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Fatigue Life Analysis Under Non-Gaussian Random Vibration Excitation

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Non-Gaussian Random Vibration Fatigue Analysis and Accelerated Test

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Abstract

This chapter mainly studies how to obtain accurate and reliable calculation results of fatigue life after obtaining the non-Gaussian random stress response. First, the influence of sampling frequency on the calculation accuracy of fatigue damage is studied, and a stress signal reconstruction method based on Shannon's formula is proposed. Then, based on the rain-flow counting method, the calculation methods of the fatigue life of the structure under the action of narrowband and wideband non-Gaussian random stress are respectively proposed. Finally, the applicability and accuracy of the calculation method of non-Gaussian fatigue life are verified through specific example analysis.

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References

  1. Anthes RJ (1997) Modified rainflow counting kee** the load sequence. Int J Fatigue 19:529–535

    Article  Google Scholar 

  2. Benasciutti D, Tovo R et al (2006) Comparison of spectral methods for fatigue analysis of broad-band Gaussian random processes. Probabilistic Eng Mech

    Google Scholar 

  3. Benasciutti D, Tovo R (2005) Cycle distribution and fatigue damage assessment in broad-band non-Gaussian random processes. Probab Eng Mech 20:115–127

    Article  Google Scholar 

  4. Benasciutti D, Tovo R (2006) Fatigue life assessment in non-Gaussian random loadings. Int J Fatigue 28:733–746

    Article  Google Scholar 

  5. Benasciutti D, Tovo R (2005) Cycle distribution and fatigue damage assessment in broad-band non-Gaussian random pro-cesses. Prob Eng Mech 20:115–127

    Google Scholar 

  6. Bendat JS (1971) Random data analysis and measurement procedures. Willey and Sons, Inc.

    Google Scholar 

  7. Bishop N (1988) The use of frequency domain parameters to predict structural fatigue. University of Warwick

    Google Scholar 

  8. Blum RS, Kozick RJ (1999) An adaptive spatial diversity receiver for non-Gaussian interference and noise. IEEE Trans Signal Process 47:2100–2111

    Article  Google Scholar 

  9. Brodtkorb PA, Johannesson P, Lindgren G et al (2000) WAFO—a Matlab toolbox for analysis of random waves and loads. In: The proceedings of the 10th international offshore and polar engineering conference, vol 3

    Google Scholar 

  10. Butler RW, Machado UB, Rychlik I (2009) Distribution of wave crests in a non-gaussian sea. Appl Ocean Res 31(1):57–64

    Google Scholar 

  11. Dirlik T (1985) Application of computers in fatigue analysis. University of Warwick

    Google Scholar 

  12. Dowling NE (1971) Fatigue failure predictions for complicated stress-strain histories. J Mater

    Google Scholar 

  13. Fatemi A, Young L (1998) Cumulative fatigue damage and live prediction theories: a survey of the state of the art for homogenous materials. Int J Fatigue 20:3–34

    Google Scholar 

  14. Han, Sangbo, ** WC (2002) Retrieving displacement signal from measured acceleration signal. Spie Proc

    Google Scholar 

  15. Jan MM, Gaenser HP, Eichls Ed Er W (2012) Prediction of the low cycle fatigue regime of the s–n curve with application to an aluminium alloy. In: ARCHIVE Proc Inst Mech Eng Part C J Mech Eng Sci 1989–1996 (vols 203–210) 226(5):1198–1209

    Google Scholar 

  16. ** W, Lutes LD (1997) Analytical methods for non-Gaussian stochastic response of offshore structures. Int J Offshore Polar Eng 7:11–17

    Google Scholar 

  17. Johannesson P (1999) Rainflow analysis of switching markov loads. Lund University, Sweden

    Google Scholar 

  18. Kihl DP, Sarkani S, Beach JE (1995) Stochastic fatigue damage accumulation under broadband loadings. Int J Fatigue 17:321–329

    Article  Google Scholar 

  19. Lee YL, Pan J, Hathaway R et al. (2004) Fatigue testing and analysis: theory and practice. Mech Eng 126:59

    Google Scholar 

  20. Lindgren G, Rychlik I, Prevosto M (1999) Stochastic doppler shift and encountered wave period distributions in Gaussian waves. Ocean Eng 26:507–518

    Article  Google Scholar 

  21. Matsuishi M, Endo T (1968) Fatigue of metals subject to varying stress. Jpn Soc Mech Eng

    Google Scholar 

  22. Mcinnes CH, Meehan PA (2008) Equivalence of four-point and three-point rainflow cycle counting algorithms. Int J Fatigue 30:547–559

    Article  Google Scholar 

  23. Mendel JM (1991) Tutorial on higher-order statistics (spectra) in signal processing and system theory: theoretical results and some applications. IEEE Proc 79(3):278–305

    Google Scholar 

  24. Middleton D (1999) Non-Gaussian noise models in signal processing for telecommunications: new methods an results for class A and class B noise models. Information Theory IEEE Transactions on 45:1129–1149

