substantial information regarding the specific nature of the non-Gaussianity and the affected frequencies. This becomes crucial when estimating the degree of non-Gaussianity that transfers into structural responses and consequently affects fatigue damage. To shed light on the mechanisms that describe the transmission of the kurtosis into structural responses of linear systems, this paper covers three central aspects. The first is an overview on estimation and visualization techniques of the trispectrum. Secondly, the transfer characteristic of the trispectrum through linear structures is examined. Lastly, on this basis, popular kurtosis control algorithms are employed to demonstrate that mechanical structures with relevant resonances are more sensitive to non-stationary non-Gaussian loading than to stationary non Gaussian loading. © 2022 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 Pedro Miguel Guimaraes Pires Moreira Keywords: non-Gaussian random loading, higher-order statistics, trispectrum, kurtosis control, linear systems theory, frequency-domain kurtosis 1. Introduction In the design process of highly loaded structures, it is crucial to evaluate the in-service loading of structures in terms of its fatigue damage potential. The relevant load assumptions may be obtained from measurements on existing structures, be approximated by synthetical models, or be specified by test standards. Considering random vibration, stationary Gaussian loading is fully characterized by its corresponding power spectral density (PSD). However, reality

* E-mail address: atrapp@hm.edu * E-mail address: atrapp@hm.edu

2452-3216 © 2022 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 Pedro Miguel Guimaraes Pires Moreira 2452-3216 © 2022 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 Pedro Miguel Guimaraes Pires Moreira

2452-3216 © 2022 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 Pedro Miguel Guimaraes Pires Moreira 10.1016/j.prostr.2022.01.131