PSI - Issue 38

L. Heindel et al. / Procedia Structural Integrity 38 (2022) 159–167

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L. Heindel et al. / Structural Integrity Procedia 00 (2021) 000–000

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formance, which could be improved significantly by their combination. Especially the predictions resulting from the second hybrid modeling strategy yielded consistently better fatigue damage approximations than all other variants. In further studies, this approach should be scaled to setups with a higher number of sensors in order to test its lim itations. Many industrial applications also feature sensors with di ff erent sampling frequencies, which have to be in tegrated into one prediction. Finally, it should be investigated whether the inverse of FP, i.e. the required system actuation to generate a specific response, can be retrieved using this approach.

5. Acknowledgments

This measure is co-financed with tax revenues on the basis of the bud get adopted by the members of the Saxon State Parliament.

The authors gratefully acknowledge the GWK support for funding this project by providing computing time through the Center for Information Services and HPC (ZIH) at TU Dresden.

References

Beste, A., Dreßler, K., Ko¨ tzle, H., Kru¨ger, W., Maier, B., Petersen, J., 1992. Multiaxial rainflow: A consequent continuation of professor tatsuo endo’s work, in: Murakami, Y. (Ed.), The Rainflow Method in Fatigue. Butterworth-Heinemann, pp. 31– 40. URL: https://www.sciencedirect.com/science/article/pii/B9780750605045500126 , doi: https://doi.org/10.1016/ B978-0-7506-0504-5.50012-6 . Ching, J., Beck, J., 2007. Real-time reliability estimation for serviceability limit states in structures with uncertain dynamic excitation and incom plete output data. Probabilistic Engineering Mechanics 22, 50–62. URL: https://www.sciencedirect.com/science/article/pii/ S0266892006000233 , doi: https://doi.org/10.1016/j.probengmech.2006.05.006 . Cryer, B.W., Nawrocki, P.E., Lund, R.A., 1976. A Road Simulation System for Heavy Duty Vehicles. SAE Technical Paper 760361 , 13URL: https://doi.org/10.1162/neco.1997.9.8.1735 , doi: https://doi.org/10.4271/760361 . Dodds, C., Plummer, A., 2001. Laboratory road simulation for full vehicle testing: A review, in: SIAT 2001. doi: 10.4271/2001-26-0047 . Gers, F., Schmidhuber, J., Cummins, F., 1999. Learning to forget: continual prediction with lstm. IET Conference Proceedings , 850–855(5)URL: https://digital-library.theiet.org/content/conferences/10.1049/cp_19991218 . Haibach, E., 2002. Betriebsfestigkeit: Verfahren und Daten zur Bauteilberechnung. VDI-Buch, Springer. URL: https://books.google.de/ books?id=vwZ_U6eTcycC . Hay, N.C., Roberts, D.E., 2007. Iterative control in automotive testing. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 221, 223–233. URL: https://doi.org/10.1243/09596518JSCE306 , doi: 10.1243/ 09596518JSCE306 . Hinton, G., 2012. Lecture 6a overview of mini-batch gradient descent. Hjelm, H., Brincker, R., Graugaard-Jensen, J., Munch, K., 2005. Determination of stress histories in structures by natural input modal analysis. Proceedings of IMAC-XXIII, A Conference & Exposition on Structural Dynamics . Hochreiter, S., Schmidhuber, J., 1997. Long Short-Term Memory. Neural Computation 9, 1735– 1780. URL: https://doi.org/10.1162/neco.1997.9.8.1735 , doi: 10.1162/neco.1997.9.8.1735 , arXiv:https://direct.mit.edu/neco/article-pdf/9/8/1735/813796/neco.1997.9.8.1735.pdf . Kullaa, J., 2019. Bayesian virtual sensing in structural dynamics. Mechanical Systems and Signal Processing 115, 497–513. URL: https://www. sciencedirect.com/science/article/pii/S0888327018303467 , doi: https://doi.org/10.1016/j.ymssp.2018.06.010 . McInnes, C., Meehan, P., 2008. Equivalence of four-point and three-point rainflow cycle counting algorithms. International Journal of Fatigue 30, 547–559. URL: https://www.sciencedirect.com/science/article/pii/S0142112307001119 , doi: https://doi.org/10.1016/ j.ijfatigue.2007.03.006 . Natke, H.G., 1988. Einfu¨hrung in Theorie und Praxis der Zeitreihen- und Modalanalyse: Identifikation schwingungsfa¨higer elastomechanischer Systeme. Palmgren, A., 1924. Die Lebensdauer von Kugellagern. Zeitschrift des Vereines Deutscher Ingenieure 68, 339–341. Rouss, V., Charon, W., Cirrincione, G., 2009. Neural model of the dynamic behaviour of a non-linear mechanical system. Mechanical Systems and Signal Processing 23, 1145–1159. URL: https://www.sciencedirect.com/science/article/pii/S0888327008002215 , doi: https: //doi.org/10.1016/j.ymssp.2008.09.004 .