Dynamic Updating of Cumulative Damage Models for Reliability and Maintenance Based upon Service Information

  • J. L. Bogdanoff
  • F. Kozin
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


The purpose of this paper is to show that the time transformation (tt.) technique employed in B-models provides a useful method for updating the accuracy of models of cumulative damage (CD) based upon service information. An accurate model of CD can provide a useful tool (reference model) for the management (control) of a fleet of physical units subject to CD under cost and reliability constraints.


Service Information Replacement Program Cumulative Damage Service Period Inspection Time 
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  1. 1.
    Barlow, R.E., and Proschan, F., “Statistical Theory of Reliability and Life Testing,” Holt, Rinehart and Winston, Inc., New York, 1975.MATHGoogle Scholar
  2. 2.
    Taylor, H.M., “Optimal Replacement under Additive Damage and other Failure Models,” Naval. Res. Logist, Quart., 1975, pp. 1–18.Google Scholar
  3. 3.
    Feldman, R.M., “Optimal Replacement with Semi-Markov Shock Models,” J. Appl. Prob., Vol. 13, 1976, pp. 108–117.MATHCrossRefGoogle Scholar
  4. 4.
    Gertsbahk, I.B., “Models of Preventive Maintenance,” North-Holland Publishing Co., New York, 1977.Google Scholar
  5. 5.
    Monahan, G.E., “A Survey of Partially Observable Markov Decision Processes: Theory, Models and Algorithms,” Manag. Science, Vol. 28, No. 1, Jan. 1982, pp. 1–16.MATHMathSciNetCrossRefGoogle Scholar
  6. 6.
    Yao, J.T.P., “Damage Assessment and Reliability Evaluation of Existing Structures, ” J.urn. Engrg. Structures, Vol. 1, Oct. 1979, pp. 245–251.CrossRefGoogle Scholar
  7. 7.
    Probabilistic Methods in Structural Engineering,“ Ed. M. Shinozuka and J.P.T. Yao, ASCE, New York, 1981.Google Scholar
  8. 8.
    Bogdanoff, J.L., “A New Cumulative Damage Model,” Part 1 & Part 2, J.urn. Appl. Mech., Vol. 45, June 1978, pp. 246–257.ADSCrossRefGoogle Scholar
  9. 9.
    Kozin, F. and Bogdanoff, J.L., “A Critical Analysis of Some Probabilistic Models of Fatigue Crack Growth,” Engrg. Fract. Mech., Vol. 14, 1981, pp. 49–89.CrossRefGoogle Scholar
  10. 10.
    Bogdanoff, J.L. and Kozin, F., “On Nonstationary Cumulative Damage Models,” Journ. Appl. Mech., Vol. 49, March 1982, pp. 37–42.MATHADSCrossRefGoogle Scholar
  11. 11.
    Kozin, F. and Bogdanoff, J.L., “Cumulative Damage: Reliability and Maintainability,” ASTM, STP 798, ed. Bloom & Ekva11, 1983, pp. 131–146.Google Scholar
  12. 12.
    Bogdanoff, J.L. and Kozin, F., “Probabilistic Models of Cumulative Damage,” John Wiley & Sons, New York, to appear.Google Scholar

Copyright information

© Springer-Verlag, Berlin, Heidelberg 1985

Authors and Affiliations

  • J. L. Bogdanoff
    • 1
  • F. Kozin
    • 2
  1. 1.School of Aero and Astro EngineeringPurdue UniversityWest LafayetteUSA
  2. 2.Dept. of Electrical EngineeringPolytechnic Institute of New YorkFarmingdaleUSA

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