Skip to main content
SpringerLink
Log in

Intelligent Planning Reliability-Based Inspections of Fatigued Structures for the Crack Initiation Period in the Weibull Case under Parametric Uncertainty

  • Published:
Automatic Control and Computer Sciences Aims and scope Submit manuscript

Abstract

In this paper, periodic inspections of fatigued structures, which are common practice in order to maintain their reliability above a desired minimum level, are based on the conditional reliability of the structure. It is assumed that only the functional form of the underlying distribution of time to crack initiation (when a technically detectable crack is present) is specified, but some or all of its parameters are unspecified. The new technique of intelligent planning is proposed in this paper to construct more accurate reliability-based and cost-effective inspections of fatigued structures with decreasing intervals (as alternative to constant intervals) for the crack initiation period in the Weibull case under parametric uncertainty. The technique is conceptually simple and easy to use. To illustrate the suggested technique some numerical examples are given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Stephens, R.I., Fatemi, A., Stephens, R., and Fuchs, H.O., Metal Fatigue in Engineering, New York: John Wiley and Sons, USA, 2000.

    Google Scholar 

  2. Miner, M.A., Cumulative damage in fatigue, J. Appl. Mech., 1945, vol. 12, pp. 159–164.

    Google Scholar 

  3. Ayoub, G., Naït-Abdelaziz, M., Zaïri, F., and Gloaguen, J.M., Multiaxial fatigue life prediction of rubber-like materials using the continuum damage mechanics approach, Procedia Eng., 2010, vol. 2, pp. 985–993.

    Article  Google Scholar 

  4. Nechval, K.N., Ensuring and checking reliability and survivability of aircraft structures with Weibull distribution law of fatigue durability, Doctoral (Eng.) Dissertation, Riga: Technical University of Riga, 2008.

    Google Scholar 

  5. Military Specification, Airplane Damage Tolerance Requirements, MIL-A-83444 (USAF), 1974.

  6. Nechval, N.A., Nechval, K.N., and Vasermanis, E.K., Statistical models for prediction of the fatigue crack growth in aircraft service, in Fatigue Damage of Materials, Varvani-Farahani, A. and Brebbia, C.A., Eds., Southampton, Boston: WIT Press, 2003, pp. 435–445.

    Google Scholar 

  7. Nechval, N.A., Nechval, K.N., and Vasermanis, E.K., Estimation of warranty period for structural components of aircraft, Aviation, 2004, vol. VIII, pp. 3–9.

    Google Scholar 

  8. Barlow, R.E., Hunter, L.C., and Proschan, F., Optimum checking procedures, J. Soc. Ind. Appl. Math., 1963, vol. 11, pp. 1078–1095.

    Article  MathSciNet  MATH  Google Scholar 

  9. Luss, H. and Kander, Z., Inspection policies when duration of checkings is non-negligible, Oper. Res. Q., 1974, vol. 25, pp. 299–309.

    Article  MATH  Google Scholar 

  10. Sengupta, B., Inspection procedures when failure symptoms are delayed, Oper. Res. Q., 1977, vol. 28, pp. 768–776.

    Article  MATH  Google Scholar 

  11. Munford, A.G. and Shahani, A.K., A nearly optimal inspection policy, Oper. Res. Q., 1972, vol. 23, pp. 373–379.

    Article  MATH  Google Scholar 

  12. Munford, A.G. and Shahani, A.K., An inspection policy for the Weibull case, Oper. Res. Q., 1973, vol. 24, pp. 453–458.

    Article  Google Scholar 

  13. Tadikamalla, P.R., An inspection policy for the gamma failure distributions, Oper. Res. Q., 1979, vol. 30, pp. 77–78.

    Article  MATH  Google Scholar 

  14. Munford, A.G., Comparison among certain inspection policies, Manage. Sci., 1981, vol. 27, pp. 260–267.

    Article  MATH  Google Scholar 

  15. Nechval, N.A., Nechval, K.N., Berzins, G., Purgailis, M., and Rozevskis, U., Stochastic fatigue models for efficient planning inspections in service of aircraft structures, in Analytical and Stochastic Modeling Techniques and Applications, Al-Begain, K., Heindl, A., and Telek, M., Eds., Berlin, Heidelberg: Springer-Verlag, 2008; Lect. Notes Comput. Sci., 2008, vol. 5055, pp. 114–127.

    Article  Google Scholar 

  16. Nechval, K.N., Nechval, N.A., Berzins, G., Purgailis, M., Rozevskis, U., and Strelchonok, V.F., Optimal adaptive inspection planning process in service of fatigued aircraft structures, in Analytical and Stochastic Modeling Techniques and Applications, Al-Begain, K., Fiems, D., and Horvath, G., Eds., Berlin, Heidelberg: Springer-Verlag, 2009; Lect. Notes Comput. Sci., 2009, vol. 5513, pp. 354–369.

    Article  Google Scholar 

  17. Nechval, N.A., Nechval, K.N., and Purgailis, M., Inspection policies in service of fatigued aircraft structures, in Electrical Engineering and Applied Computing, Ao, S.I. and Gelman, L., Eds., Berlin, Heidelberg: Springer Science+Business Media B.V., 2011; Lect. Notes Electr. Eng., 2011, vol. 90, pp. 459–472.

    Article  Google Scholar 

  18. Nechval, N.A., Berzins, G., Purgailis, M., and Nechval, K.N., Improved estimation of state of stochastic systems via invariant embedding technique, WSEAS Trans. Math., 2008, vol. 7, pp. 141–159.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. BVEF Research Institute, University of Latvia, Riga, LV-1050, Latvia

    N. A. Nechval & G. Berzins

  2. Aviation Department, Transport and Telecommunication Institute, Riga, LV-1019, Latvia

    K. N. Nechval

Authors
  1. N. A. Nechval
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Berzins
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. K. N. Nechval
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to N. A. Nechval.

Additional information

The article is published in the original.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nechval, N.A., Berzins, G. & Nechval, K.N. Intelligent Planning Reliability-Based Inspections of Fatigued Structures for the Crack Initiation Period in the Weibull Case under Parametric Uncertainty. Aut. Control Comp. Sci. 52, 184–197 (2018). https://doi.org/10.3103/S0146411618030094

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0146411618030094

Keywords

Search

Navigation