    Article  MathSciNet  Google Scholar 

  25. Miner MA (1945) Cumulative damage in fatigue. Journal of Applied Mechanics 12

    Google Scholar 

  26. Niesłony A, Böhm M (2012) Application of spectral method in fatigue life assessment—determination of crack initiation. J Theor Appl Mech 50:819–829

    Google Scholar 

  27. Nikias CL, Petropulu AP (1993) Higher-order spectra analysis. Prentice-Hall, Englewood Cliffs, NJ

    MATH  Google Scholar 

  28. Ochi MK, Ahn K (1994) Probability distribution applicable to non-Gaussian random processes. Probab Eng Mech 9:255–264

    Article  Google Scholar 

  29. Park Y-S, Kang D-H (2013) Fatigue reliability evaluation technique using probabilistic stress-life method for stress range frequency distribution of a steel welding member. J Vibroeng 15:77–89

    Google Scholar 

  30. Rambabu DV, Ranganath VR, Ramamurty U et al (2010) Variable stress ratio in cumulative fatigue damage: experiments and comparison of three models. ARCHIVE Proc Inst Mech Eng Part C J Mech Eng Sci 1989–1996 (vols 203–210) 224:271–282

    Google Scholar 

  31. Rouillard V (2007) The synthesis of road vehicle vibrations based on the statistical distribution of segment lengths. Engineers Australia

    Google Scholar 

  32. Rychlik I (1994) On the ‘narrow-band’ approximation for expected fatigue damage. Int J Fatigue

    Google Scholar 

  33. Rychlik I et al (2007) Rain-flow fatigue damage for transformed gaussian loads. Int J Fatigue 29:406–420

    Google Scholar 

  34. Rychlik I (1987) A new definition of the rainflow cycle counting method. International Journal of Fatigue 9(2):119–121

    Google Scholar 

  35. Shannon CE (1949) Communication in the presence of noise. Proc IRE 86:10–21

    Article  MathSciNet  Google Scholar 

  36. Shinozuka M, Jan CM (1972) Digital simulation of random processes and its applications. J Sound Vib 25:111–128

    Article  Google Scholar 

  37. Steinwolf A, Ibrahim RA (1999) Numerical and experimental studies of linear systems subjected to non-Gaussian random ex-citations. Prob Eng Mech 14:289–299

    Google Scholar 

  38. Tovo R (2002) Cycle distribution and fatigue damage under broad-band random loading. Int J Fatigue 24:1137–1147

    Article  Google Scholar 

  39. Vincent R (2007) On the non-Gaussian nature of random vehicle vibrations. Lect Notes Eng Comput Sci 2166

    Google Scholar 

  40. Wang J (1992) Non-Gaussian stochastic dynamic response and fatigue of offshore structures. Texas A&M University

    Google Scholar 

  41. Wang MZ (2009) Research on structural vibration fatigue life analysis method. Nan**g University of Aeronautics and Astronautics

    Google Scholar 

  42. Wang X, Sun JQ (2005) Multistage regression fatigue analysis of non-Gaussian stress processes. J Sound Vibr 280:455–465

    Article  Google Scholar 

  43. Winerstein SR (1988) Nonlinear vibration models for extremes and fatigue. J Eng Mech 114:1772–1790

    Article  Google Scholar 

  44. Yu L, Da S PK, Barltrop N (2010) A new look at the effect of bandwidth and non-normality on fatigue damage. Fatigue Fract Eng Mater Struct 27

    Google Scholar 

  45. Yu BY, Feng QK, Yu XL (2013) Dynamic simulation and stress analysis for reciprocating compressor crankshaft. Proc Inst Mech Eng Part C J Mech Eng Sci 227:845–851

    Article  Google Scholar 

  46. Zheng L, Yao H (2013) Effects of the dynamic vehicle-road interaction on the pavement vibration due to road traffic. J Vibroeng. 15:1291–1301

    Google Scholar 

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Acknowledgements

The authors gratefully acknowledge the financial support of the National Natural Science Foundation of China (Nos. 51875570 and 50905181).

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Authors and Affiliations

  1. Laboratory of Science and Technology on Integrated Logistics Support, College of Intelligence Science and Technology, National University of Defense Technology, Changsha, China

    Yu Jiang

  2. Laboratory of Science and Technology on Integrated Logistics Support, College of Intelligence Science and Technology, National University of Defense Technology, Changsha, China

    Junyong Tao

  3. Laboratory of Science and Technology on Integrated Logistics Support, College of Intelligence Science and Technology, National University of Defense Technology, Changsha, China

    Xun Chen

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Jiang, Y., Tao, J., Chen, X. (2022). Fatigue Life Analysis Under Non-Gaussian Random Vibration Excitation. In: Non-Gaussian Random Vibration Fatigue Analysis and Accelerated Test. Springer, Singapore. https://doi.org/10.1007/978-981-16-3694-3_5

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  • DOI: https://doi.org/10.1007/978-981-16-3694-3_5

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-3693-6

  • Online ISBN: 978-981-16-3694-3

  • eBook Packages: EngineeringEngineering (R0)

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