Skip to main content
SpringerLink
Log in

The Dynamic Reliability Model under Variable Loads and Accelerated Tests

  • RELIABILITY, STRENGTH, AND WEAR RESISTANCE OF MACHINES AND STRUCTURES
  • Published:
Journal of Machinery Manufacture and Reliability Aims and scope Submit manuscript

Abstract

In this paper, we propose a new formulation of the physical reliability principle and build a reliability model in the form of a system of differential equations taking into account variable loads. A load is applied to the input of the dynamic system, and a probability function of failure-free operation is formed at its output. The conditions for the equivalence of dynamic models are studied. In the presence of self-similarity of damage accumulation processes, the general dynamic model is reduced to an equivalent simplified basic dynamic model. The results obtained can be used in the theory of reliability of systems with variable loads, in the analysis of survival, and in the theory of accelerated and forced tests.

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. Gnedenko, V.B., Belyaev, Yu.K., and Solov’ev, F.D., Matematicheskie metody v teorii nadezhnosti (Mathematical Methods in the Theory of Reliability), Moscow: Nauka, 1965.

  2. Nadezhnost’ v mashinostroenii: Spravochnik (Reliability in Mechanical Engineering: Handbook), Shashkin, V.V. and Karzov, G.P., Eds., St. Petersburg: Politekhnika, 1992.

    Google Scholar 

  3. Bolotin, V.V., Resurs mashin i konstruktsii (Lifetime of Machines and Structures), Moscow: Mashinostroenie, 1990.

  4. Melamedov, I.M., Fizicheskie osnovy nadezhnosti (Physical Foundations of Reliability), Leningrad: Energiya, 1970.

  5. Makhutov, N.A., Strength, service life, and safety of machine systems, J. Mach. Manuf. Reliab., 2014, vol. 43, pp. 217–232.

    Article  Google Scholar 

  6. Makhutov, N.A., Generalized regularities of deformation and fracture processes, Herald Russ. Acad. Sci., 2017, vol. 87, pp. 217–228.

    Article  Google Scholar 

  7. Matvienko, Yu.G., Modeli i kriterii mekhaniki razrusheniya (Fracture Mechanics Models and Criteria), Moscow: Fizmatlit, 2006.

  8. Grib, V.V., Petrova, I.M., and Romanov, A.N., Estimation of the probability of mechanical systems breakdown by technical state modeling, J. Mach. Manuf. Reliab., 2016, vol. 45, pp. 433–437.

    Article  Google Scholar 

  9. Romanov, A.N., Regularities of deformation and fracture of structural materials under cyclic loading at the stage of cracking, Mekh. Mash. Mekh. Mater., 2017, no. 3, p. 67.

  10. Pronikov, A.S., Nadezhnost’ mashin (Reliability of Machines), Moscow: Mashinostroenie, 1978.

  11. Escobar, L.A. and Meeker, W.Q., A review of accelerated test models, Stat. Sci., 2006, vol. 21, no. 4, p. 552.

    Article  MathSciNet  Google Scholar 

  12. Cox, D., Regression models and life tables, J. R. Stat. Soc., vol. 34, p. 187.

  13. Bagdonavicius, V. and Nikulin, M., Accelerated Life Models: Modeling and Statistical Analysis, Boca Raton, FL: Florida: Chapman & Hall, 2002.

  14. Sedyakin, N.M., On a physical principle of the theory of reliability, Izv. Akad. Nauk SSSR, Tekh. Kibern., 1966, no. 3, p. 80.

  15. Perrote, A.I., Kartashov, G.D., and Tsvetaev, K.N., Osnovy uskorennykh ispytanii radioelementov na nadezhnost’' (Fundamentals of Accelerated Testing of Radioelements for Reliability), Moscow: Sov. Radio, 1968.

  16. Peshes, L.Ya. and Stepanova, M.D., Osnovy uskorennykh ispytanii na nadezhnost' (Basics of Accelerated Reliability Testing), Minsk: Nauka Tekh., 1972.

  17. Pavlov, I.V., Calculating reliability indices under the conditions of an alternating operating regime, J. Mach. Manuf. Reliab., 2012, vol. 41, pp. 431–434.

    Article  Google Scholar 

  18. Pavlov, I.V., Reliability evaluation according to the results of accelerated testing in alternating mode under increasing load, J. Mach. Manuf. Reliab., 2013, vol. 42, pp. 486–490.

    Article  Google Scholar 

  19. Belov, V.N., Determination of the range of applicability of models of lifetime loss, Izv. Akad. Nauk SSSR, Tekh. Kibern., 1988, no. 3, p. 98.

  20. Novikov, P.I. and Prourzin, V.A., A dynamic model of the insulation reliability of electrical machines, J. Mach. Manuf. Reliab., 2005, no. 1, p. 106.

  21. Prourzin, V.A., General physical principle in dynamic model of reliability, Int. J. Risk Assess. Manage., 2017, vol. 20, no. 4, p. 322.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Problems of Mechanical Engineering, Russian Academy of Sciences, 199178, St. Petersburg, Russia

    V. A. Prourzin

Authors
  1. V. A. Prourzin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. A. Prourzin.

Additional information

Translated by A. Ivanov

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Prourzin, V.A. The Dynamic Reliability Model under Variable Loads and Accelerated Tests. J. Mach. Manuf. Reliab. 49, 395–400 (2020). https://doi.org/10.3103/S1052618820050118

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1052618820050118

Keywords:

Search

Navigation