Optimized random sampling for the load level method in Wöhler tests
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Barbara Iglisch
Abstract
For the optimal planning of Wöhler tests, DIN 50100 offers tables with different methods, such as the load level method, the pearl-string method and staircase method, to identify the required minimum sample size. Based on this norm, the sampling planning by means of the load level method was optimized in this work. Analytical formulas were developed with statistical methods. These formulas enable a fast estimation of the sample size for arbitrary use cases. Another optimization was the implementation of varying standard deviation within the area of fatigue strength in the load level method corresponding to DIN 50100. This optimization decreases the sample size compared to a constant standard deviation. Both optimizations were implemented via a MATLAB® based tool which also contains the methods of DIN 50100.
References
1 E.Haibach: Betriebsfestigkeit, 3rd Ed., Springer, Berlin, Germany (2006) 10.1007/3-540-29364-7Suche in Google Scholar
2 D.Radaj, M.Vormwald: Ermüdungsfestigkeit. Grundlagen für Ingenieure, 3rd Ed., Springer, Berlin, Germany (2007) 10.1007/978-3-540-71459-0Suche in Google Scholar
3 B.Bertsche, G.Lechner: Reliability in automotive and mechanical engineering, Springer, Berlin, Germany (2008) 10.1007/978-3-540-34282-3Suche in Google Scholar
4 DIN 50100: Schwingfestigkeitsversuch – Durchführung und Auswertung von zyklischen Versuchen mit konstanter Lastamplitude für metallische Werkstoffproben und Bauteile, Beuth-Verlag, Berlin, Germany (2016) 10.31030/2580844Suche in Google Scholar
5 C.Müller: Zur statistischen Auswertung experimenteller Wöhlerlinien, Dissertation, Technical University of Clausthal, Clausthal-Zellerfeld, Germany (2015) 10.21268/20150522-095904Suche in Google Scholar
6 J.Schijve: Fatigue predictions and scatter, Fatigue & Fracture of Engineering Materials & Structures17 (2004), No. 4, pp. 381–39610.1111/j.1460-2695.1994.tb00239.xSuche in Google Scholar
7 A.Wöhler: Über die Festigkeitsversuche mit Eisen und Stahl, Zeitschrift für Bauwesen20 (1870), pp. 73–106 URN: urn:nbn:de:kobv:109-1-13959565Suche in Google Scholar
8 M.Hück: Ein verbessertes Verfahren für die Auswertung von Treppenstufenversuchen, Zeitschrift für Werkstofftechnik14 (1983), No. 12, pp. 406–41710.1002/mawe.19830141207Suche in Google Scholar
9 A.Martin, K.Hinkelmann, A.Esderts: Zur Auswertung von Schwingfestigkeitsversuchen im Zeitfestigkeitsbereich: Teil 1: Wie zuverlässig können 50 %-Wöhlerlinien aus experimentellen Daten geschätzt werden?, Materials Testing53 (2011), No. 9, pp. 502–51210.3139/120.110255Suche in Google Scholar
10 A.Martin, K.Hinkelmann, A.Esderts: Zur Auswertung von Schwingfestigkeitsversuchen im Zeitfestigkeitsbereich: Teil 2: Wie zuverlässig kann die Standardabweichung aus experimentellen Daten geschätzt werden?, Materials Testing53 (2011), No. 9, pp. 513–52110.3139/120.110256Suche in Google Scholar
11 VDI 4008-6: Monte Carlo simulation, Beuth-Verlag, Berlin, Germany (1999)Suche in Google Scholar
12 R.Beyer, E.Lauster: Statistische Lebensdauerprüfpläne bei Berücksichtigung von Vorkenntnissen. QZ (1990), pp. 93–98Suche in Google Scholar
13 A.Kleyner, S.Bhagath, M.Gasparini, J.Robinson, M.Bender: Bayesian techniques to reduce the sample size in automotive electronics attribute testing, Microelectronics Reliability37 (1997), No. 6, pp. 879–88310.1016/S0026-2714(96)00253-3Suche in Google Scholar
14 A.Krolo: Planung von Zuverlässigkeitstests mit weitreichender Berücksichtigung von Vorkenntnissen, Dissertation, University of Stuttgart, Stuttgart, Germany (2004)Suche in Google Scholar
15 B.Iglisch: Development of an optimized sampling frame for Wöhler tests, Seminar Paper, University of Stuttgart, Institut for Machine Components, Stuttgart, Germany (2017) 10.18419/opus-4023Suche in Google Scholar
