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Monte Carlo simulation and evaluation of burst strength of pressure vessels

  • Georg W. Mair , Bin Wang and Manfred Spode
Published/Copyright: November 18, 2019
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Abstract

The Monte Carlo method enables the statistical simulation of the mechanical properties of groups taken from a given population. In the case of composite pressure vessels used for hydrogen storage, properties like burst strength or fatigue cycle strength are of interest. This paper provides comprehensive information on how populations are generated and how samples can be taken and evaluated; it also explains how to determine the acceptance rate of random samples from simulated populations for passing the approval test “minimum burst pressure”. A word of caution is also expressed regarding the evaluation of acceptance rates from a small sample.


*Correspondence Address, Dr. Georg W. Mair, BAM Division 3., Section “Focus Area Energy – Gases”, Unter den Eichen 44-46, 12203 Berlin, Germany, E-mail:

Dr.-Ing. Georg W. Mair, born in 1964, studied Aeronautical Engineering at the Technical University of Berlin and received his PhD at the TU Berlin in 1995. Since 1996, he has been at BAM Federal Institute of Materials Research and Testing and has been responsible for the section Pressure Receptacles and Fuel Gas Storage Systems of Division 3.2 since 2000. Presently, he is head of the Section “ Focus area energy – Gases “ in Department 3 “ Containment Systems for Dangerous Goods”.

Dr.-Ing. Bin Wang, born in 1968, studied Computational Engineering at the University of Applied Sciences Berlin and achieved his PhD at Loughborough University in England. From 2002 to 2018 he worked as a structural engineer in the fields of finite element analysis, fatigue and damage tolerance in Germany and in the UK mostly for aircraft structures. Since 2018, he has been Research Fellow at BAM Federal Institute of Materials Research and Testing, in the section “Focus area energy – Gases “in Department 3” Containment Systems for Dangerous Goods”.

Dipl.-Ing. (FH) Manfred Spode, born in 1954, studied Technical Equipment/Supply Technology at the University of Applied Sciences Berlin until 1978. Thereafter, he worked as a Project Engineer in the field of technical building equipment and from 1988 as Supply Engineer at BAM in the service department. Since 2011 he has worked for the section “Focus area energy – Gases” in Department 3 “Containment Systems for Dangerous Goods” at the Federal Institute for Materials Research and Testing (BAM) in Berlin. He is now in charge for approving pressure receptacles for the transport of dangerous goods and related research projects.


References

1 G. W.Mair: Safety Assessment of Composite Cylinders for Gas Storage by Statistical Methods – Potential for Design Optimisation Beyond Limits of Current Regulations and Standards, Springer, Berlin (2017) 10.1007/978-3-319-49710-5Search in Google Scholar

2 G. W.Mair, F.Scherer, M.Hoffmann: Type approach of composite gas cylinders – Probabilistical analysis of standards’ requirements concerning minimum burst pressure, International Journal of Hydrogen Energy40 (2015), pp. 5359536610.1016/j.ijhydene.2015.01.161Search in Google Scholar

3 G. W.Mair, B.Becker, E.Duffner, H.Saul and A.Schoppa: Composite gas cylinders – Probabilistic analysis of minimum load cycle requirements, International Journal of Hydrogen Energy42 (2017), pp. 7474748410.1016/j.ijhydene.2016.06.067Search in Google Scholar

4 G. W.Mair: Regulations and research on RC&S for hydrogen storage relevant to transport and vehicle issues with special focus on composite containments, International Journal of Hydrogen Energy39 (2014), pp. 6132614510.1016/j.ijhydene.2013.08.141Search in Google Scholar

5 B.Becker, G. W.Mair: Risks and safety level of composite cylinders, International Journal of Hydrogen Energy42 (2017), pp. 138101381710.1016/j.ijhydene.2017.01.145Search in Google Scholar

6 G. W.Mair, MartinHoffmann: Assessment of the residual strength thresholds of composite pressure receptacles – Criteria for hydraulic load cycle testing, Materials Testing 55, Carl Hanser Verlag, München (2013), No. 2, pp. 12112910.3139/120.110413Search in Google Scholar

7 D. P.Kroese, T.Brereton, T.Taimre, Z. I.Botev: Why the Monte Carlo method is so important today, WIREs Comput Stat.6 (6), pp. 38639210.1002/wics.1314,Search in Google Scholar

8 D.Hubbard, D.Samuelson: Modeling Without Measurements, OR/MS Today36 (2009), No. 5, pp. 2633Search in Google Scholar

9 J. C.Spall: Estimation via Markov Chain Monte Carlo, IEEE Control Systems Magazine23 (2003), No. 2, pp. 344510.1109/MCS.2003.1188770Search in Google Scholar

10 B.Becker; G. W.Mair: Statistical analysis of burst requirements from regulations for composite cylinders in hydrogen transport, Materials Testing 59, Carl Hanser Verlag, München (2017), No. 3, pp. 226232, DOI:10.3139/120.11098810.3139/120.110988Search in Google Scholar

11 G. W.Mair, B.Becker, S.John, E.Duffner: Composite storage systems for compressed hydrogen – systematic improvement of regulations for more attractive storage units, International Journal of Hydrogen Energy43 (2018), pp. 1810.1016/j.ijhydene.2018.04.068Search in Google Scholar

12 G. W.Mair, B.Becker, B.Wang, S.Gesell: Monte-Carlo-analysis of minimum load cycle requirements for composite cylinders for hydrogen, International Journal of Hydrogen Energy43 (2018), pp. 8833884110.1016/j.ijhydene.2018.09.185Search in Google Scholar

13 B.Becker, G. W.Mair: Statistical analysis of burst requirements from regulations for composite cylinders in hydrogen transport, Materials Testing59 (2017), No. 3, pp. 22623210.3139/120.110988Search in Google Scholar

14 G.Marsaglia, T. A.Bray: A Convenient Method For Generating Normal Variables, SIAM Review6 (1964), No. 3, pp. 26026410.1137/1006063Search in Google Scholar

15 EN 12245: Transportable Gas Cylinders – Fully Wrapped Composite Cylinders, CEN, Brussels; Belgium (2012)Search in Google Scholar

16 ISO 5479: Statistical Interpretation of Data – Tests for Departure from the Normal Distribution, ISO, Geneva, Switzerland (1997)Search in Google Scholar

17 G. W.Mair, F.Scherer: Statistic evaluation of sample test results to determine residual strength of composite gas cylinders, Material Testing55 (2013), No. 10, pp. 72873610.3139/120.110494Search in Google Scholar

Published Online: 2019-11-18
Published in Print: 2019-12-02

© 2019, Carl Hanser Verlag, München

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