Bayesian Sequential Experimental Design for Fatigue Tests
DOI:
https://doi.org/10.23998/rm.64924Keywords:
Bayesian inference, Bayesian experimental design, Non-linear continuous damage model, hierarchical modeling, Fisher InformationAbstract
A Bayesian sequential experimental design for fatigue testing was implemented on the basis on D-optimality and a non-linear continuous damage model. The design accounts for the whole range of testing levels.
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Fatigue & Fracture of Engineering Materials & Structures, 11(1):1-17, 1988.
[2] Kathryn Chaloner and Isabella Verdinelli. Bayesian experimental design: A review.
Statistical Science, pages 273-304, 1995.
[3] W. J. Dixon. The up-and-down method for small samples. American Statistical
Association Journal, 60(312):967-978, 1965.
[4] B Roy Frieden. Science from Fisher information: a unication. Cambridge University
Press, 2004.
[5] Tero Frondelius, Pasi Halla-aho, and Antti Mäntylä. Crankshaft development with
virtual engine modelling. In CIMAC Congress Helsinki, 2016.
[6] Andrew Gelman, John B Carlin, Hal S Stern, and Donald B Rubin. Bayesian data
analysis, volume 2. Chapman & Hall/CRC Boca Raton, FL, USA, 2014.
[7] Juho Könnö, Hannu Tienhaara, and Tero Frondelius. Wärtsilä digital design platform.
Rakenteiden mekaniikka, 50(3), 2017.
[8] Asko Kumpula, Joona Vaara, Anton Leppänen, and Tero Frondelius. Nodular cast
iron ONERA fatigue model fitting. Rakenteiden mekaniikka, 50(3), 2017.
[9] Anton Leppänen, Asko Kumpula, Joona Vaara, Massimo Cattarinussi, Juho Könnö,
and Tero Frondelius. Thermomechanical fatigue analysis of cylinder head. Rakentei-
den mekaniikka, 50(3), 2017.
[10] Francis G Pascual and William Q Meeker. Estimating fatigue curves with the random
fatigue-limit model. Technometrics, 41(4):277-289, 1999.
[11] Roger Rabb. Todennäköisyysteoriaan pohjautuva väsymisanalyysi. ISBN: 978-952-
286-210-5. Books on demand. pages 308-309, 2013.
[12] Kenneth J Ryan. Estimating expected information gains for experimental designs
with application to the random fatigue-limit model. Journal of Computational and
Graphical Statistics, 12(3):585-603, 2003.
[13] Stan Development Team. PyStan: the Python interface to Stan, 2016. Version
2.15.0.0.
[14] Ilkka Väisänen, Antti Mäntylä, Antti Korpela, and Tero Frondelius. Medium speed
engine crankshaft analysis. Rakenteiden mekaniikka, 50(3), 2017.
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Published
2017-08-21
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Copyright (c) 2017 Miikka Väntänen, Joona Vaara, Jukka Aho, Jukka Kemppainen, Tero Frondelius
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
How to Cite
Bayesian Sequential Experimental Design for Fatigue Tests. (2017). Journal of Structural Mechanics, 50(3), 201-205. https://doi.org/10.23998/rm.64924
