Data Treatment and Generation of Fatigue Load Spectrum

  • J. J. Xiong
  • R. A. Shenoi
Part of the Springer Series in Reliability Engineering book series (RELIABILITY)


Novel convergence-divergence counting procedure is presented to extract all load cycles from a load history of divergence-convergence waves. The lowest number of load history sampling is established based on the damage-based prediction criterion. A parameter estimation formula is proposed for hypothesis testing of the load distribution. An original load history generation approach is established for full-scale accelerated fatigue tests. Primary focus is placed on the load cycle identification such as to minimize experimental time while having no significant effects on the new generated load history. The load cycles extracted from an original load history are identified into three kinds of cycles namely main, secondary and carrier cycles. Then the principles are presented to generate the load spectrum for accelerated tests, or a large percentage of small amplitude carrier cycles are deleted, a certain number of secondary cycles are merged, and the main cycle and the sequence between main and secondary cycles are maintained. The core of the generation approach is that explicit criteria for load cycle identification are established and equivalent damage calculation formulae are presented. These quantify the damage for accelerated fatigue tests.


Load Cycle Stress Cycle Load History Load Spectrum Total Test Time 
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  1. 1.
    Jeon WS, Song JH (2002) An expert system for estimation of fatigue properties of metallic materials. Int J Fatigue 24(6):685–698CrossRefGoogle Scholar
  2. 2.
    Tovo R (2000) A damage-based evaluation of probability density distribution for rain-flow ranges from random processes. Int J Fatigue 22(5):425–429CrossRefGoogle Scholar
  3. 3.
    Tovo R (2002) Cycle distribution and fatigue damage under broad-band random loading. Int J Fatigue 24(11):1137–1147MATHCrossRefGoogle Scholar
  4. 4.
    Nagode M, Fajdiga M (1998) On a new method for prediction of the scatter of loading spectra. Int J Fatigue 20(4):271–277CrossRefGoogle Scholar
  5. 5.
    Klemenc J, Fajdiga M (2000) Description of statistical dependencies of parameters of random load states (dependency of random load parameters). Int J Fatigue 22(5):357–367CrossRefGoogle Scholar
  6. 6.
    Nagode M, Klemence J, Fajdiga M (2001) Parametric modelling and scatter prediction of rainflow matrices. Int J Fatigue 23:525–532CrossRefGoogle Scholar
  7. 7.
    Nagode M, Fajdiga M (1998) A general multi-modal probability density function suitable for the rainflow ranges of stationary random processes. Int J Fatigue 20(3):211–223CrossRefGoogle Scholar
  8. 8.
    Olagnon M (1994) Practical computation of statistical properties of rainflow counts. Int J Fatigue 16:306–314CrossRefGoogle Scholar
  9. 9.
    Zhao W, Baker MJ (1992) On the probability density function of rainflow stress range for stationary Gaussian processes. Int J Fatigue 14(2):121–135CrossRefGoogle Scholar
  10. 10.
    Amzallag C, Gerey JP, Robert JL, Bahuaud J (1994) Standardization of the rainflow counting method for fatigue analysis. Int J Fatigue 16:287–293CrossRefGoogle Scholar
  11. 11.
    Downing SD, Socie DF (1982) Simple rainflow counting algorithms. Int J Fatigue 4:31–40CrossRefGoogle Scholar
  12. 12.
    Glinka G, Kam ICP (1987) Rainflow counting algorithm for very long stress histories. Int J Fatigue 9:223–228CrossRefGoogle Scholar
  13. 13.
    Hong N (1991) A modified rainflow counting method. Int J Fatigue 13:465–469CrossRefGoogle Scholar
  14. 14.
    Rychlik I (1987) A new definition of the rainflow cycle counting method. Int J Fatigue 9(2):119–121CrossRefGoogle Scholar
  15. 15.
    Fowler KR, Watanabe RT (1989) Development of jet transport airframe fatigue test spectra. In: Potter JM, Watanabe RT (eds) Development of fatigue loading spectra. ASTM STP 1006, pp 36–64. ASTM, PhiladelphiaGoogle Scholar
  16. 16.
    Schütz W (1989) Standardized stress-time histories-An overview. In: Potter JM, Watanabe RT (eds) Development of fatigue loading spectra. ASTM-STP 1006, pp 3–16. ASTM, PhiladelphiaGoogle Scholar
  17. 17.
    Heuler P, Klätschke H (2005) Generation and use of standardised load spectra and load-time histories. Int J Fatigue 27(8):974–990MATHCrossRefGoogle Scholar
  18. 18.
    Schijve J, Vlutters AM, Ichsan A, Kluit JCP (1985) Crack growth in aluminium alloy sheet material under flight-simulation loading. Int J Fatigue 7(3):127–136CrossRefGoogle Scholar
  19. 19.
    Yan JH, Zheng XL, Zhao K (2001) Experimental investigation on the small-load-omitting criterion. Int J Fatigue 23(5):403–415CrossRefGoogle Scholar
  20. 20.
    Schön J (2006) Spectrum fatigue loading of composite bolted joints-Small cycle elimination. Int J Fatigue 28(1):73–78CrossRefGoogle Scholar
  21. 21.
    Socie DF, Artwohl PJ (1980) Effect of history editing on fatigue crack initiation and propagation in a notched member. In: Bryan DF, Potter IM (eds) Effect of load history variables on fatigue crack initiation and propagation. ASTM STP 714, pp 3–23. ASTM, PhiladelphiaGoogle Scholar
  22. 22.
    Pompetzki TH, Topper TH, DuQuesnay DL (1990) The effect of compressive underloads and tensile overloads on fatigue damage accumulation in SAE 1045 steel. Int J Fatigue 12:207–213CrossRefGoogle Scholar
  23. 23.
    Klemenc J, Fajdiga M (2004) An improvement to the methods for estimating the statistical dependencies of the parameters of random load states. Int J Fatigue 26(2):141–154MATHCrossRefGoogle Scholar
  24. 24.
    Xiong JJ, Shenoi RA (2005) An integrated and practical reliability-based data treatment system for actual load history. Fatigue Fract Eng Mater Struct 28(10):875–889CrossRefGoogle Scholar
  25. 25.
    Xiong JJ, Shenoi RA (2008) A load history generation approach for full-scale accelerated fatigue tests. Eng Fract Mech 75(10):3226–3243CrossRefGoogle Scholar
  26. 26.
    Matsuishi M, Endo T (1968) Fatigue of metals subjected to varying stress. In: Proceedings of the Kyushu Branch of Japan Society of Mechanics Engineering, Fukuoka, Japan (in Japanese). 1968, pp 37–40Google Scholar
  27. 27.
    Anthes RJ (1997) Modified rainflow counting keeping the load sequence. Int J Fatigue 19(7):529–535CrossRefGoogle Scholar
  28. 28.
    Gao ZT, Jiang XT, Xiong JJ, Guo GH, Gan WM, Xia QY, Wang SP, Zeng BY (1999) Test design and data treatment for fatigue behaviour. Beihang University Press, BeijingGoogle Scholar

Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Aircraft DepartmentBeihang UniversityBeijingPeople’s Republic of China
  2. 2.School of Engineering SciencesUniversity of SouthamptonSouthamptonUK

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