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Reliability Degradation of Mechanical Components and Systems

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Abstract

This chapter focuses on time-dependent reliability assessment approaches. Two new methods are presented to depict the change of reliability with the increase of operation time or the number of applied load cycles. In the first part of this chapter, we present a time-dependent load-strength interference analysis method that models reliability degradation caused by a randomly repeated load. By describing the loading history as the Poisson stochastic process, time-dependent reliability models are developed, and the characteristics of the failure rate curve with respect to different component strength degradation patterns is discussed. In the second part, we present a residual life distribution based method by which we model the change of the residual fatigue life distribution with the number of load cycles. Based on the experimental study of residual fatigue life distributions of two metallic materials, a model is developed to calculate the parameters of residual fatigue life distribution under variable amplitude load history, by which residual life distribution parameters are determined with the known applied load history. Furthermore, a recursive equation is introduced to predict the probability of fatigue failure under variable amplitude load histories.

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References

  1. Li JP, Thompson GA. method to take account of inhomogeneity in mechanical component reliability calculations. IEEE Transactions on Reliability 2005;54(1):159–168.

    Article  Google Scholar 

  2. Moss TR. Mechanical reliability — Research needs. 12th ARTS, Advances in Reliability Technology Symposium, U.K. University of Manchester, April 16–17, 1996.

    Google Scholar 

  3. Crocker J, Kumar UD. Age-related maintenance versus reliability centered maintenance: A case study on aero-engines. Reliability Engineering and System Safety 2000; 67:113–118.

    Article  Google Scholar 

  4. Xu H, Rahman S. Decomposition methods for structural reliability analysis. Probabilistic Engineering Mechanics 2005; 20:239–250.

    Article  Google Scholar 

  5. Petryna YS, Pfanner D, Stangenberg F, Kratzig WB. Reliability of reinforced concrete structures under fatigue. Reliability Engineering and System Safety 2002; 77: 253–261.

    Article  Google Scholar 

  6. Murty ASR, Gupta UC, Krishna AR. A new approach to fatigue strength distribution for fatigue reliability evaluation. International Journal of Fatigue 1995; 17(2):91–100.

    Article  Google Scholar 

  7. Roy D, Dasgupta T. A discretizing approach for evaluating reliability of complex systems under stress-strength model. IEEE Transactions on Reliability 2001; 50(2):145–150.

    Article  MathSciNet  Google Scholar 

  8. Xie LY, Zhou JY. Load-strength order statistics interference models for system reliability evaluation. International Journal of Performability Engineering 2005; 1: 23–36.

    MathSciNet  Google Scholar 

  9. Sun ZL, Chen LY, Zhang Y, et al. Reliability model of mechanical transmission system (I). Journal of Northeastern University (Natural Science) 2003; 24(6):548–551.

    Google Scholar 

  10. Lewis EE. A load-capacity interference model for common-mode failures in 1-out-of-2:G systems. IEEE Transactions on Reliability 2001; 50(1):47–51.

    Article  Google Scholar 

  11. Knut OR, Larsen GC. Reliability-based design of wind-turbine rotor blades against failure in ultimate loading. Engineering Structures 2000; 22:565–574.

    Article  Google Scholar 

  12. Li B, Meilin Z, Kai X. A practical engineering method for fuzzy reliability analysis of mechanical structures. Reliability Engineering and System Safety 2000; 67:311–315.

    Article  Google Scholar 

  13. Tryon RG, Cruse TA, Mahadevan S. Development of a reliability-based fatigue life model for gas turbine engine structures. Engineering Fracture Mechanics 1996; 53:807–828.

    Article  Google Scholar 

  14. Wasserman GS. Reliability verification, testing, and analysis in engineering design. Marcel Dekker, New York, 2003.

    Google Scholar 

  15. O’Connor PDT. Practical reliability engineering. Wiley, New York, 2002.

    Google Scholar 

  16. Larsen RJ, Marx ML. An introduction to mathematical statistics and its application. Prentice Hall, Englewood Cliffs, NJ, 2001; 180.

    Google Scholar 

  17. Ditlevsen O. Stochastic model for joint wave and wind loads on offshore structures. Structural Safety 2002; 24:139–163.

    Article  Google Scholar 

  18. Li J-P, Thompson G. A method to take account of in-homogeneity in mechanical component reliability calculations. IEEE Transactions on Reliability 2005; 54(1):159–168.

    Article  Google Scholar 

  19. Kececioglu D. Reliability analysis of mechanical components and systems. Nuclear Engineering and Design 1972; 19:259–290.