16 L.Fahrmeir, T.Kneib, S.Lang: Regression. Modelle, Methoden und Anwendungen. Statistik und ihre Anwendungen, Springer-Verlag, Berlin, Heidelberg, Germany (2009) 10.1007/978-3-642-01837-4Suche in Google Scholar
17 S.Jetter, F.Müller, R.Weller, B.Bertsche, P.Müller: Ein Vier-Stufen-Prozess zur simulativen Zuverlässigkeitsberechnung von Kurbelgehäusen, Konstruktion69 (2017), 07-08, pp. 69–8210.37544/0720-5953-2017-07-08-69Suche in Google Scholar
18 W.-W.Maenning: Das Abgrenzungsverfahren, eine kostensparende Methode zur Ermittlung von Schwingfestigkeitswerten, Materialprüfung19 (1977), No. 8, pp. 280–289Suche in Google Scholar
19 D. J.Finney: Probit analysis, Cambrigde University Press, London, Great Britain (1947)Suche in Google Scholar
© 2019, Carl Hanser Verlag, München
Artikel in diesem Heft
- Inhalt/Contents
- Contents
- Fachbeiträge/Technical Contributions
- Mechanical properties of cryogenically treated AA5083 friction stir welds
- Fatigue life evaluation of composite wing spar cap materials
- Effect of Cu addition on porous NiTi SMAs produced by self-propagating high-temperature synthesis
- Optimized random sampling for the load level method in Wöhler tests
- Monte Carlo simulation and evaluation of burst strength of pressure vessels
- Stress analysis of a Wankel engine eccentric shaft under varied thermal conditions
- Effectiveness of Ti micro-alloying for the suppression of Fe impurities in AZ91 Mg alloys and associated corrosion properties
- Mechanical properties of hybrid fiber reinforced concrete and a nondestructive evaluation
- Multi-objective optimization of an intersecting elliptical pressure hull as a means of buckling pressure maximizing and weight minimization
- Preload dependent material properties of lamination stacks for electric machines
- Effect of inoculant type and treatment material quantity on properties of vermicular graphite cast iron rail vehicle brake discs
- Effects of the chemical treatment of avocado pear wood filler on the properties of LDPE composites
- Uncertainty analysis of cutting parameters during grinding based on RSM optimization and Monte Carlo simulation
- Applicability of compact tension specimens for evaluation of the plane-strain fracture toughness of steel
Artikel in diesem Heft
- Inhalt/Contents
- Contents
- Fachbeiträge/Technical Contributions
- Mechanical properties of cryogenically treated AA5083 friction stir welds
- Fatigue life evaluation of composite wing spar cap materials
- Effect of Cu addition on porous NiTi SMAs produced by self-propagating high-temperature synthesis
- Optimized random sampling for the load level method in Wöhler tests
- Monte Carlo simulation and evaluation of burst strength of pressure vessels
- Stress analysis of a Wankel engine eccentric shaft under varied thermal conditions
- Effectiveness of Ti micro-alloying for the suppression of Fe impurities in AZ91 Mg alloys and associated corrosion properties
- Mechanical properties of hybrid fiber reinforced concrete and a nondestructive evaluation
- Multi-objective optimization of an intersecting elliptical pressure hull as a means of buckling pressure maximizing and weight minimization
- Preload dependent material properties of lamination stacks for electric machines
- Effect of inoculant type and treatment material quantity on properties of vermicular graphite cast iron rail vehicle brake discs
- Effects of the chemical treatment of avocado pear wood filler on the properties of LDPE composites
- Uncertainty analysis of cutting parameters during grinding based on RSM optimization and Monte Carlo simulation
- Applicability of compact tension specimens for evaluation of the plane-strain fracture toughness of steel