    Article  Google Scholar 

  20. Witt FJ. Stress-strength interference methods. Pressure Vessel and Piping Technology — A Decade of Progress 1985;761–769

    Google Scholar 

  21. Chen D. A new approach to the estimation of fatigue reliability at a single stress level. Reliability Engineering and System Safety 1991; 33:101–113.

    Article  Google Scholar 

  22. Kam, JPC, Birkinshaw M. Reliability-based fatigue and fracture mechanics assessment methodology for offshore structural components. International Journal of Fatigue 1994; 16(3):183–199.

    Article  Google Scholar 

  23. Kececioglu D, Chester LB, Gardne, EO. Sequential cumulative fatigue reliability. In: Annals of Reliability and Maintainability Symposium 1974; 153–159.

    Google Scholar 

  24. Wirsching PH, Wu YT. Probabilistic and statistical methods of fatigue analysis and design. Pressure Vessel and Piping Technology — A Decade of Progress 1985; 793–819.

    Google Scholar 

  25. Pham H. A new generalized systemability model. Int. J. Performability Engineering 2005;1:145–155.

    Google Scholar 

  26. Soares CG. Reliability of marine structures. Reliability Engineering 1988; 55:513–559.

    Google Scholar 

  27. Lucia AC. Structural reliability: an introduction with particular reference to pressure vessel problems. Reliability Engineering 1988; 55:478–512.

    Google Scholar 

  28. Wirsching PH, Torng TY, Martin WS. Advanced fatigue reliability analysis. International Journal of Fatigue 1991; 13: 389–394.

    Article  Google Scholar 

  29. Connly MP, Hudak, SJ. A simple reliability model for the fatigue failure of repairable offshore structures. Fatigue and Fracture of Engineering Materials and Structures 1993; 16:137–150.

    Article  Google Scholar 

  30. Kopnov VA. Residual life, linear fatigue damage accumulation and optimal stopping. Reliability Engineering and System Safety 1993; 40: 319–325.

    Article  Google Scholar 

  31. Tanaka S, Ichikawa M, Akita S. A probabilistic investigation of fatigue life and cumulative cycle ratio. Engineering Fracture Mechanics 1984; 20:501–513.

    Article  Google Scholar 

  32. Bahring H, Dunkel, J. The impact of load changing on lifetime distributions. Reliability Engineering and System Safety 1991;31: 99–110.

    Article  Google Scholar 

  33. Choukairi FZ, Barrault J. Use of a statistical approach to verify the cumulative damage laws in fatigue. International Journal of Fatigue 1993; 15:145–149.

    Article  Google Scholar 

  34. Wu YT, Wirsching PH. Advanced reliability method for fatigue analysis. ASCE J. of Engineering Mechanics 1984; 110:536–552.

    Article  Google Scholar 

  35. Wu WF. Computer simulation and reliability analysis of fatigue crack propagation under random loading. Engineering Fracture Mechanics 1993; 45:697–712.

    Article  Google Scholar 

  36. Gauri L, Mi J. Mean residual life and its association with failure rate. IEEE Transactions on Reliability 1999; 48:262–266.

    Article  Google Scholar 

  37. Tang LC, Lu Y, Chew EP. Mean residual life of lifetime distributions. IEEE Transactions on Reliability 1999; 48:73–78.

    Article  Google Scholar 

  38. Camarinopoulos L, Chatzoulis A, Frontistou-Yannas S. Assessment of the time-dependent structural reliability of buried water mains. Reliability Engineering and System Safety 1999; 65: 41–53.

    Article  Google Scholar 

  39. Zuo M, Chiovelli S, Huang J. Reliability evaluation of furnace systems. Reliability Engineering and System Safety 1999; 65:283–287.

    Article  Google Scholar 

  40. Bloch HP, Geitner FK. An introduction to machinery reliability assessment. Gulf Publishing Company, Houston, TX, 1994.

    Google Scholar 

  41. Rausand M, Reinertsen R, Failure mechanisms and life models. Reliability. Quality and Safety Engineering 1996; 3:137–152.

    Article  Google Scholar 

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© 2008 Springer-Verlag London Limited

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Xie, L., Wang, Z. (2008). Reliability Degradation of Mechanical Components and Systems. In: Misra, K.B. (eds) Handbook of Performability Engineering. Springer, London. https://doi.org/10.1007/978-1-84800-131-2_27

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  • DOI: https://doi.org/10.1007/978-1-84800-131-2_27

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84800-130-5

  • Online ISBN: 978-1-84800-131-2

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